ORIGINAL_ARTICLE
Effect of Follower Force on Vibration Frequency of MagnetoStrictiveFaced Sandwich Plate with CNTR Composite Core
This study deals with the vibration response of sandwich plate with nanocomposite core and smart magnetostrictive face sheets. Composite core is reinforced by carbon nanotubes (CNTs) and its effective elastic properties are obtained by the rule of Mixture. TerfenolD films are used as the face sheets of sandwich due to magnetomechanical coupling in magnetostrictive material (MsM). In order to investigate the magnetization effect on the vibration characteristics of sandwich plate, a feedback control system is utilized. Also the sandwich plate undergoes the follower forces in opposite direction of x. Based on energy method, equations of motions are derived using Reddy’s third order shear deformation theory, and Hamilton’s principle and solved by differential quadrature method (DQM). A detailed numerical study is carried out based on thirdorder shear deformation theory to indicate the significant effect of follower forces, volume fraction of CNTs, temperature change, coretoface sheet thickness ratio and controller effect of velocity feedback gain on dimensionless frequency of sandwich plate. These finding can be used to automotive industry, aerospace and building industries.
http://jsm.iauarak.ac.ir/article_545713_284dbbab68338eb09b90612246f5b9ba.pdf
20181230T11:23:20
20191023T11:23:20
688
701
Sandwich plate
Follower force
Feedback control system
Nanocomposite
Magnetostrictive sheets
M.R
Ghorbanpour Arani
mrezagh6193@gmail.com
true
1
Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran
Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran
Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran
LEAD_AUTHOR
Z
Khoddami Maraghi
z.khoddami@gmail.com
true
2
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
[1] Reddy J.N., 2004, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton.
1
[2] Panda S., Ray M.C., 2009, Active control of geometrically nonlinear vibrations of functionally graded laminated composite plates using piezoelectric ﬁber reinforced composites, Journal of Sound and Vibration 325(12): 186205.
2
[3] Wang Z.X., Shen H.S., 2012, Nonlinear vibration and bending of sandwich plates with nanotubereinforced composite face sheets, Composites Part BEngineering 43(2): 411421.
3
[4] Lei Z.X., Liew K.M., Yu J.L., 2013, Free vibration analysis of functionally graded carbon nanotubereinforced composite plates using the elementfree kpRitz method in thermal environment, Composite Structures 106: 128138.
4
[5] Natarajan S., Haboussi M., Manickam G., 2014, Application of higherorder structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite face sheets, Composite Structures 113: 197207.
5
[6] Malekzadeh K., Khalili S.M.R., Abbaspour P., 2010, Vibration of nonideal simply supported laminated plate on an elastic foundation subjected to inplane stresses, Composite Structures 92: 14781484.
6
[7] Lee S.J., Reddy J.N., RostamAbadi F., 2004, Transient analysis of laminate embedded smartmaterial layers, Finite Elements in Analysis and Design 40(56): 463483.
7
[8] Hong C.C., 2010, Transient responses of magnetostrictive plates by using the GDQ method, European Journal of Mechanics ASolids 29(6): 10151021.
8
[9] Kim J.H., Kim H.S., 2000, A study on the dynamic stability of plates under a follower force, Computers and Structures 74: 351363.
9
[10] Jayaraman G., Struthers A., 2005, Divergence and flutter instability of elastic specially orthotropic plates subject to follower forces, Journal of Sound and Vibration 281: 357373.
10
[11] Guo X., Wang Z., Wang Y., 2011, Dynamic stability of thermoelastic coupling moving plate subjected to follower force, Applied Acoustics 72: 100107.
11
[12] Pourasghar A., Kamarian S., 2013, Dynamic stability analysis of functionally graded nanocomposite nonuniform column reinforced by carbon nanotube, Journal of Vibration and Control 21: 24992508.
12
[13] Shen H.S., 2009, Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments, Composite Structures 91: 919.
13
[14] Han Y., Elliott J., 2007, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Computational Materials Science 39(2): 315323.
14
[15] Hong C.C., 2009, Transient responses of magnetostrictive plates without shear effects, International Journal of Engineering Science 47(3): 355362.
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[16] Krishna M., Anjanappa M., Wu Y.F., 1997, The use of magnetostrictive particle actuators for vibration attenuation of flexible beams, Journal of Sound and Vibration 206(2): 133149.
16
[17] Daneshmehr A., Rajabpoor A., Pourdavood M., 2014, Stability of size dependent functionally graded nanoplate based on nonlocal elasticity and higher order plate theories and different boundary conditions, International Journal of Engineering Science 82: 84100.
17
[18] Wang C.M., Reddy J.N., Lee K.H. 2000, Shear Deformable Beams and Plates, Elsevier Science Ltd, UK.
18
[19] Reddy J.N., 2000, Energy Principles and Variational Methods in Applied Mechanics,John Wiley and Sons Publishers, Texas.
19
[20] Ghorbanpour Arani A., Vossough H., Kolahchi R., Mosallaie Barzoki A.A., 2012, Electrothermo nonlocal nonlinear vibration in an embedded polymeric piezoelectric micro plate reinforced by DWBNNTs using DQM, Journal of Mechanical Science and Technology 26(10): 30473057.
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[21] Shu C., 2000, Differential Quadrature and its Application in Engineering, Singapore, Springer publishers.
21
[22] Leissa A.W., 1973, The free vibration of rectangular plates, Journal of Sound and Vibration 31(3): 257293.
22
ORIGINAL_ARTICLE
QuasiStatic Deformation of a Uniform Thermoelastic Half –Space Due to Seismic Sources and Heat Source
This paper investigates the quasistatic plane deformation of an isotropic thermoelastic halfspace due to buried seismic sources and heat source. Governing equations of thermoelasticity are solved to obtain solutions for seismic sources in a thermoelastic halfspace. The general solutions are acquired with the aid of Laplace and Fourier transforms and with the use of boundary conditions. The case of dipslip line dislocation is studied in detail along with line heat source. Analytical solutions for two limiting cases: adiabatic and isothermal, are obtained. The solutions for displacement, stresses and temperature in spacetime domain are obtained by using a numerical inversion procedure. The accuracy of the proposed method is verified through a comparison of the results obtained with the existing solutions for elastic medium. In addition, numerical results for displacements, stresses and temperature function, induced by a vertical dipslip dislocation and line heat source, are presented graphically to illustrate the effect of inclusion of thermal effect in simulation of the problem.
http://jsm.iauarak.ac.ir/article_545714_ea4baa2981a32dcee431ab74e5561bdb.pdf
20181230T11:23:20
20191023T11:23:20
702
718
Thermoelastic
Seismic source
Dipslip dislocation
Plane deformation
Heat source
A.K
Vashishth
akvashishth@kuk.ac.in
true
1
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
LEAD_AUTHOR
K
Rani
true
2
Department of Mathematics, CMG Govt. College for Women, Bhodia Khera, Fatehabad 125050, India
Department of Mathematics, CMG Govt. College for Women, Bhodia Khera, Fatehabad 125050, India
Department of Mathematics, CMG Govt. College for Women, Bhodia Khera, Fatehabad 125050, India
AUTHOR
[1] Steketee J. A., 1958, On Volterra's dislocations in a semiinfinite elastic medium, Canadian Journal of Physics 36: 192205.
1
[2] Maruyama T., 1964, Statical elastic dislocations in an infinite and semiinfinite medium, Bulletin of the Earthquake Research Institute 42: 289368.
2
[3] Maruyama T., 1966, On twodimensional elastic dislocations in an infinite and semiinfinite medium, Bulletin of the Earthquake Research Institute 44: 811871.
3
[4] Savage J.C., 1974, Dislocations in Seismology, Dislocation Theory: A Treatise, New York, Marcel Dekker.
4
[5] Savage J.C., 1980, Dislocations in Seismology, Dislocations in Solids, Amsterdam, North Holland.
5
[6] Freund L.B., Barnett D.M., 1976, A two dimensional analysis of surface deformation due to dipslip faulting, Bulletin of the Seismological Society of America 66: 667675.
6
[7] Okada Y., 1985, Surface deformation due to shear and tensile faults in a halfspace, Bulletin of the Seismological Society of America 75(4): 11351154.
7
[8] Okada Y., 1992, Internal deformation due to shear and tensile faults in a halfspace, Bulletin of the Seismological Society of America 82(2): 10181040.
8
[9] Rani S., Singh S.J., Garg N.R., 1991, Displacements and stresses at any point of a uniform half space due to twodimensional buried sources, Physics of the Earth and Planetary Interiors 65: 276282.
9
[10] Cohen S.C., 1992, Post seismic deformation and stresses diffusion due to viscoelasticity and comments on the modified Elsasser model, Journal of Geophysical Research 97: 1539515403.
10
[11] Singh S.J., Rani S., 1996, 2D modeling of the crustal deformation associated with strikeslip and dipslip faulting in the Earth, Proceedings of the Indian Academy of Science 66: 187215.
11
[12] Singh M., Singh S.J., 2000, Static deformation of a uniform halfspace due to a very long tensile fault, Journal of Earthquake Technology 37: 2738.
12
[13] Singh S.J., Kumar A., Rani S., Singh M., 2002, Deformation of a uniform halfspace due to a long inclined tensile fault, Geophysical Journal International 148: 687691.
13
[14] Tomar S.K., Dhiman N.K., 2003, 2D Deformation analysis of a halfspace due to a long dipslip fault at finite depth, Proceedings of the Indian Academy of Science 112(4): 587596.
14
[15] Rani S., Verma R.C., 2013, Twodimensional deformation of a uniform halfspace due to nonuniform movement accompanying a long vertical tensile fracture, Journal of Earth System Science 122(4): 10551063.
15
[16] Gade M., Raghukanth S.T.G., 2015, Seismic ground motion in micro polar elastic halfspace, Applied Mathematical Modelling 39: 72447265.
16
[17] Sahrawat R.K., Godara Y., Singh M., 2014, Static deformation of a uniform half space with rigid boundary due to a long dipslip fault of finite width, International Journal of Engineering and Technical Research 2(5): 189194.
17
[18] Volkov D., 2009, An inverse problem for faults in elastic half space, ESAIM: Proceedings 26: 123.
18
[19] Volkov D., Vousin C., Ionescu I.R., 2017, Determining fault geometries from surface displacements, Pure and Applied Geophysics 174(4): 16591678.
19
[20] Singh S.J., Garg N. R., 1986, On the representation of twodimensional seismic sources, Acta Geophysica 34: 112.
20
[21] Singh S.J., Rani S., 1991, Static deformation due to two dimensional seismic sources embedded in an isotropic halfspace in welded contact with an orthotropic halfspace, Journal of Physics of the Earth 39: 599618.
21
[22] Rani S., Singh S. J., 1992, Static deformation of a uniform halfspace due to a long dipslip fault, Geophysical Journal International 109: 469476.
22
[23] Rani S., Singh S.J., 1992, Static deformation of two welded halfspaces due to dipslip faulting, Proceedings of the Indian Academy of Science 101: 269282.
23
[24] Singh S.J., Rani S., Garg N. R., 1992, Displacement and stresses in two welded half spaces caused by twodimensional buried sources, Physics of the Earth and Planetary Interiors 70: 90101.
24
[25] Garg N.R., Madan D.K., Sharma R.K., 1996, Twodimensional deformation of an orthotropic elastic medium due to seismic sources, Physics of the Earth and Planetary Interiors 94(1): 4362.
25
[26] Singh S. J., Punia M., Kumari G., 1997, Deformation of a layered halfspace due to a very long dipslip fault, Proceedings of the Indian National Science Academy 63(3): 225240.
26
[27] Rani S., Bala N., 2006, 2D deformation of two welded halfspaces due to a blind dipslip fault, Journal of Earth System Science 115: 277287.
27
[28] Rani S., Bala N., Verma R.C., 2012, Displacement field due to nonuniform slip along a long dipslip fault in two welded halfspaces, Journal of Earth Science 23(6): 864872.
28
[29] Malik M., Singh M., Singh J., 2013, Static deformation of a uniform halfspace with rigid boundary due to a vertical dipslip line source, IOSR Journal of Mathematics 4(6): 2637.
29
[30] Debnath S. K., Sen S., 2013, Pattern of stressstrain accumulation due to a long dip slip fault movement in a viscoelastic layered model of the lithosphere –asthenosphere system, International Journal of Applied Mechanics and Engineering 18(3): 653670.
30
[31] Godara Y., Sahrawat R. K., Singh M., 2014, Static deformation due to twodimensional seismic sources embedded in an isotropic halfspace in smooth contact with an orthotropic halfspace, Global Journal of Mathematical Analysis 2(3): 169183.
31
[32] Verma R.C., Rani S., Singh S. J., 2016, Deformation of a poroelastic layer overlying an elastic halfspace due to dipslip faulting, International Journal for Numerical and Analytical Methods in Geomechanics 40: 391405.
32
[33] Pan E., 1990, Thermoelastic deformation of a transversely isotropic and layered halfspace by surface loads and internal sources, Physics of the Earth and Planetary Interiors 60: 254264.
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[34] Ghosh M.K., Kanoria M., 2007, Displacements and stresses in composite multilayered media due to varying temperature and concentrated load, Applied Mathematics and Mechanics 28(6): 811822.
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[35] Hou P.F., Tong J., Xiong S.M., Hu J.F., 2012, Twodimensional Green’s functions for semiinfinite isotropic thermoelastic plane, Zeitschrift für Angewandte Mathematik und Physik 64: 15871598.
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[36] Jacquey A.B., Cacace M., Blocher G., Wenderoth M. S., 2015, Numerical investigation of thermoelastic effects on fault slip tendency during injection and production of geothermal fluids, Energy Procedia 76: 311320.
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[37] Marin M., Florea O., Mahmoud S.R., 2015, A result regarding the seismic dislocations in micro stretch thermoelastic bodies, Mathematical Problems in Engineering 2015: 18.
37
[38] Vashisth A.K., Rani K., Singh K., 2015, Quasistatic planar deformation in a medium composed of elastic and thermoelastic solid half spaces due to seismic sources in an elastic solid, Acta Geophysica 63(3): 605633.
38
[39] Naeeni M.R., EskandariGhadi M., Ardalan A.A., Rahimian M., Hayati Y., 2013, Analytical solution of coupled thermoelastic axisymmetric transient waves in a transversely isotropic halfspace, Journal of Applied Mechanics 80(2): 024502 (17).
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[40] Hayati Y., EskandariGhadi M., Raoofian M., Rahimian M., Ardalan A.A., 2013, Dynamic Green's functions of an axisymmetric thermoelastic halfspace by a method of potentials, Journal of Engineering Mechanics 139(9): 11661177.
40
[41] Naeeni M.R., EskandariGhadi M., Ardalan A.A., Pak R.Y.S., 2014, Asymmetric motion of a transversely isotropic thermoelastic halfspace under timeharmonic buried source, Zeitschrift für Angewandte Mathematik und Physik 65(5): 10311051.
41
[42] Naeeni M.R., Ghadi M.E., Ardalan A.A., Sture S., Rahimian M., 2015, Transient response of a thermoelastic halfspace to mechanical and thermal buried sources, Journal of Applied Mathematics and Mechanics 95(4): 354376.
42
[43] Eskandari‐Ghadi M., Raoofian‐Naeeni M., Pak R.Y.S., Ardalan A.A., Morshedifard A., 2017, Three dimensional transient Green's functions in a thermoelastic transversely isotropic half‐space, Journal of Applied Mathematics and Mechanics 97: 16111624.
43
[44] Kordkheili H.M., Amiri G.G., Hosseini M., 2016, Axisymmetric analysis of a thermoelastic isotropic halfspace under buried sources in displacement and temperature potentials, Journal of Thermal Stresses 40: 237254.
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[45] Nowacki W., 1966, Green’s functions for a thermoelastic medium (quasistatic problem), Bulletin of Institute Political Jasi 12(34): 8392.
45
[46] Cohen S.C., 1996, Convenient formulas for determining dipslip fault parameters from geophysical observables, Bulletin of the Seismological Society of America 86(5): 16421644.
46
[47] Kato N., 2001, Simulation of seismic cycles of buried intersecting reverse faults, Journal of Geophysical Research: Solid Earth 106(B3): 42214232.
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[48] Cattin R., Loevenbruck A., Pichon X.L., 2004, Why does the coseismic slip of the 1999 ChiChi (Taiwan) earthquake increase progressively northwestward on the plane of rupture? Tectonophysics 386: 6780.
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[49] Mitsui Y., Hirahara K., 2007, Two‐dimensional model calculations of earthquake cycle on a fluid‐infiltrated plate interface at a subduction zone: Focal depth dependence on pore pressure conditions, Geophysical Research Letters 34(9): L09310 (16).
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[50] Mitsui Y., Hirahara K., 2008, Longterm slow slip events are not necessarily caused by high pore fluid pressure at the plate interface: An implication from twodimensional model calculations, Geophysical Journal International 174: 331335.
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[51] Kanda R.V., Simons M., 2012, Practical implications of the geometrical sensitivity of elastic dislocation models for field geologic surveys, Tectonophysics 560561: 94104.
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[52] Zakian P., Khaji N., Soltani M., 2017, A Monte Carlo adapted finite element method for dislocation simulation of faults with uncertain geometry, Journal of Earth System Science 126(7): 105(122).
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[53] Lay T., Wallace T. C., 1995, Modern Global Seismology, Academic Press, New York.
53
[54] Banerjee P.K., 1994, The Boundary Element Methods in Engineering, McGrawHill book company, New York.
54
[55] BenMenahem A., Singh S. J., 1981, Seismic Waves and Sources, SpringerVerlag, New York.
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[56] Barber J.R., 2004, Elasticity, Kluwer academic publishers, New York.
56
[57] Erdelyi A., 1954, Bateman Manuscript ProjectTables of Integral Transforms, McGraw Hill book company, New York.
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[58] Ahrens T.J., 1995, Mineral Physics and Crystallography: A Handbook of Physical Constants, American Geophysical Union, Washington.
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[59] Aki K., Richards P.G., 1980, Quantitative Seismology: Theory and Methods, Freeman and Company, San Francisco.
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[60] Schapery R.A., 1962, Approximate methods of transform inversion for viscoelastic stress analysis, Proceedings of the Fourth US National Congress of Applied Mechanics 2: 10751085.
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61
ORIGINAL_ARTICLE
TwoDimensional Elasticity Solution for Arbitrarily Supported Axially Functionally Graded Beams
First time, an analytical twodimensional (2D) elasticity solution for arbitrarily supported axially functionally graded (FG) beam is developed. Linear gradation of the material property along the axis of the beam is considered. Using the strain displacement and constitutive relations, governing partial differential equations (PDEs) is obtained by employing Ressiner mixed variational principle. Then PDEs are reduced to two set of ordinary differential equations (ODEs) by using recently developed extended Kantorovich method. The set of 4n ODEs along the zdirection has constant coefficients. But, the set of 4n nonhomogeneous ODEs along xdirection has variable coefficients which is solved using modified power series method. Efficacy and accuracy of the present methodology are verified thoroughly with existing literature and 2D finite element solution. Effect of axial gradation, boundary conditions and configuration layups are investigated. It is found that axial gradation influence vary with boundary conditions. These benchmark results can be used for assessing 1D beam theories and further present formulation can be extended to develop solutions for 2D micro or Nanobeams.
http://jsm.iauarak.ac.ir/article_545715_c4a2ed8ed7838886bc9aff06688c8347.pdf
20181230T11:23:20
20191023T11:23:20
719
733
Axially functionally graded
TwoDimensional elasticity
Arbitrary supported
Extended Kantorovich method
A
Singh
true
1
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India
AUTHOR
P
Kumari
kpmech@iitg.ernet.in
true
2
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India
LEAD_AUTHOR
[1] Nakamura T., Singh R., Vaddadi P., 2006, Effects of environmental degradation on flexural failure strength of fiber reinforced composites, Experimental Mechanics 46(2): 257268.
1
[2] Barbero E., Cosso F., Campo F., 2013, Benchmark solution for degradation of elastic properties due to transverse matrix cracking in laminated composites, Composite Structures 98: 242252.
2
[3] AddaBedia E., Bouazza M., Tounsi A., Benzair A., Maachou M., 2008, Prediction of stiffness degradation in hygrothermal aged [θm/90n]S composite laminates with transverse cracking, Journal of Materials Processing Technology 199(1): 199205.
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[4] Naebe M., Shirvanimoghaddam K., 2016, Functionally graded materials: A review of fabrication and properties, Applied Materials Today 5: 223245.
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[5] Sankar B., 2001, An elasticity solution for functionally graded beams, Composites Science and Technology 61(5): 689696.
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[6] Ding H., Huang D., Chen W., 2007, Elasticity solutions for plane anisotropic functionally graded beams, International Journal of Solids and Structures 44(1): 176196.
6
[7] Zhong Z., Yu T., 2007, Analytical solution of a cantilever functionally graded beam, Composites Science and Technology 67(3): 481488.
7
[8] Kapuria S., Bhattacharyya M., Kumar A., 2008, Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation, Composite Structures 82(3): 390402.
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[9] Kadoli R., Akhtar K., Ganesan N., 2008, Static analysis of functionally graded beams using higher order shear deformation theory, Applied Mathematical Modelling 32(12): 25092525.
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[10] Nguyen T.K., Vo T.P., Thai H.T., 2013, Static and free vibration of axially loaded functionally graded beams based on the firstorder shear deformation theory, Composites Part B: Engineering 55: 147157.
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[11] Pradhan K., Chakraverty S., 2014, Effects of different shear deformation theories on free vibration of functionally graded beams, International Journal of Mechanical Sciences 82: 149160.
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[12] Sallai B., Hadji L., Daouadji T.H., Adda B., 2015, Analytical solution for bending analysis of functionally graded beam, Steel and Composite Structures 19(4): 829841.
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[13] Filippi M., Carrera E., Zenkour A., 2015, Static analyses of FGM beams by various theories and finite elements, Composites Part B: Engineering 72: 19.
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[14] Jing L.I., Ming P.J., Zhang W.P., Fu L.R., Cao Y.P., 2016, Static and free vibration analysis of functionally graded beams by combination Timoshenko theory and finite volume method, Composite Structures 138: 192213.
14
[15] Aldousari S., 2017, Bending analysis of different material distributions of functionally graded beam, Applied Physics A 123(4): 296.
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[16] Ghumare S.M., Sayyad A.S., 2017, A new fifthorder shear and normal deformation theory for static bending and elastic buckling of PFGM beams, Latin American Journal of Solids and Structures 14:18931911.
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[17] Elishakoff I., Candan S., 2001, Apparently first closedform solution for vibrating: inhomogeneous beams, International Journal of Solids and Structures 38(19): 34113441.
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[18] Huang Y., Li X.F., 2010, A new approach for free vibration of axially functionally graded beams with nonuniform crosssection, Journal of Sound and Vibration 329(11): 22912303.
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[19] Giunta G., Belouettar S., Carrera E., 2010, Analysis of FGM beams by means of classical and advanced theories, Mechanics of Advanced Materials and Structures 17(8): 622635.
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[20] Sarkar K., Ganguli R., 2013, Closedform solutions for nonuniform EulerBernoulli freefree beams, Journal of Sound and Vibration 332(23): 60786092.
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[21] Sarkar K., Ganguli R., 2014, Closedform solutions for axially functionally graded Timoshenko beams having uniform crosssection and fixed–fixed boundary condition, Composites Part B: Engineering 58: 361370.
21
[22] Li X.F., Kang Y.A., Wu J.X., 2013, Exact frequency equations of free vibration of exponentially functionally graded beams, Applied Acoustics 74(3): 413420.
22
[23] Tang A.Y., Wu J.X., Li X.F., Lee K., 2014, Exact frequency equations of free vibration of exponentially nonuniform functionally graded Timoshenko beams, International Journal of Mechanical Sciences 89: 111.
23
[24] Nguyen N., Kim N., Cho I., Phung Q., Lee J., 2014, Static analysis of transversely or axially functionally graded tapered beams, Materials Research Innovations 18: 260264.
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[25] Kukla S., Rychlewska J., 2016, An approach for free vibration analysis of axially graded beams, Journal of Theoretical and Applied Mechanics 54(3): 859870.
25
[26] Huang Y., Rong H.W., 2017, Free vibration of axially inhomogeneous beams that are made of functionally graded materials, International Journal of Acoustics & Vibration 22(1): 6873.
26
[27] Shahba A., Attarnejad R., Marvi M.T., Hajilar S., 2011, Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and nonclassical boundary conditions, Composites Part B: Engineering 42(4): 801808.
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[28] Shahba A., Attarnejad R., Hajilar S., 2013, A mechanicalbased solution for axially functionally graded tapered EulerBernoulli beams, Mechanics of Advanced Materials and Structures 20(8): 696707.
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[29] Shahba A., Rajasekaran S., 2012, Free vibration and stability of tapered EulerBernoulli beams made of axially functionally graded materials, Applied Mathematical Modelling 36(7): 30943111.
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[30] Li S., Hu J., Zhai C., Xie L., 2013, A unified method for modeling of axially and/or transversally functionally graded beams with variable crosssection profile, Mechanics Based Design of Structures and Machines 41(2): 168188.
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[31] Arefi M., Rahimi G. H., 2013, Nonlinear analysis of a functionally graded beam with variable thickness, Scientific Research and Essays 8(6): 256264.
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[32] Giunta G., Belouettar S., Ferreira A., 2016, A static analysis of threedimensional functionally graded beams by hierarchical modelling and a collocation meshless solution method, Acta Mechanica 227(4): 969991.
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[33] Arefi M., Zenkour A. M., 2017, Vibration and bending analysis of a sandwich microbeam with two integrated piezomagnetic facesheets, Composite Structures 159: 479490.
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[34] Arefi M., Zenkour A. M., 2017, Sizedependent vibration and bending analyses of the piezomagnetic threelayer nanobeams, Applied Physics A 123(3): 202.
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[35] ZenkourA. M., Arefi M., Alshehri N. A., 2017, Sizedependent analysis of a sandwich curved nanobeam integrated with piezomagnetic facesheets, Results in Physics 7: 21722182.
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[36] Arefi M., Zenkour A. M., 2016, A simplified shear and normal deformations nonlocal theory for bending of functionally graded piezomagnetic sandwich nanobeams in magnetothermoelectric environment, Journal of Sandwich Structures & Materials 18(5): 624651.
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[37] Li X., Li L., Hu Y., Ding Z., Deng W., 2017, Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory, Composite Structures 165: 250265.
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[38] Sayyad A.S., Ghugal Y.M., 2017, Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature, Composite Structures 171: 486504.
38
[39] Kapuria S., Kumari P., 2012, Multiterm extended Kantorovich method for three dimensional elasticity solution of laminated plates, Journal of Applied Mechanics 79(6): 061018.
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[40] Kumari P., Kapuria S., Rajapakse R., 2014, Threedimensional extended Kantorovich solution for Levytype rectangular laminated plates with edge effects, Composite Structures 107: 167176.
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[41] Kumari P., Singh A., Rajapakse R., Kapuria S., 2017, Threedimensional static analysis of Levytype functionally graded plate with inplane stiffness variation, Composite Structures 168: 780791.
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[42] Kapuria S., Dumir P., Jain N., 2004, Assessment of zigzag theory for static loading, buckling, free and forced response of composite and sandwich beams, Composite Structures 64(3):317327.
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43
ORIGINAL_ARTICLE
OneDimensional Transient Thermal and Mechanical Stresses in FGM Hollow Cylinder with Piezoelectric Layers
In this paper, an analytical method is developed to obtain the solution for the one dimensional transient thermal and mechanical stresses in a hollow cylinder made of functionally graded material (FGM) and piezoelectric layers. The FGM properties are assumed to depend on the variable r and they are expressed as power functions of r but the Poisson’s ratio is assumed to be constant. Transient temperature distribution, as a function of radial direction and time with general thermal boundary conditions on the inside and outside surfaces, is analytically obtained for different layers, using the method of separation of variables and generalized Bessel function. A direct method is used to solve the Navier equations, using the Euler equation and complex Fourier series. This method of solution does not have the limitations of the potential function or numerical methods as to handle more general types of the mechanical and thermal boundary conditions.
http://jsm.iauarak.ac.ir/article_545716_2fec8bf49c3416c8383be6369424f803.pdf
20181230T11:23:20
20191023T11:23:20
734
752
Transient
Symmetric thermal stress
Hollow cylinder
Functionally graded material
Piezoelectric
S.M
Mousavi
mousavi.matin37@yahoo.com
true
1
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
LEAD_AUTHOR
M
Jabbari
true
2
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
AUTHOR
M.A
Kiani
true
3
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
AUTHOR
[1] Miyamoto Y., Kaysser W.A., Rabin B.H., Kaeasaki A., Ford R.G.,1999, Functionally graded materials: design, Processing and Applications, Kluwer Academic Publishers.
1
[2] Tiersten H.F., 1969, Linear Piezoelectric Plate Vibrations, Plenum Press.
2
[3] Ootao Y., Akai T., Tanigawa Y., 1995, Threedimensional transient thermal stress analysis of a nonhomogeneous hollow circular cylinder due to a moving heat source in the axial direction, Journal of Thermal Stress 18: 497512.
3
[4] Obata Y., Noda N., 1993, Transient thermal stress in a plate of functionally gradient materials, Ceramic Transactions 34: 403.
4
[5] Jabbari M., Sohrabpour S., Eslami M.R., 2003, General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steadystate loads, Journal of Applied Mechanics 70: 111118.
5
[6] Jabbari M., Sohrabpour S., Eslami M.R., 2002, Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, International Journal of Pressure Vessels and Piping 79: 493497.
6
[7] Poultangari R., Jabbari M., Eslami M.R., 2008, Functionally graded hollow spheres under nonaxisymmetric thermomechanical loads, International Journal of Pressure Vessels and Piping 85: 295305.
7
[8] He X.Q., Ng T.Y., Sivashanker S., Liew K.M., 2001, Active control of FGM plates with integrated piezoelectric sensors and actuators, International Journal of Solids and Structures 38: 16411655.
8
[9] JafariFesharaki J., JafariFesharaki V., Yazdipoor M., Razavian B., 2012, Twodimensional solution for electromechanical behavior of functionally graded piezoelectric hollow cylinder, Applied Mathematical Modeling 36: 55215533.
9
[10] Hosseini S.M., Akhlaghi M., Shakeri M., 2007, Transient heat conduction in functionally graded thick hollow cylinders by analytical method, Heat and Mass Transfer 43: 669675.
10
[11] Chu H.S., Tzou J.H., 1987, Transient response of a composite hollow cylinder heated by a moving line source, American Society of Mechanical Engineers 3: 677682.
11
[12] Jabbari M., Vaghari A.R., Bahtui A., Eslami M.R., 2008, Exact solution for asymmetric transient thermal and mechanical stresses in FGM hollow cylinders with heat source, Structural Engineering and Mechanics 29: 551565.
12
[13] Jabbari M., Mohazzab A.H., Bahtui A., 2009, Onedimensional moving heat source in a hollow FGM cylinder, Journal of Applied Mechanics 131: 1202112027.
13
[14] Ashida F., Tauchert T.R., 2001, A general planestress solution in cylindrical coordinates for a piezothermoelastic plate, International Journal of Solids and Structures 38: 49694985.
14
[15] Jabbari M., Barati A.R., 2015, Analytical solution for the thermopiezoelastic behavior of a smart functionally graded material hollow sphere under radially symmetric loadings, Journal of Pressure Vessel Technology 137(6): 061204.
15
ORIGINAL_ARTICLE
Dynamic Behavior of Anisotropic Protein Microtubules Immersed in Cytosol Via Cooper–Naghdi Thick Shell Theory
In the present research, vibrational behavior of anisotropic protein microtubules (MTs) immersed in cytosol via Cooper–Naghdi shell model is investigated. MTs are hollow cylindrical structures in the eukaryotic cytoskeleton which surrounded by filament network. The temperature effect on vibration frequency is also taken into account by assuming temperaturedependent material properties for MTs. To enhance the accuracy of results, strain gradient theory is utilized and the motion equations are derived based on Hamilton’s principle. Effects of various parameters such as environmental conditions by considering the surface traction of cytosol, length scale, thickness and aspect ratio on vibration characteristics of anisotropic MTs are studied. Results indicate that vibrational behavior of anisotropic MTs is strongly dependent on longitudinal Young’s modulus and length scale parameters. The results of this investigation can be utilized in the ultrasonic examine of MT organization in medical applications particularly in the treatment of cancers.
http://jsm.iauarak.ac.ir/article_545717_af2e1aa3c9a349a9c840635095696b69.pdf
20181230T11:23:20
20191023T11:23:20
753
765
Anisotropic protein MT
Cooper–Naghdi thick shell model
Strain gradient theory
Viscoelastic biomedium
M.R
Ghorbanpour Arani
mrezagh6193@gmail.com
true
1
Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran
Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran
Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran
LEAD_AUTHOR
Z
Khoddami Maraghi
z.khoddami@gmail.com
true
2
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
E
Haghparast
e.haghparast@grad.kashanu.ac.ir
true
3
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
[1] Cooper G.M., Hausman R.E., 2007, The Cell: A Molecular Approach, ASM Press, Washington.
1
[2] Shi Y.J., Guo W.L., Ru C.Q., 2008, Relevance of Timoshenkobeam model to microtubules of low shear modulus, Physica E 41: 213219.
2
[3] Gao Y., Lei F.M., 2009, Small scale effects on the mechanical behaviors of protein microtubules based on the nonlocal elasticity theory, Biochemical and Biophysical Research Communications 387: 467471.
3
[4] Tounsi A., Heireche H., Benhassaini H., Missouri M., 2010, Vibration and lengthdependent flexural rigidity of protein microtubules using higher order shear deformation theory, The Journal of Theoretical Biology 266: 250255.
4
[5] Fu Y., Zhang J., 2010, Modeling and analysis of microtubules based on a modified couple stress theory, Physica E 42: 17411745.
5
[6] Civalek O., Demir C., 2011, Bending analysis of microtubules using nonlocal Euler–Bernoulli beam theory, Applied Mathematical Modelling 35: 20532067.
6
[7] Demir Ç., Civalek Ö., 2013, Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models, Applied Mathematical Modelling 37: 93559367.
7
[8] Cooper R.M., Naghdi P.M., 1957, Propagation of nonaxially symmetric waves in elastic cylindrical shells, Journal of the Acoustical Society of America 29: 13651372.
8
[9] Daneshmand F., Ghavanloo E., Amabili M., 2011, Wave propagation in protein microtubules modeled as orthotropic elastic shells including transverse shear deformations, Journal of Biomechanics 44: 19601966.
9
[10] Gao Y., An L., 2010, A nonlocal elastic anisotropic shell model for microtubule buckling behaviors in cytoplasm, Physica E 42: 24062415.
10
[11] Gheshlaghi B., Hasheminejad S.M., 2011, Surface effects on nonlinear free vibration of nanobeams, Composites: Part B 42: 934937.
11
[12] Ghorbanpour Arani A., Kolahchi R., Khoddami Maraghi Z., 2013, Nonlinear vibration and instability of embedded doublewalled boron nitride nanotubes based on nonlocal cylindrical shell theory, Applied Mathematical Modelling 37: 76857707.
12
[13] Ghorbanpour Arani A., Shajari A.R., Amir S., Loghman A., 2012, Electrothermomechanical nonlinear nonlocal vibration and instability of embedded microtube reinforced by BNNT, Physica E 45: 109121.
13
[14] Ghorbanpour Arani A., Shirali A.A., Noudeh Farahani M., Amir S., Loghman A., 2012, Nonlinear vibration analysis of protein microtubules in cytosol conveying fluid based on nonlocal elasticity theory using differential quadrature method, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227: 137145.
14
[15] Gu B., Mai Y. W., Ru C. Q., 2009, Mechanics of microtubules modeled as orthotropic elastic shells with transverse shearing, Acta Mechanica 207: 195209.
15
[16] Heireche H., Tounsi A., Benhassaini H., Benzair A., Bendahmane M., Missouri M., Mokadem S., 2010, Nonlocal elasticity effect on vibration characteristics of protein microtubules, Physica E 42: 23752379.
16
[17] Karimi Zeverdejani M., Tadi Beni Y., 2013, The nano scale vibration of protein microtubules based on modified strain gradient theory, Current Applied Physics 13: 15661576.
17
[18] Liew K.M., Wang Q., 2007, Analysis of wave propagation in carbon nanotubes via elastic shell theories, International Journal of Engineering Science 45: 227241.
18
[19] Shen H.S., 2013, Nonlocal shear deformable shell model for torsional buckling and postbuckling of microtubules in thermal environments, Mechanics Research Communications 54: 83 95.
19
[20] Shu C., 2000, Differential Quadrature and its Application in Engineering, Springer, London.
20
[21] Taj M., Zhang J., 2014, Analysis of wave propagation in orthotropic microtubules embedded within elastic medium by Pasternak model, Journal of the Mechanical Behavior of Biomedical Materials 30: 300305.
21
[22] Taj M., Zhang J.Q., 2012. Analysis of vibrational behaviors of microtubules embedded within elastic medium by Pasternak model, Biochemical and Biophysical Research Communications 424: 8993.
22
[23] Wang C.Y., Li C.F., Adhikari S., 2009, Dynamic behaviors of microtubules in cytosol, Journal of Biomechanics 42: 12701274.
23
[24] Wang C.Y., Ru C.Q., Mioduchowski A., 2006, Vibration of microtubules as orthotropic elastic shells, Physica E 35: 4856.
24
[25] Wang C.Y., Zhang L.C., 2008, Circumferential vibration of microtubules with long axial wavelength, Journal of Biomechanics 41: 18921896.
25
[26] Wang L., 2010, Vibration analysis of fluidconveying nanotubes with consideration of surface effects, Physica E 43: 437439.
26
[27] Wang X., Yang W.D., Xiong J.T., 2014, Coupling effects of initial stress and scale characteristics on the dynamic behavior of bioliquidfilled microtubules immersed in cytosol, Physica E 56: 342347.
27
[28] Zhou X., Wang L., 2012, Vibration and stability of microscale cylindrical shells conveying fluid based on modified couple stress theory, Micro & Nano Letters 7: 679684.
28
ORIGINAL_ARTICLE
Estimation of Thermoelastic State of a Thermally Sensitive Functionally Graded Thick Hollow Cylinder: A Mathematical Model
The object of the present paper is to study temperature distribution and thermal stresses of a functionally graded thick hollow cylinder with temperature dependent material properties. All the material properties except Poisson’s ratio are assumed to be dependent on temperature. The nonlinear heat conduction with temperature dependent thermal conductivity and specific heat capacity is reduced to linear form by applying Kirchhoff’s variable transformation. Solution for the two dimensional heat conduction equation with internal heat source is obtained in the transient state. The influence of thermosensitivity on the thermal and mechanical behavior is examined. For theoretical treatment all physical and mechanical quantities are taken as dimensional, whereas for numerical computations we have considered nondimensional parameters. A mathematical model is constructed for both homogeneous and nonhomogeneous case. Numerical computations are carried out for ceramicmetalbased functionally graded material (FGM), in which alumina is selected as ceramic and nickel as metal. The results are illustrated graphically.
http://jsm.iauarak.ac.ir/article_545718_605f67f4cfd6308acbdfad4eca2ed342.pdf
20181230T11:23:20
20191023T11:23:20
766
778
Functionally graded hollow cylinder
Temperature distribution
Thermal stresses
Thermosensitivity
V. K
Manthena
vkmanthena@gmail.com
true
1
Department of Mathematics, Priyadarshini J.L. College of Engineering, Nagpur , India
Department of Mathematics, Priyadarshini J.L. College of Engineering, Nagpur , India
Department of Mathematics, Priyadarshini J.L. College of Engineering, Nagpur , India
LEAD_AUTHOR
N.K
Lamba
true
2
Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Nagpur, India
Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Nagpur, India
Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Nagpur, India
AUTHOR
G.D
Kedar
true
3
Department of Mathematics, RTM Nagpur University, Nagpur, India
Department of Mathematics, RTM Nagpur University, Nagpur, India
Department of Mathematics, RTM Nagpur University, Nagpur, India
AUTHOR
[1] AlHajri M., Kalla S. L., 2004, On an integral transform involving Bessel functions, Proceedings of the International Conference on Mathematics and its Applications, Kuwait.
1
[2] Awaji H., Takenaka H., Honda S., Nishikawa T., 2001, Temperature/Stress distributions in a stressrelieftype plate of functionally graded materials under thermal shock, JSME International Journal Series A Solid Mechanics and Material Engineering 44: 10591065.
2
[3] Ching H. K., Chen J. K., 2007, Thermal stress analysis of functionally graded composites with temperaturedependent material properties, Journal of Mechanics of Materials and Structures 2: 633653.
3
[4] Farid M., Zahedinejad P., Malekzadeh P., 2010, Threedimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on twoparameter elastic foundation using a hybrid semianalytic differential quadrature method, Materials & Design 31: 213.
4
[5] Hata T., 1982, Thermal stresses in a nonhomogeneous thick plate under steady distribution of temperature, Journal of Thermal Stresses 5: 111.
5
[6] Hosseini S. M., Akhlaghi M., 2009, Analytical solution in transient thermoelasticity of functionally graded thick hollow cylinders, Mathematical Methods in the Applied Sciences 32: 20192034.
6
[7] Kassir K., 1972, Boussinesq problems for nonhomogeneous solid, Proceedings of the American Society of Civil Engineers Definition, Journal of the Engineering Mechanics Division 98: 457470.
7
[8] Kumar R., Devi Sh., Sharma V., 2017, Axisymmetric problem of thick circular plate with heat sources in modified couple stress theory, Journal of Solid Mechanics 9: 157171.
8
[9] Kumar R., Manthena V.R., Lamba N.K., Kedar G.D., 2017, Generalized thermoelastic axisymmetric deformation problem in a thick circular plate with dual phase lags and two temperatures, Material Physics and Mechanics 32: 123132.
9
[10] Kushnir R. M., Protsyuk Yu., 2008, Thermal stressed state of layered thermally sensitive cylinders and spheres under the conditions of convectiveradiation heat transfer, Mathematical Modeling Inform Technology 40: 103112.
10
[11] Kushnir R. M., Popovych V.S., 2011, Heat Conduction Problems of ThermoSensitive Solids under Complex Heat Exchange, Intech.
11
[12] Lamba N.K., Walde R.T., Manthena V.R., Khobragade N.W., 2012, Stress functions in a hollow cylinder under heating and cooling Process, Journal of Statistics and Mathematics 3: 118124.
12
[13] Liew K. M., Kitipornchai S., Zhang X. Z., Lim C. W., 2003, Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders, The International Journal of Solids and Structures 40: 23552380.
13
[14] Manthena V.R., Lamba N.K., Kedar G.D., 2016, Spring backward phenomenon of a transversely isotropic functionally graded composite cylindrical shell, Journal of Applied and Computational Mechanics 2: 134143.
14
[15] Manthena V.R., Lamba N.K., Kedar G.D., 2017, Thermal stress analysis in a functionally graded hollow ellipticcylinder subjected to uniform temperature distribution, Applications and Applied Mathematics 12: 613632.
15
[16] Manthena V.R., Kedar G.D., 2017, Transient thermal stress analysis of a functionally graded thick hollow cylinder with temperature dependent material properties, Journal of Thermal Stresses 41: 568582.
16
[17] Manthena V.R., Lamba N.K., Kedar G.D., 2018, Mathematical modeling of thermoelastic state of a thick hollow cylinder with nonhomogeneous material properties, Journal of Solid Mechanics 10: 142156.
17
[18] Manthena V.R., Lamba N.K., Kedar G.D., 2018, Thermoelastic analysis of a rectangular plate with nonhomogeneous material properties and internal heat source, Journal of Solid Mechanics 10: 200215.
18
[19] Moosaie A., 2012, Steady symmetrical temperature field in a hollow spherical particle with temperaturedependent thermal conductivity, Archives of Mechanics 64: 405422.
19
[20] Moosaie A., 2015, Axisymmetric steady temperature field in FGM cylindrical shells with temperaturedependent heat conductivity and arbitrary linear boundary conditions, Archives of Mechanics 67: 233251.
20
[21] Noda N., 1991, Thermal stresses in materials with temperature dependent properties, Applied Mechanics Reviews 44: 383397.
21
[22] Peng X. L., Li X. F., 2010, Thermoelastic analysis of a cylindrical vessel of functionally graded materials, International Journal of Pressure Vessels Piping 87: 203210.
22
[23] Popovych V. S., 1990, Modeling of heat fields in thin thermosensitive plates, Modeling and Optimization of Complex Mechanical Systems 1990: 7075.
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[24] Popovych V. S., Garmatii G. Yu., 1993, Analyticnumerical methods of constructing solutions of heatconduction problems for thermosensitive bodies with convective heat transfer, Pidstrigach Institute for Applied Problems of Mechanics and Mathematics 1993: 1393.
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[25] Popovych V. S., Fedai B. N., 1997, The axisymmetric problem of thermoelasticity of a multilayer thermosensitive tube, Journal of Mathematical Sciences 86: 26052610.
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[26] Popovych V. S., Makhorkin I. M., 1998, On the solution of heatconduction problems for thermosensitive bodies, Journal of Mathematical Sciences 88: 352359.
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[27] Popovych V. S., Kalynyak B. M., 2005, Thermal stressed state of a thermally sensitive cylinder in the process of convective heating, Mathematics Metody Fiz Mekh Polya 48: 126136.
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[28] Popovych V. S., Harmatii H. Yu., Vovk O. M., 2006, Thermoelastic state of a thermosensitive space with a spherical cavity under convectiveradiant heat exchange, Mathematics Metody Fiz Mekh Polya 49: 168176.
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[29] Popovych V. S., 2014, Methods for determination of the thermostressed state of thermally sensitive solids under complex heat exchange conditions, Encyclopedia of Thermal Stresses 6: 29973008.
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[30] Popovych V. S., Kalynyak B. M., 2016, Mathematical modeling and methods for the determination of the static thermoelastic state of multilayer thermally sensitive cylinders, Journal of Mathematical Sciences 215: 218242.
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[31] Rakocha I., Popovych V. S., 2016, The mathematical modeling and investigation of the stressstrain state of the threelayer thermosensitive hollow cylinder, Acta Mechanica et Automatica 10: 181188.
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[32] Tang S., 1968, Thermal stresses in temperature dependent isotropic plates, Journal of Spacecrafts and Rockets 5: 987990.
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[33] Thawait A.K., Sondhi L., Sanyal Sh., Bhowmick Sh., 2017, Elastic analysis of functionally graded variable thickness rotating disk by element based material grading, Journal of Solid Mechanics 9: 650662.
33
[34] Tripathi J. J., Kedar G. D., Deshmukh K. C., 2017, Generalized thermoelastic problem of a thick circular plate with axisymmetric heat supply due to internal heat generation, Journal of Solid Mechanics 9: 115125.
34
ORIGINAL_ARTICLE
Influence of Temperature Change on Modal Analysis of Rotary Functionally Graded Nanobeam in Thermal Environment
The free vibration analysis of rotating functionally graded (FG) nanobeams under an inplane thermal loading is provided for the first time in this paper. The formulation used is based on EulerBernoulli beam theory through Hamilton’s principle and the small scale effect has been formulated using the Eringen elasticity theory. Then, they are solved by a generalized differential quadrature method (GDQM). It is supposed that, according to the powerlaw form (PFGM), the thermal distribution is nonlinear and material properties are dependent to temperature and are changing continuously through the thickness. Free vibration frequencies are obtained for two types of boundary conditions; cantilever and propped cantilever. The novelty of this work is related to vibration analysis of rotating FG nanobeam under different distributions of temperature with different boundary conditions using nonlocal EulerBernoulli beam theory. Presented theoretical results are validated by comparing the obtained results with literature. Numerical results are presented in both cantilever and propped cantilever nanobeams and the influences of the thermal, nonlocal smallscale, angular velocity, hub radius, FG index and higher modes number on the natural frequencies of the FG nanobeams are investigated in detail.
http://jsm.iauarak.ac.ir/article_545719_a53490ca1a23c70a7a3fa3fcf095c7e5.pdf
20181230T11:23:20
20191023T11:23:20
779
803
Rotating EulerBernoulli beam
FG Nanobeam
Eringen elasticity theory
GDQM
Thermal vibration
E
Shahabinejad
true
1
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
AUTHOR
N
Shafiei
true
2
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
AUTHOR
M
Ghadiri
ghadiri@eng.ikiu.ac.ir
true
3
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin,Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin,Iran
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin,Iran
LEAD_AUTHOR
[1] ArandaRuiz J., Loya J., FernanandezSaez J., 2012, Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory, Composite Structures 94: 29903001.
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[2] Bath J., Turberfield A. J., 2007, DNA nanomachines, Nature Nanotechnology 2: 275284.
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[5] Chen L., Nakamura M., Schindler T. D., Parker D., Bryant Z., 2012, Engineering controllable bidirectional molecular motors based on myosin, Nature Nanotechnology 7: 252256.
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[6] Civalek Ö., 2004, Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns, Engineering Structures 26: 171186.
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[7] Ebrahimi F., Barati M. R., 2017, Vibration analysis of viscoelastic inhomogeneous nanobeam s incorporating surface and thermal effects, Applied Physics A 123: 5.
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[8] Ebrahimi F., Salari E., 2015, Thermomechanical vibration analysis of nonlocal temperaturedependent FG nanobeam s with various boundary conditions, Composites Part B: Engineering, 78: 272290.
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[10] Ghadiri M., Hosseini S., Shafiei N., 2015, A power series for vibration of a rotating nanobeam with considering thermal effect, Mechanics of Advanced Materials and Structures 2015: 130.
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[11] Ghadiri M., Shafiei N., 2015, Nonlinear bending vibration of a rotating nanobeam based on nonlocal Eringen’s theory using differential quadrature method, Microsystem Technologies 2015: 115.
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[12] Ghadiri M., Shafiei N., Akbarshahi A., 2016, Influence of thermal and surface effects on vibration behavior of nonlocal rotating Timoshenko nanobeam , Applied Physics A 122: 119.
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[13] Ghadiri M., Shafiei N., Safarpour H., 2017, Influence of surface effects on vibration behavior of a rotary functionally graded nanobeam based on Eringen’s nonlocal elasticity, Microsystem Technologies 23: 10451065.
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[14] GhorbanpourArani A., Rastgoo A., Sharafi M., Kolahchi R., Arani A. G., 2016, Nonlocal viscoelasticity based vibration of double viscoelastic piezoelectric nanobeam systems, Meccanica 51: 2540.
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[15] Goel A., Vogel V., 2008, Harnessing biological motors to engineer systems for nanoscale transport and assembly, Nature Nanotechnology 3: 465475.
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[16] Hu B., Ding Y., Chen W., Kulkarni D., Shen Y., Tsukruk V. V., Wang Z. L., 2010, External‐strain induced insulating phase transition in VO2 nanobeam and its application as flexible strain sensor, Advanced Materials 22: 51345139.
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[17] Lee L. K., Ginsburg M. A., Cravace C., Donahoe M., Stock D., 2010, Structure of the torque ring of the flagellar motor and the molecular basis for rotational switching, Nature 466: 9961000.
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[18] Lu P., Lee H., Lu C., Zhang P., 2006, Dynamic properties of flexural beams using a nonlocal elasticity model, Journal of Applied Physics 99: 073510.
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[19] Lubbe A. S., Ruangsupapichat N., Caroli G., Feringa B. L., 2011, Control of rotor function in lightdriven molecular motors, The Journal of Organic Chemistry 76: 85998610.
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[20] Maraghi Z. K., Arani A. G., Kolahchi R., Amir S., Bagheri M., 2013, Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid, Composites Part B: Engineering 45: 423432.
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[22] Mirjavadi S. S., Rabby S., Shafiei N., Afshari B. M., Kazemi M., 2017, On sizedependent free vibration and thermal buckling of axially functionally graded nanobeam s in thermal environment, Applied Physics A 123: 315.
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[23] Narendar S., 2012, Differential quadrature based nonlocal flapwise bending vibration analysis of rotating nanotube with consideration of transverse shear deformation and rotary inertia, Applied Mathematics and Computation 219: 12321243.
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[24] Pradhan S., Murmu T., 2010, Application of nonlocal elasticity and DQM in the flapwise bending vibration of a rotating nanocantilever, Physica E: LowDimensional Systems and Nanostructures 42: 19441949.
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[25] Rahmani O., Pedram O., 2014, Analysis and modeling the size effect on vibration of functionally graded nanobeam s based on nonlocal Timoshenko beam theory, International Journal of Engineering Science 77: 5570.
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[26] Shu C., 2000, Differential Quadrature and Its Application in Engineering, Springer.
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[34] Xing Y., Liu B., 2009, High‐accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain, International Journal for Numerical Methods in Engineering 80: 17181742.
34
[35] Zhong H., Yue Z., 2012, Analysis of thin plates by the weak form quadrature element method, Science China Physics, Mechanics and Astronomy 55: 861871.
35
ORIGINAL_ARTICLE
Delamination of TwoDimensional Functionally Graded Multilayered NonLinear Elastic Beam  an Analytical Approach
Delamination fracture of a twodimensional functionally graded multilayered fourpoint bending beam that exhibits nonlinear behaviour of the material is analyzed. The fracture is studied analytically in terms of the strain energy release rate. The beam under consideration has an arbitrary number of layers. Each layer has individual thickness and material properties. A delamination crack is located arbitrary between layers. The material is twodimensional functionally graded in the crosssection of each layer. The beam mechanical behaviour is described by a powerlaw stressstrain relation. The fracture is analyzed also by applying the Jintegral approach in order to verify the solution derived for the strain energy release rate. The effects of crack location, material gradient and nonlinear behaviour of material on the delamination fracture are evaluated. It is found that the material nonlinearity leads to increase of the strain energy release rate. Therefore, the material nonlinearity should be taken into account in fracture mechanics based safety design of twodimensional functionally graded multilayered structural members. It is found also that the delamination behaviour can be effectively regulated by using appropriate material gradients in the design stage of functionally graded multilayered structural members and components.
http://jsm.iauarak.ac.ir/article_545720_4aa05ccc009b12f8c0bd197ee6375322.pdf
20181230T11:23:20
20191023T11:23:20
804
815
Twodimensional functionally graded material
Multilayered structure
Delamination
Material nonlinearity
Analytical approach
V
Rizov
v_rizov_fhe@uacg.bg
true
1
Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Bulgaria
Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Bulgaria
Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Bulgaria
LEAD_AUTHOR
[1] Koizumi M., 1993, The concept of FGM ceramic trans, Functionally Gradient Materials 34(2): 310.
1
[2] Suresh S., Mortensen A., 1998, Fundamentals of Functionally Graded Materials, IOM Communications Ltd, London.
2
[3] Levashov E.A., Larikin D.V., Shtansky D.V., Rogachev A.S., Grigorian H.E., Moore J.J., 2002, Selfpropagating hightemperature synthesis of functionally graded PVD targets with a ceramic working layer of TiBTiN or TiSiTin, Journal of Materials Synthesis and Processing 10(2): 319.
3
[4] Tokova L., Yasinskyy A., Ma C. C., 2016, Effect of the layer inhomogeneity on the distribution of stresses and displacements in an elastic multilayer cylinder, Acta Mechanica 228: 28652877.
4
[5] Tokovyy Y., Ma C. C., 2013, Threedimensional temperature and thermal stress analysis of an inhomogeneous layer, Journal of Thermal Stresses 36: 790 808.
5
[6] Tokovyy Y., Ma C. C., 2016, Axisymmetric stresses in an elastic radially inhomogeneous cylinder under lengthvarying loadings, ASME Journal of Applied Mechanics 83: 111007111013.
6
[7] Uslu Uysal M., Kremzer M., 2015, Buckling behaviour of short cylindrical functionally gradient polymeric materials, Acta Physica Polonica A 127: 13551357.
7
[8] Uslu Uysal M., 2016, Buckling behaviours of functionally graded polymeric thinwalled hemispherical shells, Steel and Composite Structures, An International Journal 21: 849862.
8
[9] Szekrenyes A., 2010, Fracture analysis in the modified splitcantilever beam using the classical theories of strength of materials, Journal of Physics: Conference Series 240(4): 012030.
9
[10] Szekrenyes A., 2016, Semilayerwise analysis of laminated plates with nonsingular delamination  the theorem of autocontinuity, Applied Mathematical Modelling 40(2): 13441371.
10
[11] Paulino G.C., 2002, Fracture in functionally graded materials, Engineering Fracture Mechanics 69(2): 15191530.
11
[12] Tilbrook M.T., Moon R.J., Hoffman M., 2005, Crack propagation in graded composites, Composite Science and Technology 65(2): 201220.
12
[13] Carpinteri A., Pugno N., 2006, Cracks in reentrant corners in functionally graded materials, Engineering Fracture Mechanics 73(4): 12791291.
13
[14] Upadhyay A.K., Simha K.R.Y., 2007, Equivalent homogeneous variable depth beams for cracked FGM beams; compliance approach, International Journal of Fracture 144(4): 209213.
14
[15] Zhang H., Li X.F., Tang G.J., Shen Z.B., 2013, Stress intensity factors of double cantilever nanobeams via gradient elasticity theory, Engineering Fracture Mechanics 105(4): 5864.
15
[16] Uslu Uysal M., Güven U., 2016, A bonded plate having orthotropic inclusion in adhesive layer under inplane shear loading, The Journal of Adhesion 92(2): 214235.
16
[17] Dahan I., Admon U., Sarei J., Yahav B., Amar M., Frage N., Dariel M. P., 1999, Functionally graded TiTiC multilayers: the effect of a graded profile on adhesion to substrate, Materials Science Forum 308311(3): 923929.
17
[18] Bora Y., Suphi Y., Suat K., 2008, Material coatings under thermal loading, Journal of Applied Mechanics 75(4): 051106.
18
[19] Sung Ryul Ch., Hutchinson J.W., Evans A.G., 1999, Delamination of multilayer thermal barrier coatings, Mechanics of Materials 31(3): 431447.
19
[20] Szekrenyes A., 2016, Nonsingular crack modelling in orthotropic plates by four equivalent single layers, European Journal of Mechanics – A/Solids 55: 7399.
20
[21] Petrov V.V., 2014, NonLinear Incremental Structural Mechanics, InfraInjeneria.
21
[22] Lubliner J., 2006, Plasticity Theory, University of California, Berkeley.
22
[23] Dowling N., 2007, Mechanical Behavior of Materials, Pearson.
23
[24] Hutchinson W., Suo Z., 1992, Mixed mode cracking in layered materials, Advances in Applied Mechanics 64(3): 804810.
24
[25] Broek D., 1986, Elementary Engineering Fracture Mechanics, Springer.
25
ORIGINAL_ARTICLE
Investigation of Prebuckling Stress Effect on Buckling Load Determination of Finite Rectangular Plates with Circular Cutout
This paper investigates the buckling of finite isotropic rectangular plates with circular cutout under uniaxial and biaxial loading. The complex potential method is used to calculate the prebuckling stress distribution around the cutout in the plate with finite dimensions. To satisfy the inplane boundary conditions, the generalized complexpotential functions are introduced and a new method based on the boundary integral which has been obtained from the principle of virtual work is used to apply the boundary conditions at the plate edges. The potential energy of the plate is calculated by considering the first order shear deformation theory and the Ritz method is used to calculate the buckling load. The effects of cutout size, type of loading and different boundary conditions on the buckling load are investigated. Comparing of the calculated buckling loads with the finite element results shows the accuracy of the presented method for buckling analysis of the plates.
http://jsm.iauarak.ac.ir/article_545721_83958eeb7b3da9dcce0b16d0c67f20f0.pdf
20181230T11:23:20
20191023T11:23:20
816
830
Circular cutout
Complex potential functions
Ritz method
Buckling
Finite rectangular plate
Shear deformation
S
Abolghasemi
saeedabolghasemi2003@yahoo.com
true
1
Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
LEAD_AUTHOR
H.R
Eipakchi
web2eipakchi@shahroodut.ac.ir
true
2
Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
AUTHOR
M
Shariati
mshariati44@gmail.com
true
3
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
AUTHOR
[1] Lekhnitskii S., 1968, Anisotropic Plates, Gordon and Breach Science, New York.
1
[2] Savin G. N., 1961,Stress Concentration Around Holes, Pergamon, New York.
2
[3] Sevenois R. D. B., Koussios S., 2014, Analytic methods for stress analysis of twodimensional flat anisotropic plates with notches: an overview, Applied Mechanics Reviews 66: 060802.
3
[4] Lin C. C., Ko C. C., 1988, Stress and strength analysis of finite composite laminates with elliptical holes, Journal of Composite Materials 22: 373385.
4
[5] Gao X. L., 1996, A general solution of an infinite elastic plate with an elliptic hole under biaxial loading, International Journal of Pressure Vessels and Piping 67: 95104.
5
[6] Ukadgaonker V. G., Rao D. K. N., 2000, A general solution for stresses around holes in symmetric laminates under inplane loading, Composite Structures 49: 339354.
6
[7] Xu X. W., Man H. C., Yue T. M., 2000, Strength prediction of composite laminates with multiple elliptical holes, International Journal of Solids and Structures 37: 28872900.
7
[8] Louhghalam A., Igusa T., Park C., Choi S., Kim K., 2011, Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping – Finite element approach, International Journal of Solids and Structures 48: 19912004.
8
[9] Nemeth M. P., stein M., Johnson E. R., 1986, An approximate buckling analysis for rectangular orthotropic plates with centrally located cutouts, NASA Technical Paper 1986: 118.
9
[10] Britt V. O., 1994, Shear and compression buckling analysis for anisotropic panels with elliptical cutouts, AIAA Journal 32: 22932299.
10
[11] Shakerley T. M., Brown C. J., 1996, Elastic buckling of plates with eccentrically positioned rectangular perforations, International Journal of Mechanical Sciences 38: 825838.
11
[12] ElSawy K. M., Nazmy A. S., 2001, Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes, Thin–Walled Structures 39: 983998.
12
[13] Sabir A., Chow F., 1986, Elastic buckling of plates containing eccentrically located circular holes, Thin–Walled Structures 4: 135149.
13
[14] Ghannadpour S. A. M., Najafi A., Mohammadi B., 2006, On the buckling behavior of crossply laminated composite plates due to circular/elliptical cutouts, Composite Structures 75: 36.
14
[15] Anil V., Upadhyay C. S., Iyengar N. G. R., 2007, Stability analysis of composite laminate with and without rectangular cutout under biaxial loading, Composite Structures 80: 92104.
15
[16] Moen C. D., Schafer B. W., 2009, Elastic buckling of thin plates with holes in compression or bending, Thin–Walled Structures 47: 15971607.
16
[17] Kumar D., Singh S. B., 2013, Effects of flexural boundary conditions on failure and stability of composite laminate with cutouts under combined inplane loads, Composites Part B: Engineering 45: 657665.
17
[18] Kumar D., Singh S. B., 2012, Stability and failure of composite laminates with various shaped cutouts under combined inplane loads, Composites Part B: Engineering 43: 142149.
18
[19] Kumar D., Singh S. B., 2010, Effects of boundary conditions on buckling and postbuckling responses of composite laminate with various shaped cutouts, Composite Structures 92: 769779.
19
[20] Aydin Komur M., Sonmez M., 2008, Elastic buckling of rectangular plates under linearly varying inplane normal load with a circular cutout, Mechanics Research Communications 35: 361371.
20
[21] Prajapat K., RayChaudhuri S., Kumar A., 2015, Effect of inplane boundary conditions on elastic buckling behavior of solid and perforated plates, Thin–Walled Structures 90: 171181.
21
[22] Barut A., Madenci E., 2010, A complex potentialvariational formulation for thermomechanical buckling analysis of flat laminates with an elliptic cutout, Composite Structures 92: 28712884.
22
[23] Ovesy H. R., Fazilati J., 2012, Buckling and free vibration finite strip analysis of composite plates with cutout based on two different modeling approaches, Composite Structures 94: 12501258.
23
[24] Huang C., Leissa A., 2009, Vibration analysis of rectangular plates with side cracks via the Ritz method, Journal of Sound and Vibration 323: 974988.
24
[25] Huang C., Leissa A., Chan C., 2011, Vibrations of rectangular plates with internal cracks or slits, International Journal of Mechanical Sciences 53: 436445.
25
[26] Sadd M. H., 2005, Elasticity: Theory, Applications, and Numerics, Academic Press, India.
26
[27] Reddy J. N., 2006, Theory and Analysis of Elastic Plates and Shells, CRC Press.
27
[28] Bažant Z. P., Cedolin L., 2010, Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories, World Scientific.
28
[29] Kumar Y., 2017, The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review, Journal of Vibration and Control 2017: 123.
29
[30] MorenoGarcía P., Dos Santos J. V. A., Lopes H., 2017, A review and study on Ritz Method admissible functions with emphasis on buckling and free vibration of isotropic and anisotropic beams and plates, Archives of Computational Methods in Engineering 2017: 131.
30
[31] ABAQUS, 6.11. User’s manual, Dassault Systemes, 2011.
31
ORIGINAL_ARTICLE
Inquisitive Analysis of the Point Source Effect on Propagation of SH Wave Through an Orthotropic Crustal Layer
The occurrence of SH wave propagation under the effect of a point source in an orthotropic substratum lying over a heterogeneous orthotropic half space is deliberated in the prospect of a devastating earthquake. The quadratic alteration is acknowledged for density and shear modulus which is hypothesized to be a function of depth. The method of Green's function and transformation technique contributes to obtain the dispersion equation and dispersion curves. An effort has been accomplished to demonstrate the classical equation of Love wave followed from dispersion equation. “Mathematica” software is applied to depict the graphics. Graphics are designed to show the effect of heterogeneous parameters corresponding to density and shear modulus. Dispersion equation is obtained considering the case that the displacement and stress are continuous at the interface. The present work is an attempt to express the behavior of SH wave in an orthotropic medium under the effect of point source.
http://jsm.iauarak.ac.ir/article_545722_54002f09841488d3419965b12edcf205.pdf
20181230T11:23:20
20191023T11:23:20
831
844
Orthotropic
SH wave
Green's function
Transformation technique
Point source
S
Gupta
shishir_ism@yahoo.com
true
1
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
AUTHOR
S
Pramanik
snehamoy.pramanik@gmail.com
true
2
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
LEAD_AUTHOR

Smita
true
3
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
AUTHOR
A
Pramanik
true
4
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
Department of Applied Mathematics, IIT(ISM) Dhanbad, India
AUTHOR
[1] Biot M.A., 1956, Mechanics of Incremental Deformation, Wiley, New York.
1
[2] Bullen K.E., 1940, The problem of the earth density variation, Bulletin of Seismological Society of America 30(3): 235250.
2
[3] Chattopadhyay A., Singh A.K., 2011, Effect of point source and heterogeneity on the propagation of magnetoelastic elastic wave in a monoclinic medium, International Journal of Engineering Science and Technology 3(2): 6883.
3
[4] Chattopadhyay A., Gupta S., Kumari P., Sharma V.K., 2012, Effect of point source and heterogeneity on the propagation of SH waves in a viscoelastic layer over a viscoelastic half space, Acta Geophysica 6(1): 112139.
4
[5] Covert E.D., 1958, Approximate calculation of Green's function for built up bodies, Journal of Mathematical Physics 37(14): 5865.
5
[6] Colquitt D.J., Columbi A., Craster R.V., Roux P., Guennear, S.R.L., 2017, Seismic manufactures: Sub wavelength resonators and Rayleigh wave interaction, Journal of the Mechanics and Physics of Solids 99: 379393.
6
[7] Dinckal C., On the mechanical and elastic properties of anisotropic engineering materials based upon harmonic representation, Proceedings of the World Congress on Engineering, London, U.K.
7
[8] Deresiewich H., 1962, A note on Love wave in a homogeneous crust overlying an inhomogeneous substratum, Bulletin of Seismological Society of America 52(3): 639645.
8
[9] Ewing M., Jardetzsky W.S., Press F., 1957, Elastic Waves in Layered Media, MC Graw Hill, New York.
9
[10] Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge, UK.
10
[11] Kakar R., 2015, Dispersion of love wave in an isotropic layer sandwiched between an orthotropic and prestressed inhomogeneous half spaces, Latin American Journal of Solids and Structures 12(10): 19341949.
11
[12] Kundu S., Gupta S., Vaishnav P.K., Manna S., 2016, Propagation of love waves in a heterogeneous medium over an inhomogeneous half space under the effect of point source, Journal of Vibration and Control 22(5): 112.
12
[13] Kundu S., Gupta S., Manna S., 2014, SH type waves dispersion in an isotropic medium sandwiched between an initially stressed orthotropic and heterogeneous semi infinite media, Meccanica 49(3): 749758.
13
[14] Mavco G., Conceptual overview of Rock and fluid factors that impact seismic velocity and impedance, Standard Rock Physics Laboratory.
14
[15] Sevostianov I., Kachanov M., 2008, On approximate symmetries of the elastic properties and elliptic orthotropy, International Journal of Engineering Science 46(3): 211223.
15
[16] Vlaar N.J., 1966, The field from an SH point source in a continuously layered inhomogeneous half space, Bulletin of the Seismological Society of America 56(6): 13051315.
16
[17] Vaishnav P.K., 2017, Torsional surface wave propagation in anisotropic layer sandwiched between heterogeneous half space, Journal of Solid Mechanics 9(1): 213224.
17
[18] Vavryčuk V., 2008, Velocity, attenuation and quality factor in anisotropic viscoelastic media: A perturbation approach, Geophysics 73(5): 6373.
18
[19] Watanabe K., Payton R.G., 2002, Green's function for SH wave in a cylindrically monoclinic material, Journal of Mechanics Physics of Solids 50(11): 24252439.
19
ORIGINAL_ARTICLE
NonAxisymmetric TimeDependent Creep Analysis in a ThickWalled Cylinder Due to the Thermomechanical loading
In this study, the nonlinear creep behaviour of a thickwalled cylinder made of stainless steel 316 is investigated using a semianalytical method. The thickwalled cylinder is under a uniform internal pressure and a nonaxisymmetric thermal field as a function of the radial and circumferential coordinates. For the high temperature and stress levels, creep phenomena play a major role in stress redistributions across the cylinder thickness. The BaileyNorton creep constitutive equation is used to model the uniaxial creep behaviour of the material. Creep strain increments are accumulated incrementally during the life of the vessel. Creep strain increments are related to the current stresses and the material uniaxial creep model by the wellknown PrandtlReuss relations. Considering the mentioned nonaxisymmetric boundary conditions, the heat conduction equation and the Navier partial differential equations has been solved using the separation of variables and the complex Fourier series methods. The corresponding displacement, strain and stress functions are obtained. Considering the nonaxisymmetric loadings, the distribution of the radial, circumferential and shear stresses are studied. Furthermore, the effects of internal pressure and external temperature distribution on the effective stress history are investigated. It has been found that the nonaxisymmetric thermal loading has a significant effect on stress redistributions.
http://jsm.iauarak.ac.ir/article_545724_b4c3d3b091c2e52cc8bb01b76ac84e61.pdf
20181230T11:23:20
20191023T11:23:20
845
863
Timedependent creep
Thickwalled cylinder
Stainless Steel 316
Thermal and mechanical loads
Nonaxisymmetric loading
M
Moradi
true
1
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
A
Loghman
aloghman@kashanu.ac.ir
true
2
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
LEAD_AUTHOR
Loghman A., Shokouhi N., 2009, Creep damage evaluation of thickwalled spheres using a longterm creep constitutive model, Journal of Mechanical Science and Technology 23(10): 25772582.
1
[2] Moon H., Kim K.M., Jeon Y.H., Shin S., Park J.S., Cho H.H., 2014, Effect of thermal stress on creep lifetime for a gas turbine combustion liner, Engineering Failure Analysis 47(1): 3440.
2
[3] Zhu S.P., Huang H.Z., He L.P., Liu Y., Wang Z., 2012, A generalized energybased fatigue–creep damage parameter for life prediction of turbine disk alloys, Engineering Fracture Mechanics 90(1): 89100.
3
[4] Wang W., Buhl P., Klenk A., 2015, A unified viscoplastic constitutive model with damage for multiaxial creep–fatigue loading, International Journal of Damage Mechanics 24(3): 363382.
4
[5] Roy N., Das A., Ray A., 2015, Simulation and quantification of creep damage, International Journal of Damage Mechanics 24(7): 10861106.
5
[6] Kobelev V., 2014, Some basic solutions for nonlinear creep, International Journal of Solids and Structures 51(19): 33723381.
6
[7] Nejad M.Z., Kashkoli M.D., 2014, Timedependent thermocreep analysis of rotating FGM thickwalled cylindrical pressure vessels under heat flux, International Journal of Engineering Science 82(1): 222237.
7
[8] Kashkoli M.D., Nejad M.Z., 2015, Timedependent thermoelastic creep analysis of thickwalled spherical pressure vessels made of functionally graded materials, Journal of Theoretical and Applied Mechanics 53(4): 10531065.
8
[9] Loghman A., Azami M., 2016, A novel analyticalnumerical solution for nonlinear timedependent electrothermomechanical creep behavior of rotating disk made of piezoelectric polymer, Applied Mathematical Modelling 40(7): 47954811.
9
[10] Chen Y., Lin X., 2008, Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials, Computational Materials Science 44(2): 581587.
10
[11] Dai H., Fu Y., 2007, Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads, International Journal of Pressure Vessels and Piping 84(3): 132138.
11
[12] Tarn J.Q., 2001, Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads, International Journal of Solids and Structures 38(46): 81898206.
12
[13] Jabbari M., Sohrabpour S., Eslami M., 2003, General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steadystate loads, Journal of Applied Mechanics 70(1): 111118.
13
[14] Shao Z., Ang K., Reddy J., Wang T., 2008, Nonaxisymmetric thermomechanical analysis of functionally graded hollow cylinders, Journal of Thermal Stresses 31(6): 515536.
14
[15] Ootao Y., Ishihara M., 2013, Asymmetric transient thermal stress of a functionally graded hollow cylinder with piecewise power law, Structural Engineering & Mechanics 47(3): 421442.
15
[16] Loghman A., Nasr M., Arefi M., 2017, Nonsymmetric thermomechanical analysis of a functionally graded cylinder subjected to mechanical, thermal, and magnetic loads, Journal of Thermal Stresses 40(6): 765782.
16
[17] Meshkini M., Firoozbakhsh K., Jabbari M., SelkGhafari A., 2017, Asymmetric mechanical and thermal stresses in 2DFGPPMs hollow cylinder, Journal of Thermal Stresses 40(4): 448469.
17
[18] Kashkoli M.D., Tahan K.N., Nejad M.Z., 2017, Timedependent thermomechanical creep behavior of FGM thick hollow cylindrical shells under nonuniform internal pressure, Journal of Applied Mechanics 9(6): 1750086.
18
[19] Sreenivasan P.R., 2013, Hot tensile data and creep properties derived therefrom for 316L(N) stainless steel with various nitrogen contents, Procedia Engineering 55(1): 8287.
19
[20] Kim B.J., 2013, Small punch creep behavior and nondestructive evaluation of long term aged AISI 316L stainless steel, International Journal of Precision Engineering and Manufacturing 14(7): 12671270.
20
[21] Guo J., Shi H., Meng W., 2013, Prediction methodology of creep performance from stress relaxation measurements, Applied Mechanics and Materials 401(1): 920923.
21
[22] Loghman A., Moradi M., 2013, The analysis of timedependent creep in FGPM thick walled sphere under electromagnetothermomechanical loadings, Mechanics of TimeDependent Materials 17(3): 315329.
22
[23] Loghman A., Aleayoub S.M.A., Sadi M.H., 2011, Timedependent magnetothermoelastic creep modeling of FGM spheres using method of successive elastic solution, Applied Mathematical Modelling 36(2): 836845.
23
[24] Loghman A., Ghorbanpour Arani A., Amir S., Vajedi A., 2010, Magnetothermoelastic creep analysis of functionally graded cylinders, International Journal of Pressure Vessels and Piping 87(7): 389395.
24
[25] Ganesan V., Mathew M.D., Rao K.B.S., 2009, Influence of nitrogen on tensile properties of 316LN SS, Journal of Materials Science and Technology 25(5): 614618.
25
[26] Jiang W., Zhang Y., Woo W., 2012, Using heat sink technology to decrease residual stress in 316L stainless steel welding joint: Finite element simulation, International Journal of Pressure Vessels and Piping 92(1): 5662.
26
[27] Penny R.K., Marriott D.L., 2012, Design for Creep, Springer Science & Business Media, New York.
27
[28] Incropera F.P., De Witt D.P., 1985, Fundamentals of Heat and Mass Transfer, John Wiley and Sons Inc, New York.
28
[29] Kumar J.G., Ganesan V., Laha K., Mathew M.D., 2013, Time dependent design curves for a high nitrogen grade of 316LN stainless steel for fast reactor applications, Nuclear Engineering and Design 265(1): 949956.
29
ORIGINAL_ARTICLE
Effect of the Interparticle Interactions on AdsorptionInduced Frequency Shift of NanobeamBased Nanoscale MassSensors: A Theoretical Study
It is wellknown that the Interparticle interactions between adsorbates and surface of an adsorbent can affect the surface morphology. One of the consequences of this issue is that the resonant frequency of a nanoscale resonator can be changed due to adsorption. In this study we have chosen a cantileverbased nanoscale masssensor with a single nanoparticle at its tip. Using the classical continuum mechanics and the EulerBernoulli beam theory we have derived the governing equation of free vibration of the proposed sensor. By the assumption of physisorption, the weak van der Waals forces between the attached nanoparticle and the upper surface atoms have been taken into account. Effect of this interparticle interaction on the frequency response of the mass sensor is examined. Accordingly, the classical equation of motion has been modified by an additional termon the dynamics behavior of the sensor with a variable coefficient. It has been shown that the effect of this additional term is the same as that of an elastic foundation with variable modulus. Numerical results have shown that this additional term has significant effect on the frequency shift of a nanoscale masssensor in such a way that by approaching the nanoparticle towards the sensor, the frequency shift of the sensor will increase significantly. The smaller is the nanoparticle, the higher is the frequency shift.
http://jsm.iauarak.ac.ir/article_545725_5a507543da20d1e7119facbe0e59f1d5.pdf
20181230T11:23:20
20191023T11:23:20
864
873
Nanoscale masssensors
Nanobeam resonators
Nanocantilever resonators
Physisorption effects
EulerBernoulli beam theory
K
Rajabi
rajabi.kaveh@gmail.com
true
1
Department of Mechanical Engineering, College of Engineering, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
Department of Mechanical Engineering, College of Engineering, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
Department of Mechanical Engineering, College of Engineering, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
LEAD_AUTHOR
Sh
HosseiniHashemi
true
2
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
AUTHOR
[1] Irudayarar J.M., 2012, Biomedical Nanosensors, CRC Press.
1
[2] Fraden J., 2004, Handbook of Modern Sensors: Physics, Designs, and Applications, Springer Science & Business Media.
2
[3] Zhang Y., 2013, Determining the adsorptioninduced surface stress and mass by measuring the shifts of resonant frequencies, Sensors and Actuators A: Physical 194: 169175.
3
[4] Mehdipour I., Barari A., Domairry G., 2011, Application of a cantilevered SWCNT with mass at the tip as a nanomechanical sensor, Computational Materials Science 50(6): 18301833.
4
[5] Hwang D.G., 2016, Labelfree detection of prostate specific antigen (PSA) using a bridgeshaped PZT resonator, Microsystem Technologies 23(5).
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[6] Bouchaala A., Nayfeh A.H., Younis M.I., 2016, Frequency shifts of micro and nano cantilever beam resonators due to added masses, Journal of Dynamic Systems, Measurement, and Control 138(9): 091002.
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[7] Mehdipour I., Barari A., 2012, Why the centerpoint of bridged carbon nanotube length is the most mass sensitive location for mass attachment? Computational Materials Science 55: 136141.
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[8] Mehdipour I., ErfaniMoghadam A., Mehdipour C., 2013, Application of an electrostatically actuated cantilevered carbon nanotube with an attached mass as a biomass sensor, Current Applied Physics 13: 14631469.
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[9] Kiani K., 2014, Magnetically affected singlewalled carbon nanotubes as nanosensors, Mechanics Research Communications 60: 3339.
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[10] Kiani K., 2015, Nanomechanical sensors based on elastically supported doublewalled carbon nanotubes, Applied Mathematics and Computation 270: 216241.
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[11] Heinrich S.M., Dufour I., 2015, Toward higherorder mass detection_influence of an adsorbate's rotational inertia and eccentricity on the resonant response of a bernoullieuler cantilever beam, Sensors 15: 2920929232.
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[12] Gheshlaghi B., Hasheminejad S.M., 2011, Adsorptioninduced resonance frequency shifts in Timoshenko microbeams, Current Applied Physics 11(4): 10351041.
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[18] Baowan D., 2017, Modelling and Mechanics of Carbonbased Nanostructured Materials, William Andrew.
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[19] Bahrami M., Hatami S., 2016, Free and forced transverse vibration analysis of moderately thick orthotropic plates using spectral finite element method, Journal of Solid Mechanics 8(4): 895915.
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[20] Shu C., 2012, Differential Quadrature and its Application in Engineering, Springer Science & Business Media.
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[21] Goodarzi M., 2016, Thermomechanical vibration analysis of FG circular and annular nanoplate based on the viscopasternak foundation, Journal of Solid Mechanics 8(4): 788805.
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[22] Torabi K., Afshari H., 2016, Generalized differential quadrature method for vibration analysis of cantilever trapezoidal FG thick plate, Journal of Solid Mechanics 8(1): 184203.
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[23] Rajabi K., HosseiniHashemi S., 2017, A new nanoscale mass sensor based on a bilayer graphene nanoribbon: The effect of interlayer shear on frequencies shift, Computational Materials Science 126: 468473.
23
ORIGINAL_ARTICLE
Free Axisymmetric Bending Vibration Analysis of two Directional FGM Circular Nanoplate on the Elastic Foundation
In the following paper, free vibration analysis of two directional FGM circular nanoplate on the elastic medium is investigated. The elastic modulus of plate varies in both radial and thickness directions. Eringen’s theory was employed to the analysis of circular nanoplate with variation in material properties. Simultaneous variations of the material properties in the radial and transverse directions are described by a general function. Ritz functions were utilized to obtain the frequency equations for simply supported and clamped boundary. Differential transform method also used to develop a semianalytical solution the sizedependent natural frequencies of nonhomogenous nanoplates. Both methods reported good results. The validity of solutions was performed by comparing present results with themselves and those of the literature for both classical plate and nanoplate. Effect of nonhomogeneity on the nonlocal parameter, geometries, boundary conditions and elastic foundation parameters is examined the paper treats some interesting problems, for the first time.
http://jsm.iauarak.ac.ir/article_545726_ffbad6cc73d1da6f9b7e9d2a061f019a.pdf
20181230T11:23:20
20191023T11:23:20
874
893
Eringen’s theory
Free vibration
FGM nanoplate
Ritz method
Differential transform method
M
Zarei
mehdi.zarei@modares.ac.ir
true
1
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
LEAD_AUTHOR
Gh
Rahimi
true
2
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
AUTHOR
Sari M.S., AlKouz W.G., 2016, Vibration analysis of nonuniform orthotropic Kirchhoff plates resting on elastic foundation based on nonlocal elasticity theory, International Journal of Mechanical Sciences 114: 111.
1
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2
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3
[4] Murmu T., Pradhan S.C., 2009, Vibration analysis of nanosinglelayered graphene sheets embedded in elastic medium based on nonlocal elasticity theory, Journal of Applied Physics 105: 64319.
4
[5] Arash B., Wang Q., 2014, A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes, Modeling of Carbon Nanotubes, Graphene and their Composites 2014: 5782.
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[9] Ramezani S., 2012, A micro scale geometrically nonlinear Timoshenko beam model based on strain gradient elasticity theory, International Journal of NonLinear Mechanics 47: 863873.
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[10] Alibeigloo A., 2011, Free vibration analysis of nanoplate using threedimensional theory of elasticity, Acta Mechanica 222: 149.
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[11] Şimşek M.,2010, Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory, International Journal of Engineering Science 48: 17211732.
11
[12] Sahmani S., Ansari R., Gholami R., Darvizeh A., 2013, Dynamic stability analysis of functionally graded higherorder shear deformable microshells based on the modified couple stress elasticity theory, Composites Part B: Engineering 51: 4453.
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[16] Peddieson J., Buchanan G.R., McNitt R.P., 2003, Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science 41: 305312.
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[17] Lu P., Lee H.P., Lu C., Zhang P.Q., 2007, Application of nonlocal beam models for carbon nanotubes, International Journal of Solids and Structures 44: 52895300.
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[18] Rahmani O., Pedram O., 2014, Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory, International Journal of Engineering Science 77: 5570.
18
[19] Şimşek M., 2016, Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach, International Journal of Engineering Science 105: 1227.
19
[20] HosseiniHashemi S., Bedroud M., Nazemnezhad R., 2013, An exact analytical solution for free vibration of functionally graded circular/annular Mindlin nanoplate s via nonlocal elasticity, Composite Structures 103: 108118.
20
[21] Belkorissat I., Houari M.S.A., Tounsi A., Bedia E.A.A., Mahmoud S.R., 2015, On vibration properties of functionally graded nanoplate using a new nonlocal refined four variable model, Steel and Composite Structures 18: 10631081.
21
[22] Şimşek M., Yurtcu H.H., 2013, Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory, Composite Structures 97: 378386.
22
[23] Murmu T., Pradhan S.C., 2009, Buckling analysis of a singlewalled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM, Physica E: LowDimensional Systems and Nanostructures 41: 12321239.
23
[24] Aksencer T., Aydogdu M., 2011, Levy type solution method for vibration and buckling of nanoplate s using nonlocal elasticity theory, Physica E: LowDimensional Systems and Nanostructures 43: 954959.
24
[25] Narendar S., 2011, Buckling analysis of micro/nanoscale plates based on twovariable refined plate theory incorporating nonlocal scale effects, Composite Structures 93: 30933103.
25
[26] Farajpour A., Mohammadi M., Shahidi A.R., Mahzoon M., 2011, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E: LowDimensional Systems and Nanostructures 43: 18201825.
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[27] Tornabene F., Fantuzzi N., Bacciocchi M., 2016, The local GDQ method for the natural frequencies of doublycurved shells with variable thickness: A general formulation, Composites Part B: Engineering 92: 265289.
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[28] Farajpour A., Shahidi A.R., Mohammadi M., Mahzoon M.,2012, Buckling of orthotropic micro/nanoscale plates under linearly varying inplane load via nonlocal continuum mechanics, Composite Structures 94: 16051615.
28
[29] Farajpour A., Danesh M., Mohammadi M., 2011, Buckling analysis of variable thickness nanoplate s using nonlocal continuum mechanics, Physica E: LowDimensional Systems and Nanostructures 44: 719727.
29
[30] Danesh M., Farajpour A., Mohammadi M., 2012, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications 39: 2327.
30
[31] Şimşek M., 2012, Nonlocal effects in the free longitudinal vibration of axially functionally graded tapered nanorods, Computational Materials Science 61: 257265.
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[32] Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, Journal of Sound and Vibration 299: 720738.
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[33] Zhou J.K., 1986, Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China.
33
[34] Arikoglu A., Ozkol I., 2010, Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method, Composite Structures 92: 30313039.
34
[35] Mohammadi M., Farajpour A., Goodarzi M., Shehni nezhad pour H., 2014, Numerical study of the effect of shear inplane load on the vibration analysis of graphene sheet embedded in an elastic medium, Computational Materials Science 82: 510520.
35
[36] Pradhan S.C., Phadikar J.K., 2009, Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models, Physics Letters A 373: 10621069.
36
[37] Behfar K., Naghdabadi R., 2005, Nanoscale vibrational analysis of a multilayered graphene sheet embedded in an elastic medium, Composites Science and Technology 65: 11591164.
37
[38] Mirzabeigy A., 2013, Semianalytical approach for free vibration analysis of variable crosssection beams resting on elastic foundation and under axial force, International Journal of Engineering  Transactions C: Aspects 27: 385.
38
[39] Mohammadi M., Goodarzi M., Ghayour M., Farajpour A., 2013, Influence of inplane preload on the vibration frequency of circular graphene sheet via nonlocal continuum theory, Composites Part B: Engineering 51: 121129.
39
[40] Alipour M.M., Shariyat M., Shaban M., 2010, A semianalytical solution for free vibration and modal stress analyses of circular plates resting on twoparameter elastic foundations, Journal of Solid Mechanics 2(1): 6378.
40
[41] Shariyat M., Jafari A.A., Alipour M.M., 2013, Investigation of the thickness variability and material heterogeneity effects on free vibration of the viscoelastic circular plates, Acta Mechanica Solida Sinica 26(1): 8398.
41
[42] Alipour M.M., Shariyat M., Shaban M., 2010, A semianalytical solution for free vibration of variable thickness twodirectionalfunctionally graded plates on elastic foundations, International Journal of Mechanics and Materials in Design 6(4): 293304.
42
[43] Alipour M.M., Shariyat M., 2010, Stress analysis of twodirectional FGM moderately thick constrained circular plates with nonuniform load and substrate stiffness distributions, Journal of Solid Mechanics 2(4): 316331.
43
[44] Alipour M.M., Shariyat M., 2011, A power series solution for free vibration of variable thickness Mindlin circular plates with twodirectional material heterogeneity and elastic foundations, Journal of Solid Mechanics 3(2): 183197.
44
[45] Shariyat M., Alipour M.M., 2013, A power series solution for vibration and complex modal stress analyses of variable thickness viscoelastic twodirectional FGM circular plates on elastic foundations, Applied Mathematical Modelling 37(5): 30633076.
45
[46] Alipour M.M., Shariyat M.,2013, Semianalytical solution for buckling analysis of variable thickness twodirectional functionally graded circular plates with nonuniform elastic foundations, ASCE Journal of Engineering Mechanics 139(5): 664676.
46
[47] Shariyat M., Alipour M.M., 2012, A zigzag theory with local shear correction factors for semianalytical bending modal analysis of functionally graded viscoelastic circular sandwich plates, Journal of Solid Mechanics 4(1): 84105.
47
[48] Neha A., Roshan L., 2015, Buckling and vibration of functionally graded circular plates resting on elastic foundation, Mathematical Analysis and its Applications 2015: 545555.
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[49] Zarei M., GhalamiChoobari M., Rahimi G.H., Faghani G.R., 2018, Axisymmetric free vibration anlysis of nonuniform circular nanoplate resting on elastic medium, Journal of Solid Mechanics 10(2): 400415.
49
[50] Anjomshoa A., 2013, Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nanoplates based on nonlocal elasticity theory, Meccanica 48: 13371353.
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[51] Singh B., Saxena V., 1995, Axisymmetric vibration of a circular plate with double linear variable thickness, Journal of Sound and Vibration 179: 879897.
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[52] Liew K.M., He X.Q., Kitipornchai S., 2006, Predicting nanovibration of multilayered graphene sheets embedded in an elastic matrix, Acta Materialia 54: 42294236.
52
[53] Mohammadi M., Ghayour M., Farajpour A., 2013, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composites Part B: Engineering 45: 3242.
53
[54] Shariyat M., Alipour M.M., 2011, Differential transform vibration and modal stress analyses of circular plates made of twodirectional functionally graded materials resting on elastic foundations, Archive of Applied Mechanics 81(9): 12891306.
54
ORIGINAL_ARTICLE
An Enhanced Viscoplastic Constitutive Model for SemiSolid Materials to Analyze Shear Localization
Semisolid materials undergo strain localization and shear band formation as a result of granular nature of semisolid deformation. In the present study, to analyze the shear localization, a unified viscoplastic constitutive model was developed for the homogeneous flow. Then, a linearized analysis of the stability performed by examining the necessary condition for the perturbation growth. For this purpose, a shear layer model was considered to analyze the perturbation growth and subsequent instability. The perturbation analysis revealed that the failure mode in semisolid materials is diffused with long wave length regime, rather than to be localized and exhibiting short wave length regime. Moreover, decreasing the solid skeleton has a retarding effect on the perturbation growth and localization at low and modest strain rates. The performed analysis showed that the localization analysis results in a new interpretation for the micromechanisms of the semisolid deformation. The constitutive model was fairly well correlated with the experimental results.
http://jsm.iauarak.ac.ir/article_545727_16f4e37532d54d650f5a0faba3d702d4.pdf
20181230T11:23:20
20191023T11:23:20
894
901
Viscoplastic model
Shear band
Perturbation growth
Dilatancy
SemiSolid
M.H
SheikhAnsari
true
1
Faculty of Materials Science and Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Materials Science and Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Materials Science and Engineering, K.N. Toosi University of Technology, Tehran, Iran
AUTHOR
M
AghaieKhafri
maghaei@kntu.ac.ir
true
2
Faculty of Materials Science and Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Materials Science and Engineering, K.N. Toosi University of Technology, Tehran, Iran
Faculty of Materials Science and Engineering, K.N. Toosi University of Technology, Tehran, Iran
LEAD_AUTHOR
[1] Kang C.G., Choi J.S., Kim K.H., 1999, The effect of strain rate on macroscopic behaviour in the compression forming of semisolid aluminium alloy, Journal of Materials Processing Technology 88: 159168.
1
[2] Atkinson H.V., 2005, Modelling the semisolid processing of metallic alloys, Progress in Materials Science 50: 341412.
2
[3] Koeune R., Ponthot J.P., 2008, A onephase thermomechanical constitutive model for the numerical simulation of semisolid thixoforming, International Journal of Material Forming 1: 10071010.
3
[4] Bayoumi M.A., Negm M.I., ElGohry A.M., 2009, Microstructure and mechanical properties of extruded Al–Si alloy (A356) in the semisolid state, Materials & Design 30: 44694477.
4
[5] Favier V., Atkinson H.V., 2011, Micromechanical modelling of the elastic–viscoplastic response of metallic alloys under rapid compression in the semisolid state, Acta Materialia 59: 12711280.
5
[6] Gourlay C.M., Dahle A.K., 2007, Dilatant shear bands in solidifying metals, Nature 445: 7073.
6
[7] Gourlay C.M., Dahle A.K., Nagira T., Nakatsuka N., Nogita K., Uesugi K., 2011, Granular deformation mechanisms in semisolid alloys, Acta Materialia 59: 49334943.
7
[8] Fonseca J., O’Sullivan C., Nagira T., Yasuda H., Gourlay C.M., 2013, In situ study of granular micromechanics in semisolid carbon steels, Acta Materialia 61: 41694179.
8
[9] Kareh K.M., O’Sullivan C., Nagira T., Yasuda H., Gourlay C.M., 2017, Dilatancy in semisolid steels at high solid fraction, Acta Materialia 125: 187195.
9
[10] Meylan B., Terzi S., Gourlay C.M., Suéry M., Dahle A.K., 2010, Development of shear bands during deformation of partially solid alloys, Scripta Materialia 63: 11851188.
10
[11] Montassar S., Buhan P., 2006, Some general results on the stability and flow failure of rigid viscoplastic structures, Mechanics Research Communications 33: 6371.
11
[12] Hu X.G., Zhu Q., Atkinson H.V., Lu H.X., Zhang F., Dong H.B., 2017, A timedependent power law viscosity model and its application in modelling semisolid die casting of 319s alloy, Acta Materialia 124: 410420.
12
[13] Rudnicki J.W., Rice J.R.,1975, Conditions for the localization of deformation in pressuresensitive dilatant materials, Journal of the Mechanics and Physics of Solids 23: 371394.
13
[14] Vardoulakis I., 1977, Sensitivity analysis of the shear band bifurcation solution in the biaxial test on sand samples, Mechanics Research Communications 4: 171177.
14
[15] Bai Y.L., 1982, Thermoplastic instability in simple shear, Journal of the Mechanics and Physics of Solids 30: 195207.
15
[16] Anand L., 1987, Onset of shear localization in viscoplastic solids, Journal of the Mechanics and Physics of Solids 35: 407429.
16
[17] Desoyer T., Hanus J.L., Keryvin V., 1998, An instability condition of the deformation process in elasto(visco)nonlinear materials, Mechanics Research Communications 25: 437442.
17
[18] AghaieKhafri M., Mahmudi R., 2005, The effect of preheating on the formability of an Al–Fe–Si alloy sheet, Journal of Material Processing and Technology 169: 3843.
18
[19] AghaieKhafri M., Mahmudi R., 2005, Optimizing homogenization parameters for better stretch formability in an AlMnMg alloy sheet, Materials Science and Engineering A 399: 173180.
19
[20] SheikhAnsari M.H., AghaieKhafri M., 2017, Predicting flow localization in semisolid deformation, International Journal of Material Forming 11: 165173.
20
[21] Terzaghi K.V., 1936, The shearing resistance of saturated soils, Proc 1st ICSMFE 1: 5456.
21
[22] Nguyen T.G., Favier D., Suery M., 1994, Theoretical and experimental study of the isothermal mechanical behaviour of alloys in the semisolid state, International Journal of Plasticity 10: 663693.
22
[23] Martin C.L., Brown S.B., Favier D., Suéry M., 1995, Shear deformation of high solid fraction (>0.60) semisolid SnPb under various structures, Materials Science and Engineering: A 202: 112122.
23
ORIGINAL_ARTICLE
Extended Finite Element Method for Statics and Vibration Analyses on Cracked Bars and Beams
In this paper, the extended finite element method (XFEM) is employed to investigate the statics and vibration problems of cracked isotropic bars and beams. Three kinds of elements namely the standard, the blended and the enriched elements are utilized to discretize the structure and model cracks. Two techniques referred as the increase of the number of Gauss integration points and the rectangle subgrid are applied to refine the integration within the blended and enriched elements of the beam in which the priority of the developed rectangle subgrid technique is identified. The stiffness and the mass matrices of the beam are extended by considering the Heaviside and the crack tip functions. In a plane stress analysis, the effects of various crack positions and depths, different boundary conditions and other geometric parameters on the displacement and the stress contours are detected. Moreover, in a free vibration analysis, changes of the natural frequencies and the mode shapes due to the aforementioned effects are determined.
http://jsm.iauarak.ac.ir/article_545728_26368fe6ea9834e16fb29b4bc7d1b018.pdf
20181230T11:23:20
20191023T11:23:20
902
928
Extended finite element method
Statics and vibration
Cracked bars and beams
Increasing Gauss integration points
Rectangle subgrid
F
Mottaghian
true
1
Department of Mechanical Engineering, University of Guilan, Rasht, Iran
Department of Mechanical Engineering, University of Guilan, Rasht, Iran
Department of Mechanical Engineering, University of Guilan, Rasht, Iran
AUTHOR
A
Darvizeh
true
2
Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
AUTHOR
A
Alijani
alijani@iaubanz.ac.ir
true
3
Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
LEAD_AUTHOR
[1] Wriggers P., 2008, Nonlinear Finite Element Methods, Springer Science & Business Media.
1
[2] Reddy J. N., 2014, An Introduction to Nonlinear Finite Element Analysis: with Applications to Heat Transfer, Fluid Mechanics, and Solid Mechanics, OUP Oxford.
2
[3] Logan D. L., 2011, A First Course in the Finite Element Method, Cengage Learning.
3
[4] Leissa A. W., Qatu M. S., 2011, Vibrations of Continuous Systems, McGrawHill.
4
[5] Rao S. S., Yap F. F., 2011, Mechanical Vibrations, Prentice Hall Upper Saddle River.
5
[6] Cook R. D., 1994, Finite Element Modeling for Stress Analysis, Wiley.
6
[7] Kahya V., Turan M., 2017, Finite element model for vibration and buckling of functionally graded beams based on the firstorder shear deformation theory, Composites Part B: Engineering 109: 108115.
7
[8] Darvizeh M. Darvizeh A., Ansari R., Alijani A., 2015, Preand postbuckling analysis of functionally graded beams subjected to statically mechanical and thermal loads, Scientia Iranica, Transaction B, Mechanical Engineering 22: 778791.
8
[9] Alijani A., Darvizeh M., Darvizeh A., Ansari R., 2015, Elastoplastic preand postbuckling analysis of functionally graded beams under mechanical loading, Proceedings of the Institution of Mechanical Engineers, Journal of Materials Design and Applications 229: 146165.
9
[10] Mohammadi S., 2008, Extended Finite Element Method: for Fracture Analysis of Structures, John Wiley & Sons.
10
[11] Khoei A. R., 2014, Extended Finite Element Method: Theory and Applications, John Wiley & Sons.
11
[12] Biondi B., Caddemi S., 2005, Closed form solutions of Euler–Bernoulli beams with singularities, International Journal of Solids and Structures 42: 30273044.
12
[13] Nakhaei A., Dardel M., Ghasemi M., Pashaei M., 2014, A simple method for modeling open cracked beam, International Journal of EngineeringTransactions B: Applications 28: 321329.
13
[14] Skrinar M., 2009, Elastic beam finite element with an arbitrary number of transverse cracks, Finite Elements in Analysis and Design 45: 181189.
14
[15] Xiao Y., Huang J., Ouyang Y., 2016, Bending of Timoshenko beam with effect of crack gap based on equivalent spring model, Applied Mathematics and Mechanics 37: 513528.
15
[16] Dolbow J., Belytschko T., 1999, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering 46: 131150.
16
[17] Moës N., Belytschko T., 2002, Extended finite element method for cohesive crack growth, Engineering Fracture Mechanics 69: 813833.
17
[18] Sukumar N., Moës N., Moran B., Belytschko T., 2000, Extended finite element method for threedimensional crack modelling, International Journal for Numerical Methods in Engineering 48: 15491570.
18
[19] Borst R. d., Remmers J. J., Needleman A., Abellan M. A., 2004, Discrete vs smeared crack models for concrete fracture: bridging the gap, International Journal for Numerical and Analytical Methods in Geomechanics 28: 583607.
19
[20] Kang Z., Bui T. Q., Saitoh T., Hirose S., 2017, Quasistatic crack propagation simulation by an enhanced nodal gradient finite element with different enrichments, Theoretical and Applied Fracture Mechanics 87: 6177.
20
[21] Alijani A., Mastan Abadi M., Darvizeh A., Abadi M. K., 2018, Theoretical approaches for bending analysis of founded EulerBernoulli cracked beams, Archive of Applied Mechanics 88: 875895.
21
[22] Mottaghian F., Darvizeh A., Alijani A., 2018, A novel finite element model for large deformation analysis of cracked beams using classical and continuumbased approaches, Archive of Applied Mechanics 2018: 136.
22
[23] Matbuly M., Ragb O., Nassar M., 2009, Natural frequencies of a functionally graded cracked beam using the differential quadrature method, Applied Mathematics and Computation 215: 23072316.
23
[24] Nahvi H., Jabbari M., 2005, Crack detection in beams using experimental modal data and finite element model, International Journal of Mechanical Sciences 47: 14771497.
24
[25] Orhan S., 2007, Analysis of free and forced vibration of a cracked cantilever beam, NDT & E International 40: 443450.
25
[26] Attar M., Karrech A., RegenauerLieb K., 2014, Free vibration analysis of a cracked shear deformable beam on a twoparameter elastic foundation using a lattice spring model, Journal of Sound and Vibration 333: 23592377.
26
[27] Behzad M., Ebrahimi A., Meghdari A., 2008, A new continuous model for flexural vibration analysis of a cracked beam, Polish Maritime Research 15: 3239.
27
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ORIGINAL_ARTICLE
Finite Element Modeling of the Vibrational Behavior of SingleWalled Silicon Carbide Nanotube/Polymer Nanocomposites
The multiscale finite element method is used to study the vibrational characteristics of polymer matrix reinforced by singlewalled silicon carbide nanotubes. For this purpose, the nanoscale finite element method is employed to simulate the nanotubes at the nanoscale. While, the polymer is considered as a continuum at the larger scale. The polymer nanotube interphase is simulated by spring elements. The natural frequencies of nanocomposites with different nanotube volume percentages are computed. Besides, the influences of nanotube geometrical parameters on the vibrational characteristics of the nanocomposites are evaluated. It is shown that reinforcing polymer matrix by singlewalled silicon carbide nanotubes leads to increasing the natural frequency compared to neat resin. Increasing the length of the nanotubes at the same diameter results in increasing the difference between the frequencies of nanocomposite and pure polymer. Besides, it is observed that clampedfree nanocomposites experience a larger increase in the presence of the nanotubes than clampedclamped nanotube reinforced polymers.
http://jsm.iauarak.ac.ir/article_545729_e3ed599535906089cf6190496e98c8d4.pdf
20181230T11:23:20
20191023T11:23:20
929
939
Finite Element Method
Vibrational behavior
Singlewalled silicon carbide nanotube
Polymer matrix
nanocomposites
S
Rouhi
saeedroohi2009@gmail.com
true
1
Young Researchers and Elite Club, Langarud Branch, Islamic Azad University, Langarud, Guilan, Iran
Young Researchers and Elite Club, Langarud Branch, Islamic Azad University, Langarud, Guilan, Iran
Young Researchers and Elite Club, Langarud Branch, Islamic Azad University, Langarud, Guilan, Iran
LEAD_AUTHOR
R
Ansari
true
2
Department of Mechanical Engineering, University of Guilan, Guilan, Iran
Department of Mechanical Engineering, University of Guilan, Guilan, Iran
Department of Mechanical Engineering, University of Guilan, Guilan, Iran
AUTHOR
A
Nikkar
true
3
Department of Mechanical Engineering, University of Guilan, Guilan, Iran
Department of Mechanical Engineering, University of Guilan, Guilan, Iran
Department of Mechanical Engineering, University of Guilan, Guilan, Iran
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