ORIGINAL_ARTICLE
Wave Propagation Analysis of CNT Reinforced Composite Micro-Tube Conveying Viscose Fluid in Visco-Pasternak Foundation Under 2D Multi-Physical Fields
In this research, wave propagation analysis in polymeric smart nanocomposite micro-tubes reinforced by single-walled carbon nanotubes (SWCNT) conveying fluid is studied. The surrounded elastic medium is simulated by visco-Pasternak model while the composite micro-tube undergoes electro-magneto-mechanical fields. By means of micromechanics method, the constitutive structural coefficients of nanocomposite are obtained. The fluid flow is assumed to be incompressible, viscous and irrotational and the dynamic modelling of fluid flow and fluid viscosity are calculated using Navier-Stokes equation. Micro-tube is simulated by Euler-Bernoulli and Timoshenko beam models. Based on energy method and the Hamilton’s principle, the equation of motion are derived and modified couple stress theory is utilized to consider the small scale effect. Results indicate the influences of various parameters such as the small scale, elastic medium, 2D magnetic field, velocity and viscosity of fluid and volume fraction of carbon nanotube (CNT). The result of this study can be useful in micro structure and construction industries.
http://jsm.iau-arak.ac.ir/article_542571_a432c2fec35851c3b4eccdc09be9f695.pdf
2018-06-30
232
248
Waves
Beams
Fibre reinforced composites
Piezoelectricity
Fluid dynamics
magnetic field
A. H
Ghorbanpour Arani
gh.amir36@yahoo.com
1
Faculty of Mechanical Engineering, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran
LEAD_AUTHOR
M.M
Aghdam
2
Faculty of Mechanical Engineering, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran
AUTHOR
M.J
Saeedian
3
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
[1] Masuelli M.A., 2013, Fiber Reinforced Polymers,The Technology Applied for Concrete Repair, Argentina.
1
[2] Dong K., Zhu S.Q., Wang, X., 2006, Wave propagation in multiwall carbon nanotubes embedded in a matrix material, Composite Structures 43(1): 194-202.
2
[3] Wang Q., Zhou G.Y., Lin K.C., 2006, Scale effect on wave propagation of double-walled carbon nanotubes, International Journal of Solids and Structures 43(20): 6071-6084.
3
[4] Abdollahian M., Ghorbanpour Arani A., Mosallaie Barzoki A.A., Kolahchi R., Loghman A., 2013, Non-local wave propagation in embedded armchair TWBNNTs conveying viscous fluid using DQM, Physica B 418: 1-15.
4
[5] Kaviani F., Mirdamadi H.Z., 2013, Wave propagation analysis of carbon nano-tube conveying fluid including slip boundary condition and strain/inertial gradient theory, Computers and Structures 116: 75-87.
5
[6] Ghorbanpour Arani A., Kolahchi R., Vossough H., 2012, Nonlocal wave propagation in an embedded DWBNNT conveying fluid via strain gradient theory, Physica B 407(21): 4281-4286.
6
[7] Narendar S., Gupta S.S., Gopalakrishnan S., 2012, Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler–Bernoulli beam theory, Applied Mathematical Modelling 36(9): 4529-4538.
7
[8] Ghorbanpour Arani A., Kolahchi R., Mortazavi S.A., 2014, Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems, International Journal of Mechanics and Materials 10(2): 179-191.
8
[9] Reddy J.N., Arbind A., 2012, Bending relationships between the modified couple stress-based functionally graded Timoshenko beams and homogeneous Bernoulli–Euler beams, Annals of Solid and Structural Mechanics 3(1-2):15-26.
9
[10] Mosallaie Barzoki A.A., Ghorbanpour Arani A., Kolahchi R., Mozdianfard M.R., Loghman A., 2013, Nonlinear buckling response of embedded piezoelectric cylindrical shell reinforced with BNNT under electro–thermo-mechanical loadings using HDQM, Composites Part B: Engineering 44(1): 722-727.
10
[11] Tan P., Tong L., 2001, Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials, Composites Science and Technology 61(5): 759-769.
11
[12] Kuang Y.D., He X.Q., Chen C.Y., Li G.Q., 2009, Analysis of nonlinear vibrations of double walled carbon nanotubes conveying fluid, Computational Materials Science 45(4): 875-580.
12
[13] Reddy J.N., 2002, Energy Principles and Variational Methods in Applied Mechanics, John Wiley, New York.
13
[14] Acheson D.J., 1990, Elementary Fluid Dynamics, Oxford Applied Mathematics and Computing Science Series, Oxford University Press.
14
[15] Fox R.W., McDonald A.T., Pritchard P.J., 2004, Introduction to Fluid Mechanics, Elsevier Ltd.
15
[16] Paidoussis, M.P., 1998, Fluid-Structure Interactions, Academic Press, California, USA.
16
[17] Karniadakis G., Eskok A.B., Aluru N., 2005, Microﬂows and Nanoﬂows: Fundamentals and Simulation, Springer.
17
[18] Mirramezani M., Mirdamadi H.R., 2012, The effects of Knudsen-dependent flow velocity on vibrations of a nano-pipe conveying fluid, Archive of Applied Mechanics 82(7): 879-890.
18
[19] Ghorbanpour Arani A., Amir S., 2013, Electro-thermal vibration of visco-elastically coupled BNNT systems conveying fluid embedded on elastic foundation via strain gradient theory, Physica B 419: 1-6.
19
[20] Kraus J., 1984, Electromagnetics, McGrawHill, USA.
20
[21] Cheng Z.Q. Lim C.W., Kitipornchai S., 2000, Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates, International Journal of Solids and Structures 37(23): 3153-3175.
21
[22] Zhang X.M., 2002, Parametric studies of coupled vibration of cylindrical pipes conveying fluid with the wave propagation approach, Composite Structures 80(3-4): 287-295.
22
[23] Wang L., 2010, Wave propagation of fluid-conveying single-walled carbon nanotubes via gradient elasticity theory, Computational Materials Science 49(4): 761-766.
23
24
ORIGINAL_ARTICLE
Combination Resonance of Nonlinear Rotating Balanced Shafts Subjected to Periodic Axial Load
Dynamic behavior of a circular shaft with geometrical nonlinearity and constant spin, subjected to periodic axial load is investigated. The case of parametric combination resonance is studied. Extension of shaft center line is the source of nonlinearity. The shaft has gyroscopic effect and rotary inertia but shear deformation is neglected. The equations of motion are derived by extended Hamilton principle and discretized by Galerkin method. The multiple scales method is applied to the complex form of equation of motion and the system under parametric combination resonance is analyzed. The attention is paid to analyze the effect of various system parameters on the shape of resonance curves and amplitude of system response. Furthermore, the role of external damping on combination resonance of linear and nonlinear systems is discussed. It will be shown that the external damping has different role in linear and nonlinear shaft models. To validate the perturbation results, numerical simulation is used.
http://jsm.iau-arak.ac.ir/article_542575_40794426486874809b7e13528e3317ca.pdf
2018-06-30
249
262
Rotating Shaft
Parametric excitation
Multiple scales method
M.S
Qaderi
1
Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran
AUTHOR
S.A.A
Hosseini
ali.hosseini@khu.ac.ir
2
Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran
LEAD_AUTHOR
M
Zamanian
3
Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran
AUTHOR
[1] Chen L. W., Ku D. M., 1990, Dynamic stability analysis of a rotating shaft by the finite element method, Journal of Sound and Vibration 143(1): 143-151.
1
[2] Lee H. P., Tan T. H., Leng G. S. B., 1997, Dynamic stability of spinning timoshenko shafts with a time-dependent spin rate, Journal of Sound and Vibration 199(3): 401-415.
2
[3] Sheu H.C., Chen L.W., 2000, A lumped mass model for parametric instability analysis of cantilever shaft–disk systems, Journal of Sound and Vibration 234(2): 331-348.
3
[4] Pei Y.C., 2009, Stability boundaries of a spinning rotor with parametrically excited gyroscopic system, European Journal of Mechanics - A/Solids 28(4): 891-896.
4
[5] Bartylla D., 2012, Stability investigation of rotors with periodic axial force, Mechanism and Machine Theory 58: 13-19.
5
[6] Mailybaev A. A., Seyranian A. P., 2013, Instability of a general rotating system with small axial asymmetry and damping, Journal of Sound and Vibration 332(2): 346-360.
6
[7] Mailybaev A. A., Spelsberg-Korspeter G., 2015, Combined effect of spatially fixed and rotating asymmetries on stability of a rotor, Journal of Sound and Vibration 336: 227-239.
7
[8] Bolotin V.V., 1964, The Dynamic Stability of Elastic System , Holden-day, Sanfransico, CA.
8
[9] Yamamoto T., Ishida Y., Aizawa K., 1979, On the subharmonic oscillations of unsymmetrical shafts, Bulletin of JSME 22(164): 164-173.
9
[10] Yamamoto T., Ishida Y., Ikeda T., 1981, Summed-and-differential harmonic oscillations of an unsymmetrical shaft, Bulletin of JSME 24(187): 183-191.
10
[11] Yamamoto T., Ishida Y., Ikeda T., Yamada M.,1981, Subharmonic and summed-and-differential harmonic oscillations of an unsymmetrical rotor, Bulletin of JSME 24(187): 192-199.
11
[12] Yamamoto T., Ishida Y., Ikeda T., Suzuki H., 1982, Super-summed-and-differential harmonic oscillations of an unsymmetrical shaft and an unsymmetrical rotor, Bulletin of JSME 25(200): 257-264.
12
[13] Yamamoto T., Ishida Y., Ikeda T., Yamamoto M., 1982, Nonlinear forced oscillations of a rotating shaft carrying an unsymmetrical rotor at the major critical speed, Bulletin of JSME 25(210): 1969-1976.
13
[14] Yamamoto T., Ishida Y., Ikeda T., 1983,Vibrations of a rotating shaft with rotating nonlinear restoring forces at the major critical speed, Transactions of the Japan Society of Mechanical Engineers Series C 49(448): 2133-2140.
14
[15] Ishida Y., Ikeda T., Yamamoto T., 1986, Effects of nonlinear spring characteristics on the dynamic unstable region of an unsymmetrical rotor, Bulletin of JSME 29(247): 200-207.
15
[16] Ishida Y., Liu J., Inoue T., Suzuki A., 2008,Vibrations of an asymmetrical shaft with gravity and nonlinear spring characteristics (Isolated Resonances and Internal Resonances), Journal of Vibration and Acoustics 130: 041004.
16
[17] Shahgholi M., Khadem S. E., 2012, Primary and parametric resonances of asymmetrical rotating shafts with stretching nonlinearity, Mechanism and Machine Theory 51: 131-144.
17
[18] Shahgholi M., Khadem S.E., Bab S., 2015, Nonlinear vibration analysis of a spinning shaft with multi-disks, Meccanica 50: 2293-2307.
18
[19] Ghorbanpour Arani A., Haghparast E., Amir S., 2012, Analytical solution for electro-mechanical behavior of piezoelectric rotating shaft reinforced by BNNTs under nonaxisymmetric internal pressure, Journal of Solid Mechanics 4: 339-354.
19
[20] Hosseini S. A. A., Zamanian M., 2013, Multiple scales solution for free vibrations of a rotating shaft with stretching nonlinearity, Scientia Iranica 20(1): 131-140.
20
[21] Ishida Y., Nagasaka I., Inoue T., Lee S., 1996, Forced oscillations of a vertical continuous rotor with geometric nonlinearity, Nonlinear Dynamics 11(2): 107-120.
21
[22] Nayfeh A.H., Pai P.F., 2004, Linear and Nonlinear Structural Mechanics, Wiley, New York.
22
[23] Nayfeh A. H.,1981, Introduction to Perturbation Techniques, Wiley, New York.
23
[24] Nayfeh A. H., Mook D. T., 1979, Nonlinear Oscillations, Wiley, New York.
24
[25] Valeev K. G., 1963, On the danger of combination resonances, Journal of Applied Mathematics and Mechanics 27(6): 1745-1759.
25
ORIGINAL_ARTICLE
Fracture Analysis of Externally Semi-Elliptical Crack in a Spherical Pressure Vessel with Hoop-Wrapped Composite
In this paper the effect of composite hoop-wrapped on stress intensity factor for semi-elliptical external crack which located in spherical pressure vessel, were investigated through the Finite Element Analysis. In order to find the effect of some parameters such as composite thickness and width, internal pressure and crack geometry, comparisons between different cases were done and discussed in detail. The result show that repairing crack with composite hoop-wrapped, can significantly reduce the stress intensity factor along the crack front.
http://jsm.iau-arak.ac.ir/article_542579_7b8b1d04d0eb0824f6b7d46e58d6e224.pdf
2018-06-30
263
270
Stress intensity factor
Semi-Elliptical Crack
Spherical pressure vessel
Composite layer
H
Eskandari
eskandari@put.ac.ir
1
Abadan Institute of Technology, Petroleum University of Technology, Abadan, Iran
LEAD_AUTHOR
Gh
Rashed
2
Abadan Institute of Technology, Petroleum University of Technology, Abadan, Iran
AUTHOR
F
Mirzade
3
Abadan Institute of Technology, Petroleum University of Technology, Abadan, Iran
AUTHOR
[1] Hearn E.J., 1997, Mechanics of Materials 2, The mechanics of elastic and plastic deformation of solids and structural materials: Butterworth-Heinemann.
1
[2] Nilsen K., 2011, Development of Low Pressure Filter Testing Vessel and Analysis of Electrospun Nanofiber Membranes for Water Treatment, Wichita State University.
2
[3] Shahani A., Nabavi S., 2006, Closed form stress intensity factors for a semi-elliptical crack in a thick-walled cylinder under thermal stress, International Journal of Fatigue 28(8): 926-933.
3
[4] Aydin L., Artem H.S.A, 2008, Axisymmetric crack problem of thick-walled cylinder with loadings on crack surfaces, Engineering Fracture Mechanics 75(6): 1294-1309.
4
[5] Miura N., 2008, Comparison of stress intensity factor solutions for cylinders with axial and circumferential cracks, Nuclear Engineering and Design 238(2): 423-434.
5
[6] Shahani A., Habibi S., 2007, Stress intensity factors in a hollow cylinder containing a circumferential semi-elliptical crack subjected to combined loading, International Journal of Fatigue 29(1): 128-140.
6
[7] Chao Y. J., Chen H., 1989, Stress intensity factors for complete internal and external cracks in spherical shells, International Journal of Pressure Vessels and Piping 40(4): 315-326.
7
[8] El Hakimi A., Le Grognec P., Hariri S., 2008, Numerical and analytical study of severity of cracks in cylindrical and spherical shells, Engineering Fracture Mechanics 75(5): 1027-1044.
8
[9] Perl M., Bernshtein V., 2010, 3-D stress intensity factors for arrays of inner radial lunular or crescentic cracks in a typical spherical pressure vessel, Engineering Fracture Mechanics 77(3): 535-548.
9
[10] Perl M., Bernshtein V., 2012, Three-dimensional stress intensity factors for ring cracks and arrays of coplanar cracks emanating from the inner surface of a spherical pressure vessel, Engineering Fracture Mechanics 94: 71-84.
10
[11] Baker A., Jones R., 1988, Bonded Repair of Aircraft Structures, Martinus Nijhoff, Dordrecht.
11
[12] Benyahia F., Albedah A., Bouiadjra B.B., 2014, Stress intensity factor for repaired circumferential cracks in pipe with bonded composite wrap, Journal of Pressure Vessel Technology 136(4): 041201.
12
[13] Gu L., Kasavajhala A.R.M., Zhao S., 2011, Finite element analysis of cracks in aging aircraft structures with bonded composite-patch repairs, Composites Part B: Engineering 42(3): 505-510.
13
[14] Su B., Bhuyan G., 1998, Effect of composite wrapping on the fracture behavior of the steel-lined hoop-wrapped cylinders, International Journal of Pressure Vessels and Piping 75(13): 931-937.
14
[15] Shahani A., Kheirikhah M., 2007, Stress intensity factor calculation of steel-lined hoop-wrapped cylinders with internal semi-elliptical circumferential crack, Engineering Fracture Mechanics 74(13): 2004-2013.
15
[16] Chen J., Pan H., 2013, Stress intensity factor of semi-elliptical surface crack in a cylinder with hoop wrapped composite layer, International Journal of Pressure Vessels and Piping 110: 77-81.
16
[17] Committee A.I.H., 1990, Engineered Materials Handbook: Adhesives and Sealants, CRC.
17
[18] 16.0, A., 2016, FE program package, ANSYS Inc.
18
[19] Standard, 2007, A. 579-1/ASME FFS-1 Fitness for Service, API.
19
ORIGINAL_ARTICLE
Mathematical Modeling for Thermoelastic Double Porous Micro-Beam Resonators
In the present work, the mathematical model of a homogeneous, isotropic thermoelastic double porous micro-beam, based on the Euler-Bernoulli theory is developed in the context of Lord-Shulman [1] theory of thermoelasticity. Laplace transform technique has been used to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field and temperature distribution. A numerical inversion technique has been applied to recover the resulting quantities in the physical domain. Variations of axial displacement, axial stress, lateral deflection, volume fraction field and temperature distribution with axial distance are depicted graphically to show the effects of porosity and thermal relaxation time. Some particular cases are also deduced.
http://jsm.iau-arak.ac.ir/article_542582_60eab3e151d683ac70a33297b20148cc.pdf
2018-06-30
271
284
Double porosity
Thermoelasticity
Lord-shulman theory
Micro-beam
R
Kumar
rajneesh_kuk@rediffmail.com
1
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
AUTHOR
R
Vohra
richavhr88@gmail.com
2
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
LEAD_AUTHOR
M.G
Gorla
3
Department of Mathematics& Statistics, H.P.University, Shimla, HP, India
AUTHOR
[1] Lord H., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15: 299-309.
1
[2] Biot M. A., 1941, General theory of three-dimensional consolidation, Journal of Applied Physics 12: 155-164.
2
[3] Barenblatt G. I., Zheltov I. P., Kochina I. N., 1960, Basic concept in the theory of seepage of homogeneous liquids in fissured rocks (strata), Journal of Applied Mathematics and Mechanics 24: 1286-1303.
3
[4] Aifantis E. C., 1977, Introducing a multi –porous medium, Developments in Mechanics 8: 209-211.
4
[5] Aifantis E. C., 1979, On the response of fissured rocks, Developments in Mechanics 10: 249-253.
5
[6] Aifantis E. C., 1980, On the problem of diffusion in solids, Acta Mechanica 37: 265-296.
6
[7] Wilson R.K., Aifantis E.C., 1984, On the theory of consolidation with double porosity, International Journal of Engineering Science 20(9):1009-1035.
7
[8] Khaled M .Y., Beskos D. E., Aifantis E.C., 1984, On the theory of consolidation with double porosity-III, International Journal for Numerical and Analytical Methods in Geomechanics 8: 101-123.
8
[9] Beskos D.E., Aifantis E.C., 1986, On the theory of consolidation with double porosity-II, International Journal of Engineering Science 24: 1697-1716.
9
[10] Khalili N., Salvadorian A. P .S., 2003, A fully coupled constitutive model for thermo-hydro –mechanical analysis in elastic media with double porosity, Geophysical Research Letters 30: 2268-2271.
10
[11] Svanadze M., 2005, Fundamental solution in the theory of consolidation with double porosity, Journal of the Mechanical Behavior of Materials 16: 123-130.
11
[12] Svanadze M., 2012, Plane waves and boundary value problems in the theory of elasticity for solids with double porosity, Acta Applicandae Mathematicae 122: 461-470.
12
[13] Straughan B., 2013, Stability and uniqueness in double porosity elasticity, International Journal of Engineering Science 65: 1-8.
13
[14] Nunziato J.W., Cowin S.C., 1979, A nonlinear theory of elastic materials with voids, Archive for Rational Mechanics and Analysis 72: 175-201.
14
[15] Cowin S.C., Nunziato J.W., 1983, Linear elastic materials with voids, Journal of Elasticity 13: 125-147.
15
[16] Iesan D., Quintanilla R., 2014, On a theory of thermoelastic materials with a double porosity structure, Journal of Thermal Stresses 37: 1017-1036.
16
[17] Fritz J., Baller M.K., Lang H.P., Rothuizen H., Vettiger P., Meyer E., Gntherodt H.J., Gerber C., Gimzewski J.K., 2001,Translating bio-molecular recognition into nanomechanics , Science 288: 316-318.
17
[18] Sidles J. A., 1991, Noninductive detection of single proton-magnetic resonance, Applied Physics Letters 58: 2854-2856.
18
[19] Nabian A., Rezazadeh G., Haddad-derafshi M., Tahmasebi A., 2008, Mechanical behavior of a circular micro plate subjected to uniform hydrostatic and non-uniform electrostatic pressure, Microsystem Technologies 14: 235-240.
19
[20] Fathalilou M., Motallebi A., Rezazadeh G., Yagubizade H., Shirazi K., Alizadeh Y., 2009, Mechanical behavior of an electrostatically-actuated microbeam under mechanical shock, Journal of Solid Mechanics 1: 45-57.
20
[21] Dimarogonas A., 1996, Vibration for Engineers, Prentice-Hall, Inc.
21
[22] Meirovitch L., 2001, Fundamentals of Vibrations, McGraw-Hill, International Edition.
22
[23] Boley B.A., 1972, Approximate analyses of thermally induced vibrations of beams and plates, Journal of Applied Mechanics 39: 212-216.
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[24] Manolis G.D., Beskos D.E., 1980, Thermally induced vibrations of beam structures, Computer Methods in Applied Mechanics and Engineering 21: 337-355.
24
[25] Al-Huniti N.S., Al-Nimr M.A., Naij M., 2001, Dynamic response of a rod due to a moving heat Source under the hyperbolic heat conduction model, Journal of Sound and Vibration 242: 629-640.
25
[26] Biondi B., Caddemi S., 2005, Closed form solutions of Euler-Bernoulli beams with singularities, International Journal of Solids and Structures 42: 3027-3044.
26
[27] Fang D.N., Sun Y.X., Soh A.K., 2006, Analysis of frequency spectrum of laser-induced vibration of micro beam resonators, Chinese Physics Letters 23: 1554-1557.
27
[28] Sharma J.N., Grover D., 2011. Thermoelastic vibrations in micro-/nano-scale beam resonators with voids, Journal of Sound and Vibration 330: 2964-2977.
28
[29] Esen I., 2015, A new FEM procedure for transverse and longitudinal vibration analysis of thin rectangular plates subjected to a variable velocity moving load along an arbitrary trajectory, Latin American Journal of Solids and Structures 12: 808-830.
29
[30] Kumar R., 2016, Response of thermoelastic beam due to thermal source in modified couple stress theory, Computational Methods in Science and Technology 22(2): 95-101.
30
[31] Ghadiri M., Shafiei N., 2016, Vibration analysis of rotating functionally graded Timoshenko micro beam based on modified couple stress theory under different temperature distributions, Acta Astronautica 121: 221-240.
31
[32] Zenkour A. M. , 2016, Free vibration of a microbeam resting on Pasternak's foundation via the GN thermoelasticity theory without energy dissipation, Journal of Low Frequency Noise, Vibration and Active Control 35(4): 303-311.
32
[33] Kaghazian A., Hajnayeb A., Foruzande H., 2017, Free vibration analysis of a piezoelectric nanobeam using nonlocal elasticity theory , Structural Engineering and Mechanics 61(5): 617-624.
33
[34] Ebrahimi F., Barati M.R., 2017, Vibration analysis of embedded size dependent FG nanobeams based on third-order shear deformation beam theory , Structural Engineering and Mechanics 61(6): 721-736.
34
[35] Zenkour A. M., 2017, Thermoelastic response of a micro beam embedded in Visco-Pasternak’s medium based on GN-III model, Journal of Thermal Stresses 40(2): 198-210.
35
[36] Arefi M., Zenkour A.M., 2017, Vibration and bending analysis of a sandwich micro beam with two integrated piezo-magnetic face-sheet, Composite Structures 159: 479-490.
36
[37] Honig G., Hirdes U., 1984, A method for the numerical inversion of the Laplace transforms, Journal of Computational and Applied Mathematics 10: 113-132.
37
[38] Tzou D., 1996, Macro-to-Micro Heat transfer, Taylor& Francis, Washington DC.
38
[39] Sherief H., Saleh H., 2005, A half space problem in the theory of generalized thermoelastic diffusion, International Journal of Solids and Structures 42: 4484-4493.
39
[40] Khalili N., 2003, Coupling effects in double porosity media with deformable matrix, Geophysical Research Letters 30(22): 2153-2155.
40
ORIGINAL_ARTICLE
In-Plane and out of Plane Free Vibration of U-Shaped AFM Probes Based on the Nonlocal Elasticity
Atomic force microscope (AFM) has been developed at first for topography imaging; in addition, it is used for characterization of mechanical properties. Most researches have been primarily focused on rectangular single-beam probes to make vibration models simple. Recently, the U-shaped AFM probe is employed to determine sample elastic properties and has been developed to heat samples locally. In this study, a simplified analytical model of these U-shaped AFM is described and three beams have been used for modelling this probe. This model contains two beams are clamped at one end and connected with a perpendicular cross beam at the other end. The beams are supposed only in bending flexure and twisting, but their coupling allows a wide variety of possible dynamic behaviors. In the present research, the natural frequency and sensitivity of flexural and torsional vibration for AFM probes have been analyzed considering influence of scale effect. For this purpose, governing equations of dynamic behavior of U-shaped AFM probe are extracted based on Eringen's theory using Euler–Bernoulli beam theory and an analytical method is employed to solve these equations. The results in this paper have been extracted for different values of nonlocal parameters; it is shown that for a special case, there is a good agreement between reported results in available references and our results. The obtained results show that the frequencies of U-shaped AFM decrease with increasing the nonlocal parameter.
http://jsm.iau-arak.ac.ir/article_542583_3c297b026db27a389c459b3ff9826c2e.pdf
2018-06-30
285
299
U-shaped probe
AFM
Nonlocal elasticity theory
Euler–Bernoulli beam theory
Vibration analysis
M
Ghadiri
ghadiri@eng.ikiu.ac.ir
1
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
LEAD_AUTHOR
S.A.H
Hosseini
2
Department of Mechanics, Zanjan University, Zanjan, Iran
AUTHOR
M
Karami
3
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
AUTHOR
M
Namvar
4
Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, Iran
AUTHOR
[1] Rogers B., 2003, High speed tapping mode atomic force microscopy in liquid using an insulated piezoelectric cantilever, Review of Scientific Instruments 74(11): 4683-4686.
1
[2] Giessibl F.J., 1998, High-speed force sensor for force microscopy and profilometry utilizing a quartz tuning fork, Applied Physics Letters 73(26): 3956-3958.
2
[3] Tortonese M., Barrett R., Quate C., 1993, Atomic resolution with an atomic force microscope using piezoresistive detection, Applied Physics Letters 62(8): 834-836.
3
[4] Lin S., 2005, Measurements of the forces in protein interactions with atomic force microscopy, Current Proteomics 2(1): 55-81.
4
[5] Fung R. F., Huang S. C., 2001, Dynamic modeling and vibration analysis of the atomic force microscope, Journal of Vibration and Acoustics 123(4): 502-509.
5
[6] Colton R.J., 2004, Nanoscale measurements and manipulation, Journal of Vacuum Science & Technology B 22(4): 1609-1635.
6
[7] Jalili N., Laxminarayana K., 2004, A review of atomic force microscopy imaging systems: application to molecular metrology and biological sciences, Mechatronics 14(8): 907-945.
7
[8] Rabe U., Turner J., Arnold W., 1998, Analysis of the high-frequency response of atomic force microscope cantilevers, Applied Physics A: Materials Science & Processing 66: S277-S282.
8
[9] Yamanaka K., 2001, Resonance frequency and Q factor mapping by ultrasonic atomic force microscopy, Applied Physics Letters 78(13): 1939-1941.
9
[10] Johnson K.L., 1987, Contact Mechanics, Cambridge University Press.
10
[11] Rabe U., Janser K., Arnold W., 1996, Vibrations of free and surface‐coupled atomic force microscope cantilevers: Theory and experiment, Review of Scientific Instruments 67(9): 3281-3293.
11
[12] Turner J.A., 1997, High-frequency response of atomic-force microscope cantilevers, Journal of Applied Physics 82(3): 966-979.
12
[13] Turner J.A., Wiehn J.S., 2001, Sensitivity of flexural and torsional vibration modes of atomic force microscope cantilevers to surface stiffness variations, Nanotechnology 12(3): 322.
13
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14
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41
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42
[43] Idzuchi H., Fukuma Y., Otani Y., 2015, Spin transport in non-magnetic nano-structures induced by non-local spin injection, Physica E: Low-Dimensional Systems and Nanostructures 68: 239-263.
43
[44] Sarrami-Foroushani S., Azhari M., 2014, Nonlocal vibration and buckling analysis of single and multi-layered graphene sheets using finite strip method including van der Waals effects, Physica E: Low-Dimensional Systems and Nanostructures 57: 83-95.
44
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[46] Ansari R., 2015, Free vibration of fractional viscoelastic Timoshenko nanobeams using the nonlocal elasticity theory, Physica E: Low-Dimensional Systems and Nanostructures 74: 318-327.
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47
[48] Kiani K., 2014, Nonlocal continuous models for forced vibration analysis of two-and three-dimensional ensembles of single-walled carbon nanotubes, Physica E: Low-Dimensional Systems and Nanostructures 60: 229-245.
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[49] Adhikari S., Murmu T., McCarthy M., 2014, Frequency domain analysis of nonlocal rods embedded in an elastic medium, Physica E: Low-Dimensional Systems and Nanostructures 59: 33-40.
49
[50] Wang L., 2009, Vibration and instability analysis of tubular nano-and micro-beams conveying fluid using nonlocal elastic theory, Physica E: Low-Dimensional Systems and Nanostructures 41(10): 1835-1840.
50
[51] Yang J., Ke L., Kitipornchai S., 2010, Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory, Physica E: Low-Dimensional Systems and Nanostructures 42(5): 1727-1735.
51
[52] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54(9): 4703-4710.
52
[53] Zhang Y., Liu G., Xie X., 2005, Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity, Physical Review B 71(19): 195404.
53
[54] Lu P., 2006, Dynamic properties of flexural beams using a nonlocal elasticity model, Journal of Applied Physics 99(7): 073510.
54
ORIGINAL_ARTICLE
Determination of Optimal Parameters for Finite Plates with a Quasi-Square Hole
This paper aims at optimizing the parameters involved in stress analysis of perforated plates, in order to achieve the least amount of stress around the square-shaped holes located in a finite isotropic plate using metaheuristic optimization algorithms. Metaheuristics may be classified into three main classes: evolutionary, physics-based, and swarm intelligence algorithms. This research uses Genetic Algorithm (GA) from evolutionary algorithm category, Gravitational Search Algorithm (GSA) from physics-based algorithm category and Bat Algorithm (BA) from Swarm Intelligence (SI) algorithm category. The results obtained from the present study necessitate the determination of the actual boundary between finite and infinite plate for the plates with square-shaped holes. The design variables such as bluntness, hole orientation, and plate dimension ratio as effective parameters on stress distribution are investigated. The results obtained from comparing BA, GA and GSA indicate that BA as SI algorithm category competitive results, proper convergence to global optimal solution and more optimal stress level than the two mentioned algorithms. The obtained results showed that the aforementioned parameters have a significant impact on stress distribution around a square-shaped holes and that the structure’s load-bearing capability can be increased by proper selection of these parameters without needing any change in material properties.
http://jsm.iau-arak.ac.ir/article_542586_ca0a929a0c871b3eb17037e370f1d82b.pdf
2018-06-30
300
314
Isotropic finite plate
Analytical solution
Complex variable method
Metaheuristic Algorithms
M
Jafari
m_jafari821@shahroodut.ac.ir
1
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
LEAD_AUTHOR
M.H
Bayati Chaleshtari
2
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
AUTHOR
E
Ardalani
3
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
AUTHOR
[1] Muskhelishvili N., 1954, Some Basic Problems of the Mathematical Theory of Elasticity, Dordrecht, Springer, Netherlands.
1
[2] Savin G.N., 1961, Stress Concentration Around Holes, Pregamon Press.
2
[3] Lekhnitskiy S.G., 1969, Anperforated Plates, New York, Gordon-Breach Science.
3
[4] Theocaris P.S, Petrou L., 1986, Stress distributions and intensities at corners of equilateral triangular holes, International Journal of Fracture 31(1): 271-289.
4
[5] Daoust J., Hoa S.V., 1991, An analytical solution for anperforated plates containing triangular holes, Composite Structures 19(1): 107-130.
5
[6] Abuelfoutouh N.M., 1993, Preliminary design of unstiffened composite shells, Symposium of 7th Technical Conference of ASC.
6
[7] Rezaeepazhand J., Jafari M., 2005, Stress analysis of perforated composite plates, Composite Structures 71(1): 463-468.
7
[8] Rezaeepazhand J., Jafari M., 2010, Stress concentration in metallic plates with special shaped cutout, International Journal of Mechanical Sciences 52(1): 96-102.
8
[9] Odishelidze N., Criado F., 2016, Stress concentration in an elastic square plate with a full-strength hole, Mathematics and Mechanics of Solids 21: 552-561.
9
[10] Sharma D.S., 2011, Stress concentration around circular / elliptical / triangular cutouts in infinite composite plate, Proceedings of the World Congress on Engineering.
10
[11] Kradinov V., Madenci E., Ambur D.R., 2007, Application of genetic algorithm for optimum design of bolted composite lap joints, Composite Structures 77: 148-159.
11
[12] Yun K., 2009, Optimal bound on high stresses occurring between stiff fibers with arbitrary shaped cross-sections, Journal of Mathematical Analysis and Applications 350: 306-312.
12
[13] Fuschi P., Pisano A.A., Domenico D. De., 2015, Plane stress problems in nonlocal elasticity : finite element solutions with a strain-difference-based formulation, Journal of Mathematical Analysis and Applications 1: 1-23.
13
[14] Bazehhour B.G., Rezaeepazhand J., 2014, Torsion of tubes with quasi-polygonal holes using complex variable method, Mathematics and Mechanics of Solids 19: 260-276.
14
[15] Ghugal Y.M., Sayyad A.S., 2010, A static flexure of thick perforated plates using trigonometric shear deformation theory, Journal of Solid Mechanics 2: 79-90.
15
[16] Pan Z., Cheng Y., Liu J., 2013, Stress analysis of a finite plate with a rectangular hole subjected to uniaxial tension using modified stress functions, International Journal of Mechanical Sciences 75: 265-277.
16
[17] Jafari M., Ardalani E., 2016, Stress concentration in finite metallic plates with regular holes, International Journal of Mechanical Sciences 106: 220-230.
17
[18] Liu Y., Jin F., Li Q., 2006, A strength-based multiple cutout optimization in composite plates using fixed grid finite element method, Composite Structures 73: 403-412.
18
[19] Sivakumara K., Iyengar N.G.R., Deb K., 1998, Optimum design of laminated composite plates with cutouts using a genetic algorithm, Composite Structures 42: 265-279.
19
[20] Almeida F.S., Awruch A.M., 2009, Design optimization of composite laminated structures using genetic algorithms and finite element analysis, Composite Structures 88: 443-454.
20
[21] Jianqiao C., Yuanfu T., Rui G., Qunli A., 2013, Reliability design optimization of composite structures based on PSO together with FEA, Chinese Journal of Aeronautics 26: 343-349.
21
[22] Holdorf R., Lemosse D., Eduardo J., Cursi S.D., Rojas J., 2011, An approach for the reliability based design optimization, Optimization and Engineering 43: 1079-1094.
22
[23] Vosoughi A.R., Gerist S., 2014, New hybrid FE-PSO-CGAs sensitivity base technique for damage detection of laminated composite beams, Composite Structures 118: 68-73.
23
[24] Sharma D.S., Patel N.P., Trivedi R.R., 2014, Optimum design of laminates containing an elliptical hole, International Journal of Mechanical Sciences 85: 76-87.
24
[25] Jafari M., Rohani A., 2016, Optimization of perforated composite plates under tensile stress using genetic algorithm, Journal of Composite Materials 50: 2773-2781.
25
[26] Suresh S., Sujit P.B., Rao A.K., 2007, Particle swarm optimization approach for multi-objective composite box-beam design, Composite Structures 81: 598-605.
26
[27] Vigdergauz S., 2012, Stress-smoothing holes in an elastic plate: From the square lattice to the checkerboard, Mathematics and Mechanics of Solids 17: 289-299.
27
[28] Zhu X., He R., Lu X., Ling X., Zhu L., Liu B., 2015, A optimization technique for the composite strut using genetic algorithms, Materials and Design 65: 482-488.
28
[29] Izquierdo J., Campbell E., Montalvo I., Pérez-García R., 2016, Injecting problem-dependent knowledge to improve evolutionary optimization search ability, Journal of Computational and Applied Mathematics 291: 281-292.
29
[30] Yang W., Yue Z., Li L., Wang P., 2015, Aircraft wing structural design optimization based on automated finite element modelling and ground structure approach, Optimization and Engineering 273: 1-21.
30
[31] Rezaeipouralmasi A., Fariba F., Rasoli S., 2015, Modifying stress-strain curves using optimization and finite elements simulation methods, Journal of Solid Mechanics 7: 71-82.
31
[32] Gen M., Cheng R., 2000, Genetic Algorithms and Engineering Optimization, New York, John Wiley & Sons.
32
[33] Sivanandam S.N., Deepa S.N., 2008, Genetic Algorithm Optimization Problems, In Introduction to Genetic Algorithms, Springer Berlin Heidelberg, New York.
33
[34] Sun Z.L., Zhao M.Y., Luo L.L., 2013, Reinforcement design for composite laminate with large Cutout by a genetic algorithm method, Advanced Materials Research 631: 754-758.
34
[35] Toledo C.F.M., Oliveira L., França P.M., 2014, Global optimization using a genetic algorithm with hierarchically structured population, Journal of Computational and Applied Mathematics 261: 341-351.
35
[36] Rashedi E., Nezamabadipour H., Saryazdi S., 2009, GSA: A gravitational search algorithm, Information Science 179: 2232-2248.
36
[37] Sabri N.M., Puteh M., Mahmood M.R., 2013, A review of gravitational search algorithm, International Journal of Advances in Soft Computing and its Applications 5: 1-39.
37
[38] Yang X.S., 2010, A new metaheuristic bat-inspired algorithm, Inspired Cooperative Strategies for Optimization 284: 65-74.
38
[39] Yang X., Gandomi A.H., 2012, Bat algorithm: a novel approach for global engineering optimization, Engineering Computations 29: 464-483.
39
ORIGINAL_ARTICLE
Analytical Solutions of the FG Thick Plates with In-Plane Stiffness Variation and Porous Substances Using Higher Order Shear Deformation Theory
This paper presents the governing equations on the rectangular plate with the variation of material stiffness through their thick using higher order shear deformation theory (HSDT). The governing equations are obtained by using Hamilton's principle with regard to variation of Young's modulus in through their thick with regard sinusoidal variation of the displacement field across the thickness. In addition, the effects of the substances in FG-porous plate are investigated.
http://jsm.iau-arak.ac.ir/article_542590_76d26710c24bbc926f13c77bae314500.pdf
2018-06-30
315
325
Functionally Graded Materials
Navier solution
Porous material
Rectangular plate
M
karimi darani
karimidarani@gmail.com
1
Department of Engineering, Colleg of Engineering, Fereydan Brabch , Islamic Azad University, Isfahan, Iran
LEAD_AUTHOR
A
Ghasemi
2
Department of Engineering, Colleg of Engineering, Fereydan Brabch , Islamic Azad University, Isfahan, Iran
AUTHOR
[1] Birman V., Byrd L.W., 2007, Modeling and analysis of functionally graded materials and structures, Applied Mechanics Reviews 60(5): 195-216.
1
[2] Jha D.K., Kant T., Singh R.K., 2013, A critical review of recent research on functionally graded plates, Composite Structures 96: 833-849.
2
[3] Cheng Z.Q., Batra R.C., 2000, Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates, Journal of Sound and Vibration 229(4): 879-895.
3
[4] Navazi H.M., Haddadpour H., Rasekh M., 2006, An analytical solution for nonlinear cylindrical bending of Functionally graded plates, Thin-Walled Structures 44(11): 1129-1137.
4
[5] Sun D., Luo S-N., 2011, Wave propagation and transient response of functionally graded material circularplates under a point impact load, Composites Part B: Engineering 42(4): 657-665.
5
[6] Zenkour A.M., 2012, Exact relationships between classical and sinusoidal theories for FGM plates, Mechanics of Advanced Materials and Structures 19(7): 551-567.
6
[7] Abrate S., 2008, Functionally graded plates behave like homogeneous plates, Composites Part B: Engineering 39(1): 151-158.
7
[8] Ghannadpour S.A.M., Alinia M.M., 2006, Large deﬂection behavior of functionally graded plates under pressure loads, Composite Structures 75(1-4): 67-71.
8
[9] Cheng Z.Q., Batra R.C., 2000, Deﬂection relationship between the homogenous Kirchhoff plate theory and different functionally graded plates theories, Archive of Applied Mechanics 52(1): 143-158.
9
[10] Menaa R., Tounsi A., Mouaici F., Mechab I., Zidi M., Bedia E.A.A., 2012, Analytical solutions for static shear correction factor of functionally graded rectangular beams, Mechanics of Advanced Materials and Structures 19(8): 641-652.
10
[11] Saidi A.R., Jomehzadeh E., 2009, On the analytical approach for the bending/stretching of linearly elastic functionally graded rectangular plates with two opposite edges simply supported, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223(9): 2009-2016.
11
[12] Nosier A., Fallah F., 2009, Non-linear analysis of functionally graded circular plates under asymmetric transverse loading, International Journal of Non-Linear Mechanics 44(8): 928-942.
12
[13] Nguyen T-K., Sab K., Bonnet G., 2008, First-order shear deformation plate models for functionally graded materials, Composite Structures 83(1): 25-36.
13
[14] Liu M., Cheng Y., Liu J., 2015, High-order free vibration analysis of sandwich plates with both functionally graded face sheets and functionally graded ﬂexibl core, Composites Part B: Engineering 72: 97-107.
14
[15] Reddy J., 2000, Analysis of functionally graded plates, International Journal for Numerical Methods in Engineering 47: 663-684.
15
[16] Hosseini-Hashemi S., Fadaee M., Atashipour S.R., 2011, Study on the free vibration of thick functionally graded rectangular plates according to a new exact closed- form procedure, Composite Structures 93(2): 722-735.
16
[17] Qian L.F., Batra R.C., Chen L.M., 2004, Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrove Galerkin method, Composites Part B: Engineering 35(6-8): 685-697.
17
[18] Neves A.M.A., Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C., Jorge R.M.N., 2013, Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation the ory and a meshless technique, Composites Part B: Engineering 44(1): 657-674.
18
[19] Wattanasakulpong N., Ungbhakor V., 2014, Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities, Aerospace Science and Technology 32: 111-120.
19
[20] Wattanasakulpong N., Prusty B.G., Kelly D.W., Hoffman M., 2012, Free vibration analysis of layered functionally graded beams with experimental validation, Materials & Design 36:182-190.
20
[21] Belabed Z., Houari M.S.A., Tounsi A., Mahmoud S.R., Anwar Beg O., 2014, An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates, Composites Part B: Engineering 60: 274-283.
21
[22] Mantari J.L., Guedes Soares C., 2013, Finite element formulation of a generalized higher order shear deformation theory for advanced composite plates, Composite Structures 96: 545-553.
22
[23] Amirpour M., Das R., Saavedra Flores E.I., 2016, Analytical solutions for elastic deformation of functionally Graded thick plates with in-plane stiffness variation using higher order shear deformation theory, Composites Part B: Engineering 94:109-121.
23
[24] Kim S-E., Thai H-T., Lee J., 2009, Buckling analysis of plates using the two variable refined plate theory, Thin-Walled Structures 47(4): 455-462.
24
[25] Thai H-T., Choi D-H., 2013, Analytical solutions of refined plate theory for bending, buckling and vibration analyses of thick plates, Applied Mathematical Modelling 37(18-19): 8310-8323.
25
[26] Tornabene F., 2009, Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution, Computer Methods in Applied Mechanics and Engineering 198(37-40): 2911-2935.
26
ORIGINAL_ARTICLE
Stress Analysis in Thermosensitive Elliptical Plate with Simply Supported Edge and Impulsive Thermal Load
The paper concerns the thermoelastic problems in a thermosensitive elliptical plate subjected to the activity of a heat source which changes its place on the plate surface with time. The solution of conductivity equation and the corresponding initial and boundary conditions is obtained by employing a new integral transform technique. In addition, the intensities of bending moments, resultant force, etc. are formulated involving the Mathieu and modified functions and their derivatives. The analytical solution for the thermal stress components is obtained in terms of resultant forces and resultant moments.
http://jsm.iau-arak.ac.ir/article_542593_2c148ffdb139e5a8a7ce379cb77246af.pdf
2018-06-30
326
337
Elliptical plate
Thermosensitive
Temperature distribution
Thermal stresses
Mathieu function
Thermal moment
V
Varghese
1
M.G. College, Armori, Gadchiroli, India
AUTHOR
P
Bhad
praash.bhad@gmail.com
2
Priyadarshini J. L., College of Engineering, Nagpur, India
LEAD_AUTHOR
L
Khalsa
3
M.G. College, Armori, Gadchiroli, India
AUTHOR
[1] Touloukian Y.S., 1970, Thermophysical Properties of Matter, Conductivity-Metallic Elements and Alloys, New York.
1
[2] Touloukian Y.S., 1973, Thermophysical Properties of Matter, Specific Heat-Metallic Elements and Alloys, New York.
2
[3] Touloukian Y.S., 1973, Thermophysical Properties of Matter, Thermal Diffusivity, New York.
3
[4] Touloukian Y.S., 1975, Thermophysical Properties of Matter, Thermal Expansion-Metallic Elements and Alloys, New York.
4
[5] Lee H.-J., 1998, The effect of temperature dependent material properties on the response of piezoelectric composite materials, Journal of Intelligent Material Systems and Structures 9(7): 503-508.
5
[6] Zhu X. K., Chao Y. U., 2002, Effect of temperature-dependent material properties on welding simulation, Computers & Structures 80(11): 967-976.
6
[7] Shariyat M., 2007, Thermal buckling analysis of rectangular composite plates with temperature dependent properties based on a layer wise theory, Thin-Walled Structures 45(4): 439-452.
7
[8] Sugano Y., 1983, Analysis of transient thermal stresses in an orthotropic finite rectangular plate exhibiting temperature-dependent material properties, Nippon Kikai Gakkai Ronbunshu 49: 1315-1323.
8
[9] Sugano Y., Maekawa T., 1985, Transient thermal stresses in a perforated plate of variable thickness exhibiting temperature-dependent material properties, Nippon Kikai Gakkai Ronbunshu 51: 63-71.
9
[10] Noda N., 1986, Thermal Stresses in Materials with Temperature-Dependent Properties, North-Holland, Amsterdam.
10
[11] Noda N., Daichyo Y., 1987, Transient thermoelastic problem in a long circular cylinder with temperature dependent properties, Transactions of the Japan Society of Mechanical Engineers Series A 53(487): 559-565.
11
[12] Noda N., 1991, Thermal stresses in materials with temperature-dependent properties, American Society of Mechanical Engineers 44(9): 383-397.
12
[13] Tang S., 1968, Thermal stresses in temperature-dependent isotropic plates, Journal of Spacecraft and Rockets 5(8): 987-990.
13
[14] Tang S., 1969, Some problems in thermoelasticity with temperature-dependent properties, Journal of Spacecraft and Rockets 6(2): 217-219.
14
[15] Tanigawa Y., Akai T., Kawamura R., Oka N., 1996, Transient heat conduction and thermal stress problems of a nonhomogeneous plate with temperature-dependent material properties, Journal of Thermal Stresses 19(1): 77-102.
15
[16] Popovych V. S., Harmatiy H. Y., 1993, Analytical and numerical methods of solutions of heat conduction problems with temperature-sensitive body convective heat transfer, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics 1993(3): 67-93.
16
[17] Harmatiy H. Y., Kutniv M. B., Popovich V. S., 2002, Numerical solution of unsteady heat conduction problems with temperature-sensitive body convective heat transfer, Engineering 2002(1): 21-25.
17
[18] Rakocha I., Popovych V., 2016, The mathematical modeling and investigation of the stress-strain state of the three-layer thermosensitive hollow cylinder, Acta Mechanica et Automatica 10(3): 181-188.
18
[19] Kushnir R. M., Protsiuk Y. B., 2010, Thermoelastic state of layered thermosensitive bodies of revolution for the quadratic dependence of the heat-conduction coefficients, Materials Science 46(1): 1-15.
19
[20] Yevtuchenko A. A., Kuciej M., Och E., 2014, Influence of thermal sensitivity of the pad and disk materials on the temperature during braking, International Communications in Heat and Mass Transfer 55: 84-92.
20
[21] Kushnir R. M., Popovych V., 2006, Stressed state thermosensitive body rotation in the plane axialsymmetric temperature field, Median Mechanics 2006(2): 91-96.
21
[22] Kushnir R. M., Popovych V. S., 2011, Heat Conduction Problems of Thermosensitive Solids under Complex Heat Exchange, Heat Conduction-Basic Research.
22
[23] Harmatij H., Król M., Popovycz V., 2013, Quasi-static problem of thermoelasticity for thermosensitive infinite circular cylinder of complex heat exchange, Advances in Pure Mathematics 3(4): 430-437.
23
[24] Bhad P., Varghese V., Khalsa L.H., 2016, Heat source problem of thermoelasticity in an elliptic plate with thermal bending moments, Journal of Thermal Stresses 40(1): 96-107.
24
[25] Bhad P., Khalsa L., Varghese V., 2016, Transient thermoelastic problem in a confocal elliptical disc with internal heat sources, Advances in Mathematical Sciences and Applications 25: 43-61.
25
[26] Bhad P., Khalsa L., Varghese V., 2016, Thermoelastic theories on elliptical profile objects: an overview & prospective, International Journal of Advances in Applied Mathematics and Mechanics 4(2): 12-20.
26
[27] Bhad P., Khalsa L., Varghese V., 2016, Thermoelastic-induced vibrations on an elliptical disk with internal heat sources, Journal of Thermal Stresses 40(4): 502-516.
27
[28] Bhad P., Varghese V., Khalsa L., 2016, A modified approach for the thermoelastic large deflection in the elliptical plate, Archive of Applied Mechanics 87(4): 767-781.
28
[29] Gupta R.K., 1964, A finite transform involving Mathieu functions and its application, The Proceedings of the National Academy of Sciences Part A, India.
29
[30] Pateriya M.P., 1975, Internal heat generation in an infinite plate with a transverse circular cylindrical hole, Indian Journal of Pure and Applied Mathematics 8(11): 1340-1346.
30
[31] McLachlan N.W., 1947, Theory and Application of Mathieu Function, Clarendon Press, Oxford.
31
[32] Varghese V., Khobragade N.W., 2007, Alternative solution of transient heat conduction in a circular plate with radiation, International Journal of Applied Mathematics 20(8): 1133-1140.
32
ORIGINAL_ARTICLE
Fatigue Life of Graphite Powder Mixing Electrical Discharge Machining AISI D2 Tool Steel
The present paper deals with the design of experimental work matrices for two groups of experiments by using Response surface methodology (RSM). The first EDM group was dealt with the use of kerosene dielectric alone, while the second was treated by adding the graphite micro powders mixing to dielectric fluid (PMEDM). The total heat flux generated and fatigue lives after EDM and PMEDM models were developed by FEM using ANSYS 15.0 software. The graphite electrodes gave a total heat flux higher than copper electrodes by (82.4 %). The use of graphite powder and both electrodes yielded more heat flux by (270.1 %) and (102.9 %) than the copper and graphite electrodes, respectively with use of kerosene dielectric alone. Using graphite electrodes and kerosene dielectric alone improved the WLT by (40.0 %) when compared with the use of copper electrodes. Whereas, using copper electrodes and the graphite powder improved the WLT by (66.7 %) compared with the use of graphite electrodes under the same machining conditions. Copper electrodes with graphite powder gave experimental fatigue safety factor higher by (30.38 %) when compared with using graphite electrodes and higher by (15.73%) and (19.77%) when compared with using the copper and graphite electrodes and kerosene dielectric alone, respectively.
http://jsm.iau-arak.ac.ir/article_542594_f8b7392eb38fefce700850cd9e9dcd4d.pdf
2018-06-30
338
353
EDM
PMEDM
Graphite powder
RSM
ANOVA
FEM
AISI D2 Die Steel
WLT
Total heat flux
Fatigue Life
Fatigue safety factors
A
Al-Khazraji
1
Mechanical Engineering Department, University of Technology, Baghdad, Iraq
AUTHOR
S.A
Amin
2
Mechanical Engineering Department, University of Technology, Baghdad, Iraq
AUTHOR
S.M
Ali
saad.eng@uokerbala.edu.iq
3
Biomedical Engineering Department, University of Technology, Baghdad, Iraq
LEAD_AUTHOR
[1] Lee L.C., Lim L.C., Wong Y.S., Lu H.H., 1990, Towards a better understanding of the surface features of electro-discharge machined tool steels, The Journal of Materials Processing Technology 24: 513-523.
1
[2] Lim L.C., Lee L.C., Wong Y.S., Lu H.H. 1991, Solidification microstructure of electro discharge machined surfaces of tool steels, Journal of Materials Science and Technology 7: 239-248.
2
[3] Lin Y.C., Yan B.H., Huang F.Y., 2001, Surface improvement using a combination of electrical discharge machining with ball burnish machining based on the Taguchi method, The International Journal of Advanced Manufacturing Technology 18(9): 673-682.
3
[4] Abu Zeid O.A., Ho K.H., Newman S.T., 2003, On the effect of electro-discharge machining, International Journal of Machine Tools & Manufacture 43: 1287-1300.
4
[5] Khundrakpam N.S., Singh H., Kumar S., Brar G.S., 2014, Investigation and modeling of silicon powder mixed EDM using response surface method, International Journal of Current Engineering and Technology 4(2): 1022-1026.
5
[6] Reddy B., Kumar G.N., Chandrashekar K., 2014, Experimental investigation on process performance of powder mixed electric discharge machining of AISI D3 steel and EN-31 steel, International Journal of Current Engineering and Technology 4(3): 1218-1222.
6
[7] ASTM A370, Standard Test Method and Definitions for Mechanical Testing of Steel Products, American Society for Testing and Materials, Washington.
7
[8] ASTM A681, Standard Specification for Tool Steels Alloy, American Society for Testing and Materials, Washington.
8
[9] Bhattacharya R., Jain V.K., Ghoshdastidar P.S., 1996, Numerical simulation of thermal erosion in EDM process, Journal of the Institution of Engineers Part PR, Production Engineering Division 77: 13-19.
9
[10] Yadav V., Jain V.K., Dixit P.M., 2002, Thermal stresses due to electrical discharge machining, International Journal of Machine Tools and Manufacture 42: 877-888.
10
[11] Patel B.B., Rathod K.B., 2012, Multi-parameter analysis and modeling of surface roughness in electro cischarge machining of AISI D2 steel, International Journal of Scientific & Engineering Research 3(6): 1-6.
11
[12] Shankar P., Jain V.K., Sundarajan T., 1997, Analysis of spark profiles during EDM process, Machining Science Technology 1(2): 195-217.
12
[13] Marafona J., Chousal J.A., 2006, A finite element model of EDM based on the Joule effect, International Journal of Machine Tools and Manufacture 46: 595-602.
13
[14] Shigley J.E., Mischke C.R., 2006, Mechanical Engineering Design, McGraw-Hill Inc.
14
ORIGINAL_ARTICLE
Engineering Critical Assessments of Marine Pipelines with 3D Surface Cracks Considering Weld Mismatch
Offshore pipelines are usually constructed by the use of girth welds, while welds may naturally contain flaws. Currently, fracture assessment procedures such as BS 7910 are based on the stress-based methods and their responses for situations with large plastic strain is suspicious. DNV-OS-F101 with limited modifications proposes a strain-based procedure for such plastic loads. In this paper 3D nonlinear elastic-plastic finite element analyses using the ABAQUS software are performed in order to compare existing stress- and strain-based procedures beside newly strain-based method which is called CRES approach in order to improve the criteria used in current guidelines particularly at large plastic strains. It is concluded that although BS 7910 values are closer to finite element results than other methods in elastic region, but it is still conservative. In the area of large plastic strain, CRES method is very less conservative in both case of with and without internal pressure in comparison to others. The comparison of numerical simulation results with those available experimental data reveals a good agreement.
http://jsm.iau-arak.ac.ir/article_542595_dad4da1558093b54eb8ae6f2c01a4f99.pdf
2018-06-30
354
363
Engineering critical assessment (ECA)
Marine pipelines, Girth welds
Surface cracks
Weld mismatching
CTOD
S.M.H
Sharifi
sharifi@put.ac.ir
1
Department of Offshore Structures Engineering, Faculty of Marine Science, Petroleum University of Technology, Abadan, Iran
LEAD_AUTHOR
M
Kaveh
2
Department of Offshore Structures Engineering, Faculty of Marine Science, Petroleum University of Technology, Abadan, Iran
AUTHOR
H
Saeidi Googarchin
3
Automotive Fluids and Structures Analysis Research Laboratory, School of Automotive Engineering, University of Science and Technology, Tehran, Iran
AUTHOR
[1] BS 7910 , 2005, Guide on Methods for Assessing the Acceptability of Flaws in Metallic Structures, BSI.
1
[2] Schwalbe K.H., 1994, The crack tip opening displacement and J integral under strain control and fully plastic conditions estimated by the engineering treatment model for plane stress tension, Journal of Fracture Mechanics 24: 636-651.
2
[3] Linkens D., Formby C.L., Ainsworth R.A.A., 2000, Strain-based approach to fracture assessment-example applications, Proceedings of 15th International Conference on Engineering Structural Integrity Assessment, Cambridge, EMAS.
3
[4] Wang Y., Liu M., Stephens M., Petersen R., Horsley D., 2009, Recent developments in strain-based design in North America, Proceedings 19th International Offshore and Polar Engineering Conference, ISOPE, Osaka, Japan.
4
[5] Stephens M., Petersen R., Wang Y., Gordon R., Horsley D., 2010, Large-scale experimental data for improved strain-based design models, 8th International Pipeline Conference, Calgary, Alberta, Canada, ASME 2010.
5
[6] Wang Y.Y., Liu M., Song Y., Horsley D., 2012, Tensile strain models for strain-based design of pipelines, Proceedings of the ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering, OMAE2012, Rio de Janeiro, Brazil.
6
[7] DNV-OS-F101, 2012, Offshore Standard – Submarine Pipeline Systems, Det Norske Veritas, Hovik, Norway.
7
[8] Raju I.S., Newman Jr J.C., 1982, Stress-intensity factors for internal and external surface cracks in cylindrical vessels, Journal of Pressure Vessel and Technology 9: 104-293.
8
[9] Jayadevan K.R., Østby E., Thaulow C., 2004, Fracture response of pipelines subjected to large plastic deformation under tension, International Journal of Pressure and Vessel Piping 81: 771-783.
9
[10] Østby E., Jayadevan K.R., Thaulow C., 2005, Fracture response of pipelines subject to large plastic deformation under bending, International Journal of Pressure Vessel and Piping 82: 201-215.
10
[11] CSA Z662, 2007, Oil and Gas Pipeline Systems, Canadian Standards Association.
11
[12] Hibbitt, Karlsson and Serensen, 2014, ABAQUS/STANDARD, User’s Guide and Theoretical Manual, Version 6.14.
12
[13] Anderson T. L., 2005, Fracture Mechanics Fundamentals and Applications, CRC Press.
13
[14] McMeeking R., Parks D. M., 1979, On Criteria for J-Dominance of Crack Tip Fields in Large-Scale Yielding, Philadelphia, ASTM International.
14
[15] Yi D., Idapalapati S., Xiao Z. M., Kumar S. B., 2012, Fracture analysis of girth welded pipeline with 3D embedded subjected to biaxial loading conditions, Journal of Engineering Fracture Mechanics 96: 570-587.
15
[16] Chattopadhyay J., Kushwaha H.S., Roos E., 2009, Improved integrity assessment equations of pipe bends, International Journal of Pressure Vessels and Piping 86: 454-473.
16
ORIGINAL_ARTICLE
Optimal Locations on Timoshenko Beam with PZT S/A for Suppressing 2Dof Vibration Based on LQR-MOPSO
Neutralization of external stimuli in dynamic systems has the major role in health, life, and function of the system. Today, dynamic systems are exposed to unpredicted factors. If the factors are not considered, it will lead to irreparable damages in energy consumption and manufacturing systems. Continuous systems such as beams, plates, shells, and panels that have many applications in different industries as the main body of a dynamic system are no exceptions for the damages, but paying attention to the primary design of model the automatic control against disturbances has highly met the objectives of designers and also has saved much of current costs. Beam structure has many applications in constructing blades of gas and wind turbines and robots. When it is exposed to external loads, it will have displacements in different directions. Now, it is the control approach that prevents from many vibrations by designing an automated system. In this study, a cantilever beam has been modeled by finite element and Timoshenko Theory. Using piezoelectric as sensor and actuator, it controls the beam under vibration by LQR controller. Now, in order to increase controllability of the system and reduce the costs, there are only spots of the beam where most displacement occurs. By controlling the spots and applying force on them, it has the most effect on the beam. By multi-objective particle swarm optimization or MOPSO algorithm, the best weighting matrices coefficients of LQR controller are determined due to sensor and actuator displacement or the beam vibration is controlled by doing a control loop.
http://jsm.iau-arak.ac.ir/article_542596_889f399f30a9bdc74cc4e2c7d23e7a2a.pdf
2018-06-30
364
386
Keywords : Vibration attenuation
Timoshenko beam
Optimal placement
PZT patches
LQR controller
Multi-objective particle swarm optimization
M
Hasanlu
1
Department of Mechanical Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran
AUTHOR
A
Bagheri
bagheri@guilan.ac.ir
2
Department of Mechanical Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran
LEAD_AUTHOR
[1] Quek S.T., Wang S.Y., Ang K.K., 2003, Vibration control of composite plates via optimal placement of piezoelectric patches, Journal of Intelligent Material Systems and Structures 14: 229-245.
1
[2] Liu W., Hou Z., Demtriou M.A.,2006, A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial measures, Mechanical System and Signal Processing 20: 881-895.
2
[3] Gua H.Y., Zhang L., Zhang L.L., Zhou J.X., 2004, Optimal placement of sensors for structural health monitoring using improved genetic algorithms, Smart Material and Structures 13: 528.
3
[4] Rocha da T.L., Silva da S., Lopes Jr V., 2004, Optimal location of piezoelectric sensor and actuator for flexible structures, 11th International Congress on Sound and Vibration, Petersburg, Russia.
4
[5] Santoes e Lucato S.L.D., Meeking R.M., Evans A.G., 2005, Actuator placement optimization in a kagome based high authority shape morphing structure, Smart Materials and Structures 14: 86-75.
5
[6] Brasseur M., Boe P.D., Gdinval J.C., Tamaz P., Caule P., Embrechts J.J., Nemerlin J., 2004, Placement of Piezoelectric Laminate Actuator for Active Structural Acoustic Control, University of Twente.
6
[7] Ning H.H., 2004,Optimal number and placements of piezoelectric patch actuators in structural active vibration control, Engineering Computations 21(6): 601-665.
7
[8] Oliveira A.S., Junior J.J.L., 2005, Placement optimization of piezoelectric actuators in a simply supported beam through SVD analysis and shape function critic point, 6th World Congress of Structural and Multidisciplinary Optimization, Brazil.
8
[9] Wang S.Y., Tai K., Quek S.T., 2006, Topology optimization of piezoelectric sensors/actuators for torsional vibration control of composite plates, Smart Materials and Structures 15: 253-269.
9
[10] Lottin J., Formosa F., Virtosu M., Brunetti L., 2006, About optimal location of sensors and actuators for the control of flexible structures, Research and Education in Mechatronics, Stockholm, Sweden.
10
[11] Lottin J., Formosa F., Virtosu M., Brunetti L., 2006, Optimization of piezoelectric sensor location for delamination detection in composite laminates, Engineering Optimization 38(5): 511-528.
11
[12] Belloli A., Ermanni P., 2007, Optimum placement of piezoelectric ceramic modules for vibration suppression of highly constrained structures, Smart Materials and Structures 16: 1662-1671.
12
[13] Qiu Z.C., Zhang X.M., Wu H.X., Zhang H.H., 2007, Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate, Journal of Sound and Vibration 301: 521-543.
13
[14] Roy T., Chakraborty D., 2009, GA-LQR based optimal vibration control of smart FRP composite structures with bonded PZT patches, Journal of Reinforced Plastics and Composites 28:1383-1404.
14
[15] Safizadeh M.R., Mat Darus I.Z., Mailah M., Optimal Placement of Piezoelectric Actuator for Active Vibration Control of Flexible Plate, Faculty of Mechanical Engineering University Technology Malaysia (UTM) 81310 Skudai, Johor, Malaysia.
15
[16] Yang J.Y., Chen G.P., 2010, Actuator placement and configuration direct optimization in plate structure vibration control system, International Conference on Measuring Technology and Mechatronics Automation.
16
[17] Yang J., Chen G., 2010, Optimal placement and configuration direction of actuators in plate structure vibration control system, 2nd International Asia Conference on Informatics in Control, Automation and Robotics.
17
[18] Manjunath T.C., Bandyopadhyay B., 2009, Vibration control of Timoshenko smart structure using multirate output feedback based discrete sliding mode control for SISO systems, Journal Sound and Vibration 326: 50-74.
18
[19] Logan D.L., 2012, A First Course in the Finite Element Method, Cengage Learning, Amazon.
19
[20] Clerc M., 2005, Particle Swarm Optimization, ISTE.
20
[21] Clerc M., Kennedy J., 2002, The particle swarm-explosion stability and convergence in a multidimensional complex space, IEEE Transaction on Evolutionary Computation.
21
ORIGINAL_ARTICLE
Vibration Suppression of Simply Supported Beam under a Moving Mass using On-Line Neural Network Controller
In this paper, model reference neural network structure is used as a controller for vibration suppression of the Euler–Bernoulli beam under the excitation of moving mass travelling along a vibrating path. The non-dimensional equation of motion the beam acted upon by a moving mass is achieved. A Dirac-delta function is used to describe the position of the moving mass along the beam and its inertial effects. Analytical solution the equation of motion is presented for simply supported boundary condition. The hybrid controller of system includes of a controller network and an identifier network. The neural networks are multilayer feed forward and trained simultaneously. The performance and robustness of the proposed controller are evaluated for various values mass ratio of the moving mass to the beam and dimensionless velocity of a moving mass on the time history of deflection. The simulations verify effectiveness and robustness of controller.
http://jsm.iau-arak.ac.ir/article_542597_726946e939564f3d26d0e0a60b18d4e8.pdf
2018-06-30
387
399
Vibration control
Neural network controller
Euler–Bernoulli beam theory
Moving mass
S
Rezaei
sara_r759@yahoo.com
1
University of Applied Science and Technology, Center of Mammut, Tehran, Iran
LEAD_AUTHOR
M
Pourseifi
2
Faculty of Engineering, The University of Imam Ali, Tehran, Iran
AUTHOR
[1] Kononov A.V., De Borst R., 2002, Instability analysis of vibrations of a uniformly moving mass in one and two-dimensional elastic systems, European Journal of Mechanics-A/Solids 21(1): 151-165.
1
[2] Frýba L., 2013, Vibration of Solids and Structures under Moving Loads, Springer Science & Business Media.
2
[3] Bilello C., Lawrence A.B., Daniel K., 2004, Experimental investigation of a small-scale bridge model under a moving mass, Journal of Structural Engineering 130(5): 799-804.
3
[4] Sung Y-G., 2002, Modelling and control with piezo actuators for a simply supported beam under a moving mass, Journal of Sound and Vibration 250(4): 617-626.
4
[5] Nikkhoo A., Rofooei F. R., Shadnam M. R., 2007, Dynamic behavior and modal control of beams under moving mass, Journal of Sound and Vibration 306(3): 712-724.
5
[6] Prabakar R. S., Sujatha C., Narayanan S., 2009, Optimal semi-active preview control response of a half car vehicle model with magnetorheological damper, Journal of Sound and Vibration 326 (3): 400-420.
6
[7] Pisarski D., CzesŁaw I.B., 2010, Semi-active control of 1D continuum vibrations under a travelling load, Journal of Sound and Vibration 329(2): 140-149.
7
[8] Ryu B.J., Yong-Sik K., 2012, Dynamic Responses and Active Vibration Control of Beam Structures under a Travelling Mass, INTECH Open Access Publisher.
8
[9] Flanders S. W., Laura I.B., Melek Y., 1994, Alternate Neural Network Architectures for Beam Vibration Minimization, ASME-PUBLICATIONS-AD.
9
[10] Chen Ching I., Marcello R.N., James E.S., 1994, Active vibration control using the modified independent modal space control (MIMSC) algorithm and neural networks as state estimators, Journal of Intelligent Material Systems and Structures 5(4): 550-558.
10
[11] Smyser C.P., Chandrashekhara K., 1997, Robust vibration control of composite beams using piezoelectric devices and neural networks, Smart Materials and Structures 6(2): 178.
11
[12] Valoor Manish T., Chandrashekhara K., Sanjeev A., 2001, Self-adaptive vibration control of smart composite beams using recurrent neural architecture, International Journal of Solids and Structures 38(44): 7857-7874.
12
[13] Qiu Zh., Xiangtong Zh., Chunde Y., 2012, Vibration suppression of a flexible piezoelectric beam using BP neural network controller, Acta Mechanica Solida Sinica 25(4): 417-428.
13
[14] Ku Chao Ch., Kwang Y.L., 1995, Diagonal recurrent neural networks for dynamic systems control, IEEE Transactions on Neural Networks 6(1): 144-156.
14
[15] Li X., Wen Y., 2002, Dynamic system identification via recurrent multilayer perceptrons, Information Sciences 147(1): 45-63.
15
[16] Lin F-J., Hsin-Jang Sh., Po-Huang Sh., Po-Hung Sh., 2006, An adaptive recurrent-neural-network motion controller for XY table in CNC machine, IEEE Transactions on Systems, Man, and Cybernetics, Part B 36(2): 286-299.
16
[17] Lin F-J., Hsin-Jang Sh., Li-Tao T., Po-Huang Sh., 2005, Hybrid controller with recurrent neural network for magnetic levitation system, IEEE Transactions on Magnetics 41(7): 2260-2269.
17
[18] Pearlmutter Barak A., 1989, Learning state space trajectories in recurrent neural networks, Neural Computation 1(2): 263-269.
18
[19] Yu W., 2004, Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms, Information Sciences 158: 131-147.
19
[20] Haykin S., 1998, Neural Networks: A Comprehensive Foundation, Prentice Hall PTR.
20
[21] Kasparian V., Celal B., 1998, Model reference based neural network adaptive controller, ISA Transactions 37(1): 21-39.
21
ORIGINAL_ARTICLE
Free Vibration Analysis of Non-Uniform Circular Nanoplate
In this paper, axisymmetric free vibration analysis of a circular Nano-plate having variable thickness was studied. The variation in thickness of plate was considered as a linearly in radial direction. Nonlocal elasticity theory was utilized to take into account size-dependent effects. Ritz functions was utilized to obtain the frequency equations for simply supported and clamped boundary. To verify accuracy of Ritz method, differential transform method (DTM) also used to drive the size dependent natural frequencies of circular nano-plates. The validity of solutions was performed by comparing present results with those of the literature for both classical plate and nano plate. Effect of nonlocal parameter, mode number and taper parameter on the natural frequency are investigated. Results showed that taper parameter has significant effect on the non-dimensional frequency and its effects on the clamped boundary condition is more than simply support.
http://jsm.iau-arak.ac.ir/article_542598_f89a5410321fe2b3941f671469eeb54b.pdf
2018-06-30
400
415
Nonlocal theory
Axisymmetric vibration
Variable thickness plate
Ritz method
Differential transform method
M
Zarei
mehdi.zarei@modares.ac.ir
1
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
LEAD_AUTHOR
M
Ghalami-Choobar
2
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
AUTHOR
G.H
Rahimi
3
Department of Mechanical Engineering, Tarbiat Modares University (TMU), Tehran, Iran
AUTHOR
G.R
Faghani
4
Department of Mechanical Engineering, Khatam Al Anbia Air Defense University,Tehran, Iran
AUTHOR
[1] Sari M. S., Al-Kouz W. G., 2016, Vibration analysis of non-uniform orthotropic Kirchhoff plates resting on elastic foundation based on nonlocal elasticity theory, International Journal of Mechanical Sciences 114: 1-11.
1
[2] Sakhaee-Pour A., Ahmadian M. T., Vafai A., 2008, Applications of single-layered graphene sheets as mass sensors and atomistic dust detectors, Solid State Communications 145(4): 168-172.
2
[3] Arash B., Wang Q., 2012, A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes, Computational Materials Science 51(1): 303-313.
3
[4] Eom K., 2011, Simulations in Nanobiotechnology, CRC Press.
4
[5] Murmu T., Pradhan S. C., 2009, Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory, Journal of Applied Physics 105(6): 64319.
5
[6] Mindlin R. D., Eshel N. N., 1968, On first strain-gradient theories in linear elasticity, International Journal of Solids and Structures 4(1): 109-124.
6
[7] Mindlin R. D., 1965, Second gradient of strain and surface-tension in linear elasticity, International Journal of Solids and Structures 1(4): 417-438.
7
[8] Lam D. C. C., Yang F., Chong A. C. M., Wang J., Tong P., 2003, Experiments and theory in strain gradient elasticity, Journal of the Mechanics and Physics of Solids 51(8): 1477-1508.
8
[9] Ramezani S., 2012, A micro scale geometrically non-linear Timoshenko beam model based on strain gradient elasticity theory, International Journal of Non-Linear Mechanics 47(8): 863-873.
9
[10] Alibeigloo A., 2011, Free vibration analysis of nano-plate using three-dimensional theory of elasticity, Acta Mechanica 222(1-2): 149.
10
[11] Şimşek M., 2010, Dynamic analysis of an embedded micro beam carrying a moving micro particle based on the modified couple stress theory, International Journal of Engineering Science 48(12): 1721-1732.
11
[12] Sahmani S., Ansari R., Gholami R., Darvizeh A., 2013, Dynamic stability analysis of functionally graded higher-order shear deformable microshells based on the modified couple stress elasticity theory, Composites Part B: Engineering 51: 44-53.
12
[13] Toupin R. A., 1964, Theories of elasticity with couple-stress, Archive for Rational Mechanics and Analysis 17(2): 85-112.
13
[14] Yang F., Chong A. C. M., Lam D. C. C., Tong P., 2002, Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures 39(10): 2731-2743.
14
[15] Eringen A. C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54(9): 4703-4710
15
[16] Peddieson J., Buchanan G. R., McNitt R. P., 2003, Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science 41(3-5): 305-312.
16
[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(16): 5289-5300.
17
[18] Reddy J. N., 2007, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science 45(2-8): 288-307.
18
[19] Wang C. M., Zhang Y. Y., He X. Q., 2007, Vibration of nonlocal Timoshenko beams, Nanotechnology 18(10): 105401.
19
[20] Aghababaei R., Reddy J. N., 2009, Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates, Journal of Sound and Vibration 326(1-2): 277-289.
20
[21] Aksencer T., Aydogdu M., 2011, Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory, Physica E: Low-Dimensional Systems and Nanostructures 43(4): 954-959.
21
[22] Ansari R., Sahmani S., Arash B., 2010, Nonlocal plate model for free vibrations of single-layered graphene sheets, Physics Letters A 375(1): 53-62.
22
[23] Wang Y.-Z., Li F.-M., Kishimoto K., 2010, Scale effects on the longitudinal wave propagation in nanoplates, Physica E: Low-Dimensional Systems and Nanostructures 42 (5): 1356-1360.
23
[24] 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: 55-70.
24
[25] 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: 12-27.
25
[26] Hosseini-Hashemi S., Bedroud M., Nazemnezhad R., 2013, An exact analytical solution for free vibration of functionally graded circular/annular Mindlin nanoplates via nonlocal elasticity, Composite Structures 103: 108-118.
26
[27] Belkorissat I., Houari M. S. A., Tounsi A., Bedia E. A. A., Mahmoud S. R., 2015, On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model, Steel and Composite Structures 18(4): 1063-1081.
27
[28] Tornabene F., Fantuzzi N., Bacciocchi M., 2016, The local GDQ method for the natural frequencies of doubly-curved shells with variable thickness: A general formulation, Composites Part B: Engineering 92: 265-289.
28
[29] Behravan Rad A., Shariyat M., 2016,Thermo-magneto-elasticity analysis of variable thickness annular FGM plates with asymmetric shear and normal loads and non-uniform elastic foundations, Archives of Civil and Mechanical Engineering 16(3): 448-466.
29
[30] Arefi M., Rahimi G. H., 2012, Three-dimensional multi-field equations of a functionally graded piezoelectric thick shell with variable thickness, curvature and arbitrary nonhomogeneity, Acta Mechanica 223(1): 63-79.
30
[31] Farajpour A., Shahidi A. R., Mohammadi M., Mahzoon M., 2012, Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics, Composite Structures 94(5): 1605-1615.
31
[32] Farajpour A., Danesh M., Mohammadi M., 2011, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E: Low-Dimensional Systems and Nanostructures 44(3): 719-727.
32
[33] 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(1): 23-27.
33
[34] Şimşek M., 2012, Nonlocal effects in the free longitudinal vibration of axially functionally graded tapered nanorods, Computational Materials Science 61: 257-265.
34
[35] Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, Journal of Sound and Vibration 299(4-5): 720-738.
35
[36] Zhou J. K., 1986, Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China.
36
[37] Arikoglu A., Ozkol I., 2010, Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method, Composite Structures 92(12): 3031-3039.
37
[38] Mohammadi M., Farajpour A., Goodarzi M., Shehninezhad pour H., 2014, Numerical study of the effect of shear in-plane load on the vibration analysis of graphene sheet embedded in an elastic medium, Computational Materials Science 82: 510-520.
38
[39] 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(11):1062-1069.
39
[40] Behfar K., Naghdabadi R., 2005, Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium, Composites Science and Technology 65(7-8): 1159-1164.
40
[41] Mohammadimehr M., Saidi A. R., Ghorbanpour Arani A., Arefmanesh A., Han Q., 2011, Buckling analysis of double-walled carbon nanotubes embedded in an elastic medium under axial compression using non-local Timoshenko beam theory, Proceedings of the IMechE 225(2): 498-506.
41
[42] Ghorbanpour Arani A., Shiravand A., Rahi M., Kolahchi R., 2012, Nonlocal vibration of coupled DLGS systems embedded on Visco-Pasternak foundation, Physica B: Condensed Matter 407(21): 4123-4131.
42
[43] Bedroud M., Hosseini-Hashemi S., Nazemnezhad R., 2013, Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity, Acta Mechanica 224(11): 2663-2676.
43
[44] Ghorbanpour Arani A., Loghman A., Mosallaie Barzoki A.A., Kolahchi R., 2010, Elastic buckling analysis of ring and stringer-stiffened cylindercal shells under general pressure and axial compression via the Ritz method, Journal of Solid Mechanics 2(4): 332-347.
44
[45] Singh B., Saxena V., 1995, Axisymmetric vibration of a circular plate with double linear variable thickness, Journal of Sound and Vibration 179(5): 879-897.
45
[46] 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(1): 32-42.
46
[47] Lal R., Ahlawat N., 2015, Buckling and vibration of functionally graded non-uniform circular plates resting on Winkler foundation, Latin American Journal of Solids and Structures 12(12): 2231-2258.
47
[48] Anjomshoa A., 2013, Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory, Meccanica 48(1):1337-1353.
48
ORIGINAL_ARTICLE
Transversely Isotropic Magneto-Visco Thermoelastic Medium with Vacuum and without Energy Dissipation
In the present investigation the disturbances in a homogeneous transversely isotropic magneto-Visco thermoelastic rotating medium with two temperature due to thermomechanical sources has been addressed. The thermoelasticity theories developed by Green-Naghdi (Type II and Type III) both with and without energy dissipation has been applied to the thermomechanical sources. The Laplace and Fourier transform techniques have been applied to solve the present problem. As an application, the bounding surface is subjected to concentrated and distributed sources (mechanical and thermal sources). The analytical expressions of displacement, stress components, temperature change and induced magnetic field are obtained in the transformed domain. Numerical inversion techniques have been applied to obtain the results in the physical domain. Numerical simulated results are depicted graphically to show the effect of viscosity on the resulting quantities. Some special cases of interest are also deduced from the present investigation.
http://jsm.iau-arak.ac.ir/article_542599_6e0cb7009520cb23fcc3557f34deb212.pdf
2018-06-30
416
434
Transversely isotropic
Magneto-Visco thermoelastic
Laplace transform
Fourier transform
Concentrated and distributed sources
Rotation
R
Kumar
rajneesh_kuk@rediffmail.com
1
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana , India
AUTHOR
P
Kaushal
ms.priyankakaushal@gmail.com
2
Research Scholar ,IKG Panjab Technical University, Kapurthala ,Punjab, India
LEAD_AUTHOR
R
Sharma
3
Department of Mathematics, DAVIET, Jalandhar ,Punjab, India
AUTHOR
[1] Arani A.G., Salari M., Khademizadeh H., Arefmanesh A., 2009, Magneto thermoelastic transient response of a functionally graded thick hollow sphere subjected to magnetic and thermoelastic fields, Archieve of Applied Mechanics 79: 481.
1
[2] Atwa S.Y., Jahangir A., 2014, Two temperature effects on plane waves in generalized thermo micro stretch elastic solid, International Journal of Thermophysics 35: 175-193.
2
[3] AI-Basyouni K.S., Mahmoud S.E., Alzahrani E.O., 2014, Effect of rotation, magnetic field and a periodic loading on radial vibrations thermo-viscoelastic non-homogeneous media, Boundary Value Problems 2014: 166.
3
[4] Boley B.A., Tolins I.S., 1962, Transient coupled thermoelastic boundary value problem in the half space, Journal of Applied Mechanics 29: 637-646.
4
[5] Borrelli A., Patria M.C., 1991, General analysis of discontinuity waves in thermoviscoelastic solid of integral type, International Journal of Non-Linear Mechanics 26: 141.
5
[6] Chandrasekharaiah D. S., 1998, Hyperbolic thermoelasticity: A review of recent literature, Applied Mechanics Reviews 51: 705-729.
6
[7] Chen P.J., Gurtin M.E., 1968, On a theory of heat conduction involving two parameters, Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 19: 614-627.
7
[8] Chen P.J., Gurtin M.E., Williams W.O., 1968, A note on simple heat conduction, Journal of Applied Mathematics and Physics 19: 969-970.
8
[9] Chen P.J., Gurtin M.E., Williams W.O., 1969, On the thermodynamics of non-simple elastic materials with two temperatures, Journal of Applied Mathematics and Physics 20: 107-112.
9
[10] Corr D.T., Starr M.J.,Vanderky Jr.R., Best T.M., 2001, A nonlinear generalized Maxwell fluid Model, Journal of Applied Mechanics 68: 787-790.
10
[11] Das P., Kanoria M., 2014, Study of finite thermal waves in a magneto thermoelastic rotating medium, Journal of Thermal Stresses 37(4): 405-428.
11
[12] Dhaliwal R.S., Singh A., 1980, Dynamic Coupled Thermoelasticity, Hindustan Publisher Corp, New Delhi, India.
12
[13] Ezzat M.A., Awad E.S., 2010, Constitutive relations, uniqueness of solution and thermal shock application in the linear theory of micropolar generalized thermoelasticity involving two temperatures, Journal of Thermal Stresses 33(3): 225-250.
13
[14] Ezzat M.A., 1997, State approach to generalized magneto- thermoelasticity with two relaxation times in a medium of perfect conductivity, International Journal of Engineering Science 35: 741-752.
14
[15] Freudenthal A.M., 1954, Effect of rheological behavior on thermal stresses, Journal of Applied Physics 25: 1110-1117.
15
[16] Green A.E., Naghdi P.M., 1991, A re-examination of the basic postulates of thermomechanics, Proceedings of Royal Society of London A 432: 171-194.
16
[17] Green A.E., Naghdi P.M.,1992, On undamped heat waves in an elastic solid, Journal of Thermal Stresses 15: 253-264.
17
[18] Green A.E., Naghdi P.M., 1993, Thermoelasticity without energy dissipation, Journal of Elasticity 31: 189-208.
18
[19] Hilton H.H., 2014, Coupled longitudinal 1–d thermal and viscoelastic waves in media with temperature dependent material properties, Engineering Mechanics 21(4): 219-238.
19
[20] Honig G., Hirdes U., 1984, A method for the inversion of Laplace transform, Journal of Computational and Applied Mathematics 10: 113-132.
20
[21] Iesan D., Scalia A., 1989, Some theorems in the theory of thermo viscoelasticity, Journal of Thermal stresses 12: 225-239.
21
[22] Kaliski S., 1963, Absorption of magneto-viscoelastic surface waves in a real conductor magnetic field, Proceedings of Vibration Problems 4: 319-329.
22
[23] Kaushal S., Kumar R., Miglani A., 2011, Wave propagation in temperature rate dependent thermoelasticity with two temperatures, Mathematical Sciences 5: 125-146.
23
[24] Kaushal S., Sharma N., Kumar R., 2010, Propagation of waves in generalized thermoelastic continua with two temperature, International Journal of Applied Mechanics and Engineering 15: 1111-1127.
24
[25] Khademizadeh H., Arani A.G., Salari M., 2008, Stress analysis of magneto thermoelastic and induction magnetic field in FGM hallow sphere, Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering 1 (1): 49.
25
[26] Kumar R., Chawla V., Abbas I.A., 2012, Effect of viscosity on wave propagation in anisotropic thermoelastic medium with three-phase-lag model, Journal of Theoretical and Applied Mechanics 39(4): 313-341.
26
[27] Kumar R., Devi S., 2010, Magneto thermoelastic (Type-II and III) half-space in contact with vacuum, Applied Mathematical Sciences 69(4): 3413- 3424.
27
[28] Kumar R., Kansal T., 2010, Effect of rotation on Rayleigh lamb waves in an isotropic generalized thermoelastic diffusive plate, Journal of Applied Mechanics and Technical Physics 51(5): 751-761.
28
[29] Kumar R., Mukhopdhyay S., 2010, Effects of thermal relaxation times on plane wave propagation under two temperature thermoelasticity, International Journal of Engineering Sciences 48(2): 128-139.
29
[30] Kumar R., Rupender., 2009, Effect of rotation in magneto-micro polar thermoelastic medium due to mechanical and thermal sources, Chaos Solitons and Fractals 41: 1619-1633.
30
[31] Kumar R., Sharma K.D., Garg S.K., 2014, Effect of two temperature on reflection coefficient in micro polar thermoelastic media with and without energy dissipation, Advances in Acoustics and Vibrations 2014: 846721.
31
[32] Lofty K., Hassan W., 2013, Effect of rotation for two temperature generalized thermoelasticity of two dimensional unde thermal shock problem, Mathematical Problems in Engineering 2013: 297274.
32
[33] Mahmoud S.R., 2013, An analytical solution for effect of magnetic field and initial stress on an infinite generalized thermoelastic rotating non homogeneous diffusion medium, Abstract and Applied Analysis 2013: 284646.
33
[34] Othman M.I.A., Zidan M.E.M., Hilai M.I.M., 2013, Effect of rotation on thermoelastic material with voids and temperature dependent properties of type-III, Journal of Thermoelasticity 1(4):1-11.
34
[35] Pal P.C., 2000, A note on the torsional body forces in a viscoelastic half-space, Indian Journal of Pure and Applied Mathematics 31(2): 207-210.
35
[36] Press W.H., Teukolshy S.A., Vellerling W.T., Flannery B.P., 1986, Numerical Recipes in FORTRAN, Cambridge University Press, Cambridge.
36
[37] Quintanilla R., 2002, Thermoelasticity without energy dissipation of materials with microstructure, Journal of Applied Mathematical Modeling 26: 1125-1137.
37
[38] Sarkar N., Lahiri A., 2012, Temperature rate dependent generalized thermoelasticity with modified Ohm's law, International Journal of Computational Materials Science and Engineering 1(4): 1250031.
38
[39] Sharma N., Kumar R., Lata P., 2015, Disturbance due to inclined load in transversely isotropic thermoelastic medium with two temperatures and without energy dissipation, Material Physics and Mechanics 22: 107-117.
39
[40] Sharma K., Bhargava R.R., 2014, Propagation of thermoelastic plane waves at an imperfect boundary of thermal conducting viscous liquid/generalized thermoelastic solid, Afrika Matematika 25: 81-102.
40
[41] Sharma K., Marin M., 2013, Effect of distinct conductive and thermodynamic temperatures on the reflection of plane waves in micro polar elastic half-space, UPB Scientific Bulletin 75(2): 121-132.
41
[42] Sharma S., Sharma K., Bhargava R.R., 2013, Effect of viscosity on wave propagation in anisotropic thermoelastic with Green- Naghdi theory Type-II and Type-III, Materials Physics and Mechanics 16: 144-158.
42
[43] Singh B., Bala K., 2012, Propagation of waves in a two- temperature rotating thermoelastic solid half- space without energy dissipation, Applied Mathematics 3(12):1903.
43
[44] Slaughter W.S., 2002, The Linearized Theory of Elasticity, Birkhausar.
44
[45] Voigh W., 1887,Theoritishestudien under der Elastizitatsner – haltnirse der Kristalle, Abhandlungen der Akademie der Wissenschaften in Göttingen 34(3): 51.
45
[46] Warren W.E., Chen P.J., 1973, Wave propagation in the two temperature theory of thermoelasticity, Journal of Acta Mechanica 16: 21-33.
46
[47] Yadav R., Kalkal K.K., Deswal S., 2015, Two-temperature generalized thermo viscoelasticity with fractional order strain subjected to moving heat source: state space approach, Journal of Mathematics 2015: 487513.
47
[48] Youssef H.M., 2006, Theory of two temperature generalized thermoelasticity, IMA Journal of Applied Mathematics 71(3): 383-390.
48
[49] Youssef H.M., 2011, Theory of two - temperature thermoelasticity without energy dissipation, Journal of Thermal Stresses 34: 138-146.
49
ORIGINAL_ARTICLE
Thermoelastic Fracture Parameters for Anisotropic Plates
This paper deals with the determination of the effect of varying material properties on the value of the stress intensity factors, KI and KII, for anisotropic plates containing cracks and subjected to a temperature change. Problems involving cracks and body forces, as well as thermal loads are analysed. The quadratic isoperimetric element formulation is utilized, and SIFs may be directly obtained using the ‘traction formula’ and the ‘displacement formula’. Three cracked plate geometries are considered in this study, namely: (1) a plate with an edge-crack; (2) a plate with a double edge-crack; (3) a plate with symmetric cracks emanating from a central hole. Where appropriate, finite element method (FEM) analyses are also performed in order to validate the results of the BEM analysis. The results of this study show that, for all crack geometries, the mode-I stress intensity factor, K∗I decreases as the anisotropy of the material properties is increased. Additionally, for all these cases, K∗I decreases as the angle of orientation of the material properties, , increases with respect to the horizontal axis. The results also show that BEM is an accurate and efficient method for two-dimensional thermoelastic fracture mechanics analysis of cracked anisotropic bodies.
http://jsm.iau-arak.ac.ir/article_542600_614bf77647c1d5112896f07027cd9dd8.pdf
2018-06-30
435
449
Boundary element method
Stress intensity factors
Anisotropy
S
Kebdani
mechanics184@yahoo.com
1
Laboratoire de Mécanique Appliquée , Université des Sciences et de la Technologie d’Oran , Alegria
LEAD_AUTHOR
A
Sahli
2
Laboratoire de Mécanique Appliquée , Université des Sciences et de la Technologie d’Oran , Alegria---- Laboratoire de Recherche des Technologies Industrielles , Université Ibn Khaldoun de Tiaret , Alegria
AUTHOR
S
Sahli
3
Laboratoire de Recherche des Technologies Industrielles , Université Ibn Khaldoun de Tiaret , Alegria
AUTHOR
Sih G.C., Paris P.C., Irwin G.R., 1965, On cracks in rectilinearly anisotropic bodies, International Journal of Fracture Mechanics 1: 189-203.
1
[2] Bowie O.L., Freese C.E., 1972, Central crack in plane orthotropic rectangular sheet, Journal of Fracture Mechanics 1: 49-58.
2
[3] Ghandi K.R., 1972, Analysis of an inclined crack centrally placed in an orthotropic rectangular plate, Journal of Strain Analysis 7: 157-162.
3
[4] Rizzo F.J., Shippy D.J., 1970, A method for stress determination in plane anisotropic elastic bodies, Journal of Composite Materials 4: 36-61.
4
[5] Snyder M.D., Cruse T.A., 1975, Boundary-integral equation analysis of cracked anisotropic plates, International Journal of Fracture 11: 315-328.
5
[6] Sollero P., Alliabadi M.H., 1995, Anisotropic analysis of cracks in composite laminates using the dual boundary element method, Composite Structures 31: 229-237.
6
[7] Pan E., 1997, A general boundary element analysis of 2-D linear elastic fracture mechanics, International Journal of Fracture 88: 41-59.
7
[8] Haj-Ali R., Wei B. S., Johnson S., El-Hajjar R., 2008, Thermoelastic and infrared-thermography methods for surface strains in cracked orthotropic composite materials, Engineering Fracture Mechanics 75(1): 58-75.
8
[9] Shiah Y. C., Tan C. L., 2000, Fracture mechanics analysis in 2-D anisotropic thermoelasticity using BEM, Computer Modeling in Engineering & Sciences 1(3): 91-99.
9
[10] Pasternak I., 2012, Boundary integral equations and the boundary element method for fracture mechanics analysis in 2D anisotropic thermoelasticity, Engineering Analysis with Boundary Elements 36(12): 1931-1941.
10
[11] Ju S. H., Rowlands R. E., 2003, Thermoelastic determination of and in an orthotropic graphite–epoxy composite, Journal of Composite Materials 37(22): 2011-2025.
11
[12] Dag S., 2006, Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach, Engineering Fracture Mechanics 73(18): 2802-2828.
12
[13] Tan C.L., Gao Y.L., 1992, Boundary element analysis of plane anisotropic bodies with stress concentrations and cracks, Composite Structures 20: 17-28.
13
[14] Portela A., Aliabadi M.H., Rooke D.P., 1991, Efficient boundary element analysis of sharp notched plates, International Journal for Numerical Methods in Engineering 32: 445-470.
14
[15] Sollero P., Alliabadi M.H., 1993, Fracture mechanics analysis of anisotropic plates by the boundary element method, International Journal of Fracture 64: 269-284.
15
[16] Aliabadi M.H., Cartwright D.J., Rooke D.P., 1989, Fracture-mechanics weight functions by the removal of singular fields using boundary element analysis, International Journal of Fracture 40: 271-284.
16
[17] Portela A., Aliabadi M.H., Rooke D.P., 1991, Efficient boundary element analysis of sharp notched plates, International Journal for Numerical Methods in Engineering 32: 445-470.
17
[18] Solkonikoff I.S., 1956, Mathematical Theory of Elasticity, McGraw-Hill, New York.
18
[19] Zhang J.J., Tan C.L., Afagh F.F., 1996, A general exact transformation of body- force volume integral in BEM for 2D anisotropic elasticity, Computational Mechanics 19: 1-10.
19
[20] Zhang J.J., Tan C.L., Afagh F.F., 1997, Treatment of body-force volume integrals in BEM by exact transformation for 2-D anisotropic elasticity, International Journal for Numerical Methods in Engineering 40: 89-109.
20
[21] Pape D.A., Banerjee P.K., 1987, Treatment of body forces in 2D electrostatic BEM using particular integrals, Transactions of the ASME 54: 866-871.
21
[22] Shiah Y.C., Tan C.L., 1997, BEM treatment of two-dimensional anisotropic field problems by direct domain mapping, Engineering Analysis with Boundary Elements 20: 347-351.
22
[23] Shiah Y.C., Tan C.L., 1999, Exact boundary integral transformation of the thermoelastic domain integral in BEM for general 2D anisotropic elasticity, Computational Mechanics 23: 87-96.
23
[24] Shiah Y.C., Tan C.L., 2000, Determination of interior point stresses in two dimensional BEM thermoelastic analysis of anisotropic bodies, International Journal of Solids and Structures 37: 809-829.
24
[25] Shiah Y .C., Tan C.L., 2000, Fracture mechanics analysis in 2-D anisotropic thermoelasticity using BEM, Computer Modeling in Engineering & Sciences 3: 91-99.
25
[26] Deb A., Banerjee P.K., Wilson R.B., 1991, Alternate BEM formulations for 2- and 3-D anisotropic thermoelasticity, International Journal of Solids and Structures 27: 1721-1738.
26
[27] Deb A., Banerjee P.K., 1991, Multi-domain two- and three-dimensional thermoelasticity by BEM, International Journal for Numerical Methods in Engineering 32: 991-1008.
27
[28] De Saxce G., Kang C.H., 1992, Application of the hybrid mongrel displacement finite method to the computation of stress intensity factors in anisotropic material, Engineering Fracture Mechanics 41: 71-83.
28
[29] Zhang J.J., Tan C.L., Afagh F.F., 1996, An argument redefinition procedure in the BEM for 2D anisotropic electrostatics with body forces, Processing Symposium on Mechanics in Design, Toronto, Meguid.
29
ORIGINAL_ARTICLE
Elastic-Plastic Transition of Pressurized Functionally Graded Orthotropic Cylinder using Seth’s Transition Theory
In this paper the radial deformation and the corresponding stresses in a functionally graded orthotropic hollow cylinder with the variation in thickness and density according to power law and rotating about its axis under pressure is investigated by using Seth's transition theory. The material of the cylinder is assumed to be non-homogeneous and orthotropic. This theory helps to achieve better agreement between experimental and theoretical results. Results has been mentioned analytically and numerically. From the analysis, it has been concluded that cylinder made up of orthotropic material whose thickness increases radially and density decreases radially is on the safer side of the design as circumferential stresses are high for cylinder made up of isotropic material as compared to orthotropic material. This paper is based on elastic-plastic behavior which plays important role in practical design of structures for safety factor.
http://jsm.iau-arak.ac.ir/article_542601_f94320312aac1e599c5c8765c0e94f0b.pdf
2018-06-30
450
463
Elastic-plastic
Orthotropic
Pressure
Functionally graded material
Cylinder
S
Sharma
sanjiit12@rediffmail.com
1
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
LEAD_AUTHOR
R
Panchal
2
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
AUTHOR
[1] Bower A.F., 2009, Applied Mechanics of Solids, Taylor and Francis.
1
[2] Hearn E.J., 1997, Mechanics of Materials, Butterworth-Heinemann.
2
[3] Kim J.H., Paulino G.H., 2004, T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms, International Journal of Fracture 126: 345-384.
3
[4] Zenkour A.M., 2006, Rotating variable-thickness orthotropic cylinder containing a solid core of uniform-thickness, Archive Applied Mechanics 76: 89-102.
4
[5] Dag S., 2006, Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach, Engineering Fracture Mechanics 73: 2802-2828.
5
[6] Paschero M., Hyer M.W., 2009, Axial buckling of an orthotropic circular cylinder: Application to orthogrid conceptual, International Journal of Solids and Structures 46: 2151-2171.
6
[7] Wang H.M., 2010, Effect of material in-homogeneity on the rotating functionally of a graded orthotropic hollow cylinder, Journal of Mechanical Science and Technology 24(9): 1839-1844.
7
[8] Nie G.J., Batra R.C., 2010, Static deformations of functionally graded polar-orthotropic cylinders with elliptical inner and circular outer surfaces, Composites Science and Technology 70: 450-457.
8
[9] Sharma S., Yadav S., 2013, Thermo elastic-plastic analysis of rotating functionally graded stainless steel composite cylinder under internal and external pressure using finite difference method, Advances in Materials Science and Engineering 2013: 1-10.
9
[10] Gupta S.K., Bhardwaj P.C., 1986, Elastic plastic and creep transition in orthotropic rotating cylinder, Processing Indian National Science Academy 52(6): 1357-1369.
10
[11] Borah B.N., 2005, Thermo elastic plastic transition, Contemporary Mathematics 379: 93-111.
11
[12] Aggarwal A.K., Sharma R., Sharma S., 2013, Safety analysis using Lebesgue strain measure of thick-walled cylinder for functionally graded material under internal and external pressure, The Scientific World Journal 2013: 1-10.
12
[13] Sharma S., Sahai I., Kumar R. , 2014, Thermo elastic-plastic transition of transversely isotropic thick-walled circular cylinder under internal and external pressure, Multidiscipline Modeling in Materials and Structures 10: 211-227.
13
[14] Sharma S., Yadav S., Sharma R., 2017, Thermal creep analysis of functionally graded thick-walled cylinder subjected to torsion and internal and external pressure, Journal of Solid Mechanics 9(2): 302-318.
14