ORIGINAL_ARTICLE
Analysis of Viscoelastic Functionally Graded Sandwich Plates with CNT Reinforced Composite Face Sheets on Viscoelastic Foundation
In this article, bending, buckling, and free vibration of viscoelastic sandwich plate with carbon nanotubes reinforced composite facesheets and an isotropic homogeneous core on viscoelastic foundation are presented using a new first order shear deformation theory. According to this theory, the number of unknown’s parameters and governing equations are reduced and also the using of shear correction factor is not necessary because the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. The governing equations obtained using Hamilton’s principle is solved for a rectangular viscoelastic sandwich plate. The effects of the main parameters on the vibration characteristics of the viscoelastic sandwich plates are also elucidated. The results show that the frequency significantly decreases with using foundation and increasing the viscoelastic structural damping coefficient as well as the damping coefficient of materials and foundation.
http://jsm.iau-arak.ac.ir/article_668608_b33f4af4905ff4be3afd5b0759e29604.pdf
2019-12-01
690
706
10.22034/jsm.2019.668608
Viscoelastic sandwich plate
Carbon nanotube reinforcement
New first order shear deformation theory
Bending
Buckling
Free vibration
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
1
Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran -----Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran
LEAD_AUTHOR
M
Emdadi
2
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran
AUTHOR
H
Ashrafi
hhashrafi@gmail.com
3
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran
AUTHOR
M
Mohammadimehr
mmohammadimehr@kashanu.ac.ir
4
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran
AUTHOR
S
Niknejad
5
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan, Kashan , Iran
AUTHOR
A.A
Ghorbanpour Arani
6
School of Mechnical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
A
Hosseinpour
7
Department of Mechanical Engineering and Engineering Science, University of North Carolina at Charlotte, USA
AUTHOR
[1] Vinson J.R., 2001, Sandwich structures, Apply Mechanic 54: 201-214.
1
[2] Sun C.H., Li F., Cheng H.M., Lu G.Q., 2005, Axial Young’s modulus prediction of single walled carbon nanotube arrays with diameters from nanometer to meter scales, Apply Physics 87:193-201.
2
[3] Jia J., Zhao J., Xu G., Di J., Yong Z., TaoY., Fang C., Zhang Z., Zhang X., Zheng L., 2011, A comparison of the mechanical properties of fibers spun from different carbon nanotubes, Carbon 49: 1333-1339.
3
[4] Whitney J., 1972, Stress analysis of thick laminated composite and sandwich plates, Journal of Composite Materials 6: 426-440.
4
[5] Zenkour A., 2005, A comprehensive analysis of functionally graded sandwich plates: Part 1 - deflection and stresses, International Journal of Solids and Structures 42: 5224-5242.
5
[6] Ugale V., Singh K., Mishra N., 2013, Comparative study of carbon fabric reinforced and glass fabric reinforced thin sandwich panels under impact and static loading, Composite Materials 49: 99-112.
6
[7] Thostenson E., Chou T-W., 2002, Aligned multi-walled carbon nanotube-reinforced composites, Processing and Mechanical Characterization, Apply Physics 35: L77.
7
[8] Zhu P., Lei Z., Liew K., 2012, Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory, Composite Structure 94: 1450-1460.
8
[9] Mohammadimehr M., Navi B., Arani A., 2014, Biaxial buckling and bending of smart nanocomposite plate reinforced by cnts using extended mixture rule approach, Mechanics of Advanced Composite Structures 1: 17-26.
9
[10] Arani A., Maghamikia S., Mohammadimehr M., Arefmanesh A., 2011, Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods, Journal of Mechanical Science and Technology 25: 809-820.
10
[11] Arani A., Jafari G-S., 2015, Nonlinear vibration analysis of laminated composite mindlin micro/nano-plates resting on orthotropic pasternak medium using DQM, Advances in Applied Mathematics and Mechanics 36: 1033-1044.
11
[12] ZenkourA., Sobhy M., 2010, Thermal buckling of various types of FGM sandwich plates, Composite Structures 93: 93-102.
12
[13] Sobhy M., 2013, Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions, Composite Structures 99: 76-87.
13
[14] Thai H-T., Nguyen T-K., Thuc P., Lee J., 2014, Analysis of functionally graded sandwich plates using a new first-order shear deformation theory, European Journal of Mechanics A/Solids 45: 211-225.
14
[15] Zhang L.W., Lei Z.X., Liew K.M., 2015, An element-free IMLS-Ritz framework for buckling analysis of FG–CNT reinforced composite thick plates resting on Winkler foundations, Engineering Analysis with Boundary Elements 58: 7-17.
15
[16] Shen H-S., 2009, Nonlinear bending of functionally graded carbon nanotube- reinforced composite plates in thermal environments, Composite Structures 91: 9-19.
16
[17] Lei Z.X., Liew K.M., Yu J.L., 2013, Large deflection analysis of functionally graded carbon nanotubes reinforced composite plates by the element-free kp-Ritz method, Computer Methods in Applied Mechanics and Engineering 256: 89-99.
17
[18] Zhang L.W., Lei Z.X., Liew K.M., Yu J.L., 2014, Largedeflection geometrically nonlinear analysis of carbon nanotubes reinforced functionally graded cylindrical panels, Computer Methods in Applied Mechanics and Engineering 273: 1-18.
18
[19] Lei Z.X., Liew K.M., Yu J.L., 2013, Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method, Composite Structures 98: 160-168.
19
[20] Lei Z.X., Zhang L.W., Liew K., Yu J.L., 2013, Dynamic stability analysis of carbon nanotubes reinforced functionally graded cylindrical panels using the element- free kp-Ritz method, Composite Structures 113: 328-338.
20
[21] Srivastava I., Yu Z.Z., Koratkar N.A., 2012, Viscoelastic properties of graphene–polymer composites, Advanced Science, Engineering and Medicine 4: 10-14.
21
[22] Su Y., Wei H., Gao R., Yang Z., Zhang J., Zhong Z., 2012, Exceptional negative thermal expansion and viscoelastic properties of graphene oxide paper, Carbon 50: 2804-2809.
22
[23] Pouresmaeeli S., Ghavanloo E., Fazelzadeh S.A., 2013, Vibration analysis of viscoelastic orthotropic nanoplates resting on viscoelastic medium, Composite Structures 96: 405-410.
23
[24] Natarajana S., Haboussib M., Ganapathic M., 2014, Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets, Composite Structures 113: 197-207.
24
[25] Malekzadeh P., Shojaee M., 2013, Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers, Thin-Walled Structures 71: 108-118.
25
[26] Drozdov A.D., 1998, Viscoelastic Structures: Mechanics of Growth and Aging, San Diego, Academic Press.
26
[27] Shen H-S., Zhang C-L., 2010, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Materials and Design 31: 3403-3411.
27
[28] Wang Z-X., Shen H-S., 2012, Nonlinear vibration and bending of sandwich plates with nanotube reinforced composite, Composites Part B: Engineering 43: 411-421.
28
[29] Ghavanloo E., Fazelzadeh S. A., 2011, Flow-thermoelastic vibration and instability analysis of viscoelastic carbon nanotubes embedded in viscous fluid, Physica E 44: 17-24.
29
ORIGINAL_ARTICLE
Dispersion of Torsional Surface Wave in a Pre-Stressed Heterogeneous Layer Sandwiched Between Anisotropic Porous Half-Spaces Under Gravity
The study of surface waves in a layered media has their viable application in geophysical prospecting. This paper presents an analytical study on the dispersion of torsional surface wave in a pre-stressed heterogeneous layer sandwiched between a pre-stressed anisotropic porous semi-infinite medium and gravitating anisotropic porous half-space. The non-homogeneity within the intermediate layer and upper semi-infinite medium is assumed to rise up, because of quadratic variation and exponential variation in directional rigidity, pre-stress, and density respectively. The displacement dispersion equation for the torsional wave velocity has been expressed in the term of Whitaker function and their derivatives. Dispersion relation and the closed-form solutions have been obtained analytically for the displacement in the layer and the half-spaces. It is determined that the existing geometry allows torsional surface waves to propagate and the observe exhibits that the layer width, layer inhomogeneity, frequency of heterogeneity in the heterogeneous medium has a great impact on the propagation of the torsional surface wave. The influence of inhomogeneities on torsional wave velocity is also mentioned graphically by means plotting the dimensionless phase velocity against non-dimensional wave number for distinct values of inhomogeneity parameters.
http://jsm.iau-arak.ac.ir/article_668609_bdc1c8831d08fd9bcae8e90abc19994e.pdf
2019-12-01
707
723
10.22034/jsm.2019.668609
Torsional surface wave
Anisotropic
Pre-stress
Porosity
Inhomogeneity
Gravity
R.M
Prasad
ratanmaniprasad@gmail.com
1
Department of Mathematics , S. N. Sinha College, Tekari, Magadh University, Bodh-Gaya, India
LEAD_AUTHOR
S
Kundu
2
Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
AUTHOR
[1] Meissner R., 2002, The Little Book of Planet Earth, Springer-Verlag, New York.
1
[2] Chattopadhyay A., Gupta S., Kumari P., 2011, Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half-space, Meccanica 46: 671-680.
2
[3] Gupta S., Majhi D.K., Kundu S., Vishwakarma S.K., 2013, Propagation of Love waves in non-homogeneous substratum over initially stressed heterogeneous half-space, Applied Mathematics and Mechanics 34(2): 249-258.
3
[4] Gupta S., Kundu S., Verma A.K., Verma R., 2010, Propagation of S-waves in a non-homogeneous anisotropic incompressible and initially stressed medium, International Journal of Engineering Science and Technology 2(2): 31-42.
4
[5] Dey S., Gupta S., Gupta A.K., Prasad A.M., 2001, Propagation of torsional surface waves in a heterogeneous half-space under a rigid layer, Acta Geophysica Polonica 49(1): 113-118.
5
[6] Kumari P., Sharma V.K., 2014, Propagation of torsional waves in a viscoelastic layer over an inhomogeneous half space, Acta Mechanica 225: 1673-1684.
6
[7] Biot M.A., 1941, General theory of three-dimensional consolidation, Journal of Applied Physics 12(2): 155-164.
7
[8] Biot M.A., 1956, Theory of propagation of elastic wave in a fluid-saturated porous solid, Journal of Acoustical Society of America 28(2): 168-178.
8
[9] Wang H., Tian J., 2014, Acoustoeelastic theory for fluid-saturates porous media, Acta Mechanica Solida Sinica 27(2): 41-53.
9
[10] Arani A.G., Zamani M.H., 2018, Nonlocal free vibration analysis of FG-porous shear and normal deformable sandwich nanoplate with piezoelectric face sheets resting on silica aerogel foundation, Arabian Journal for Science and Engineering 43: 4675-4688.
10
[11] Arani A.G., Khani M, Maraghi Z.K.., 2017, Dynamic analysis of a rectangular porous plate resting on an elastic foundation using high-order shear deformation theory, Journal of Vibration and Control 24: 3698-3713.
11
[12] Chattaraj R., Samal S.K., 2016, On dispersion of Love type surface wave in anisotropic porous layer with periodic non uniform boundary surface, Meccanica 51(9): 2215-2224.
12
[13] Konczak Z., 1989, The propagation of Love waves in a fluid-saturated porous anisotropic layer, Acta Mechanica 79: 155-168.
13
[14] Saroj P.K., Sahu S.A., 2017, Reflection of plane wave at traction-ffree surface of a pre-stressed functionally graded piezoelectric material (FGPM) half-space, Journal of Solid Mechanics 9(2): 411-422.
14
[15] Ke L.L., Wang J.S., Zhang Z.M., 2006, Love wave in an inhomogeneous fluid porous layered half-space with linearly varying properties, Soil Dynamics and Earthquake Engineering 26: 574-581.
15
[16] Prasad R.M., Kundu S. 2017, Torsional surface wave dispersion in pre-stressed dry sandy layer over a gravitating anisotropic porous half-space, Zeitschrift für Angewandte Mathematik und Mechanik 97(5): 550-560.
16
[17] Ghorai A.P., Samal S.K., Mahanti N.C., 2010, Love waves in a fluid-saturated porous layer under a rigid boundary and lying over an elastic half-space under gravity, Applied Mathematical Modelling 34: 1873-1883.
17
[18] Gupta S., Vishwakarma S.K., Majhi D.K., Kundu S., 2013, Possibility of Love wave propagation in a porous layer under the effect of linearly varying directional rigidities, Applied Mathematical Modelling 37: 6652-6660.
18
[19] Arani A.G., Maraghi Z.K.., Khani M., Alinaghian I., 2017, Free vibration of embedded porous plate using third-order shear deformation and poroelasticity theories, Journal of Engineering 2017:1474916.
19
[20] Biot M.A., 1965, Mechanics of Incremental Deformation, John Wiley and Sons, New York.
20
[21] Whittaker E.T., Watson G.N., 1991, Acourse of Modern Analysis, Cambridge University Press, Cambridge.
21
[22] Samal S.K., Chattaraj R., 2011, Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half-space and uniform liquid layer, Acta Geophysica 59(3): 470-482.
22
[23] Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge, New york.
23
ORIGINAL_ARTICLE
Analysis of Thermal-Bending Stresses in a Simply Supported Annular Sector Plate
The present article deals with the analysis of thermal-bending stresses in a heated thin annular sector plate with simply supported boundary condition under transient temperature distribution using Berger’s approximate methods. The sectional heat supply is on the top face of the plate whereas the bottom face is kept at zero temperature. In this study, the solution of heat conduction is obtained by the classical method. The thermal moment is derived on the basis of temperature distribution, and its stresses are obtained using thermally induce resultant moment and resultant forces. The numerical calculations are obtained for the aluminium plate in the form of an infinite series involving Bessel functions, and the results for temperature, deflection, resultant bending moments and thermal stresses have been illustrated graphically with the help of MATHEMATICA software.
http://jsm.iau-arak.ac.ir/article_668610_55307499a94fad6acdbeda5a35bca7b5.pdf
2019-12-30
724
735
10.22034/jsm.2019.566121.1275
Heat conduction
Annular sector
Thin plate
Thermal deflection
Stresses
T
Dhakate
1
Department of Mathematics, Mahatma Gandhi Science College, Armori, Gadchiroli, India
AUTHOR
V
Varghese
vino7997@gmail.com
2
Department of Mathematics, Sushilabai Bharti Science College, Arni, Yavatmal, India
LEAD_AUTHOR
L
Khalsa
3
Department of Mathematics, Mahatma Gandhi Science College, Armori, Gadchiroli, India
AUTHOR
[1] Hetnarski R. B.,2012, Encyclopedia of Thermal Stresses, Springer.
1
[2] Nowacki W., 1962, Thermoelasticity, Addison Wesley, NY.
2
[3] Chia C. Y., 1978, Nonlinear Analysis of Plates, McGraw Hill.
3
[4] Berger H.M.,1955, A new approach to an analysis of large deflection of plates, Journal of Applied Mechanics 22: 465-472.
4
[5] Tauchert T. R., 2014, Large Plate Deflections, Berger’s Approximation, Encyclopedia of Thermal Stresses, Springer, Dordrecht.
5
[6] Basuli S., 1968, Large deflection of plate problems subjected to normal pressure and heating, Indian Journal of Mechanics and Mathematics 6(1): 1-14.
6
[7] Biswas P., 1976, Large deflection of a heated semi-circular plate under stationary temperature distribution, Proceedings Mathematical Sciences 83(5): 167-174.
7
[8] Datta S., 1976, Large deflection of a semi-circular plate on elastic foundation under a uniform load, Proceedings of the Indian Academy of Sciences - Section A 83(1): 21-32.
8
[9] Nowinski J.L., Ohnabe H., 1972, On certain inconsistencies in Berger equations for large deflections of elastic plates, International Journal of Mechanical Sciences 14: 165-170.
9
[10] Iwinski T., Nowinski J. L., 1957, The problem of large deflections of orthotropic plates, Archiwum Mechaniki Stosowanej 9: 593-603.
10
[11] Nowinski J. L., 1958, MRC Technical Summary Report No.34, Mathematics Research Center, US Army University of Wisconsin.
11
[12] Nowinski J. L., 1958, MRC Technical Summary Report No.42, Mathematics Research Center, US Army University of Wisconsin.
12
[13] Nowinski J. L., 1958, MRC Technical Summary Report No.67, Mathematics Research Center, US Army University of Wisconsin.
13
[14] Okumura I.A., Honda Y., Yoshimura J., 1989, An analysis for thermal-bending stresses in an annular sector by the theory of moderately thick plates, Structural Engineering 6(2): 347-356.
14
[15] Wang C.M., Lim G.T., 2000, Bending solutions of sectorial Mindlin plates from Kirchhoff plates, Journal of Engineering Mechanics 126(4): 367-372.
15
[16] Golmakani M.E., Kadkhodayan M., 2013, Large deflection thermoelastic analysis of functionally graded stiffened annular sector plates, International Journal of Mechanical Sciences 69(1): 94–106.
16
[17] Eren I., 2013, Analyses of large deflections of simply supported nonlinear beams, for various arc length functions, Arabian Journal for Science and Engineering 38(4): 947-952.
17
[18] Sitar M., Kosel F., Brojan M., 2014, A simple method for determining large deflection states of arbitrarily curved planar elastica, Archive of Applied Mechanics 84(2): 263-275.
18
[19] Bakker M.C.M., Rosmanit M., Hofmeyer H., 2008, Approximate large-deflection analysis of simply supported rectangular plates under transverse loading using plate post-buckling solutions, Thin-Walled Structures 46(11): 1224-1235.
19
[20] Jang T.S., 2014, A general method for analysing moderately large deflections of a non-uniform beam: an infinite Bernoulli-Euler-von Kármán beam on a nonlinear elastic foundation, Acta Mechanica 225(7): 1967-1984.
20
[21] Choi I.H., 2017, Low-velocity impact response analysis of composite pressure vessel considering stiffness change due to cylinder stress, Composite Structures 160(15): 491-502.
21
[22] Bhad P., Varghese V., Khalsa L., 2017, A modified approach for the thermoelastic large deflection in the elliptical plate, Archive of Applied Mechanics 87(4): 767-781.
22
[23] Boley B. A., Weiner J.H., 1960, Theory of Thermal Stresses, John Wiley and Sons, New York.
23
[24] Ventsel E., Krauthammer T., 2001, Thin Plates and Shells-Theory Analysis, and Applications Marcel Dekker, New York.
24
[25] Wang M. Z., Xu X.S.,1990, A generalization of Almansi’s theorem and its application, Applied Mathematical Modelling 14: 275-279.
25
ORIGINAL_ARTICLE
Investigating the Effect of Joint Geometry of the Gas Tungsten Arc Welding Process on the Residual Stress and Distortion using the Finite Element Method
Although a few models have been proposed for 3D simulation of different welding processes, 2D models are still more effective in design goals, thus more popular due to the short-time analysis. In this research, replacing "time" by the "third dimension of place", the gas tungsten arc welding process was simulated by the finite element method in two dimensions and in a short time with acceptable accuracy in two steps (non-coupled thermal and mechanical analysis). A new method was proposed for applying initial conditions using temperature values calculated in the preceding step of the solution; this trick reduces nonlinear effects of birth of elements and considerably reduces analysis time. A new parameter was defined for determining thermal boundary conditions to determine the contribution of the imposed surface and volumetric thermal loads. The effect of weld joint geometry on residual stresses and distortion was studied based on a validated simulation program. Results suggest that changing the joint geometry from V-into X-groove, the maximum values of residual stress and distortion are reduced by 20% and 15%, respectively.
http://jsm.iau-arak.ac.ir/article_668764_9ab74821b88913b383ef1963a58a9e9e.pdf
2019-12-30
736
746
10.22034/jsm.2019.668764
Gas tungsten arc welding
Joint geometry
Residual stress
Distortion
Finite Element Method
A
Shiri
1
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran
AUTHOR
A
Heidari
heidari@iaukhsh.ac.ir
2
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran
LEAD_AUTHOR
[1] Rajabi H., Heidari A., 2018, Analysis and presenting an optimum post weld heat treatment cycle to maximum reduction of residual stresses of electron beam welding, Journal of Mechanical Engineering and Vibration 9(2): 55-65.
1
[2] Zubairuddin M., Albert S. K., Vasudevan M., Mahadevan S., Chaudhari V., Suri V. K., 2017, Numerical simulation of multi-pass GTA welding of grade 91 steel, Journal of Manufacturing Processes 27: 87-97.
2
[3] Forouzan M.R., Mirfalah Nasiri S.M., Mokhtari A., Heidari A., Golestaneh S.J., 2012, Residual stress prediction in submerged arc welded spiral pipes, Materials & Design 33: 384-394.
3
[4] Portelette L., Roux J.-C., Robin V., Feulvarch E., 2017, A Gaussian surrogate model for residual stresses induced by orbital multi-pass TIG welding, Computers & Structures 183: 27-37.
4
[5] Chaudhary S., Sahu S.A., Singhal A., 2018, On secular equation of SH waves propagating in pre-stressed and rotating piezo-composite structure with imperfect interface, Journal of Intelligent Material Systems and Structures 29(10): 2223-2235.
5
[6] Cho S.H., Kim J.W., 2002, Analysis of residual stress in carbon steel weldment incorporating phase transformations, Science and Technology of Welding and Joining 7(4): 212-216.
6
[7] Chang P.-H., Teng T.-L., 2004, Numerical and experimental investigations on the residual stresses of the butt-welded joints, Computational Materials Science 29(4): 511-522.
7
[8] Yajiang L., Juan W., Maoai C., Xiaoqin S., 2004, Finite element analysis of residual stress in the welded zone of a high strength steel, Bulletin of Materials Science 27(2): 127-132.
8
[9] Vasudevan M., 2007, Computational and Experimental Studies on Arc Welded Austenitic Stainless Steel, Ph.D. Thesis, Indian Institute of Technology, Madras, India.
9
[10] Palanichamy P., Vasudevan M., Jayakumar T., 2009, Measurement of residual stresses in austenitic stainless steel weld joints using ultrasonic technique, Science and Technology of Welding and Joining 14(2): 166-171.
10
[11] Tseng K.-H., Hsu C.-Y., 2011, Performance of activated TIG process in austenitic stainless steel welds, Journal of Materials Processing Technology 211(3): 503-512.
11
[12] Ganesh K.C., Vasudevan M., Balasubramanian K.R., Chandrasekhar N., Mahadevan S., Vasantharaja P., Jayakumar T., 2014, Modeling, prediction and validation of thermal cycles, residual stresses and distortion in Type 316 LN stainless steel weld joint made by TIG welding process, Procedia Engineering 86: 767-774.
12
[13] Bhatti A.A., Barsoum Z., Murakawa H., Barsoum I., 2015, Influence of thermo-mechanical material properties of different steel grades on welding residual stresses and angular distortion, Materials & Design 65: 878-889.
13
[14] Vasantharaja P., Vasudevan M., Palanichamy P., 2015, Effect of welding processes on the residual stress and distortion in type 316LN stainless steel weld joints, Journal of Manufacturing Processes 19: 187-193.
14
[15] Varma Prasad V.M., Joy Varghese V.M., Suresh M.R., Siva Kumar D., 2016, 3D simulation of residual stress developed during TIG welding of stainless steel pipes, Procedia Technology 24: 364-371.
15
[16] Bajpei T., Chelladurai H., and Ansari M. Z., 2016, Mitigation of residual stresses and distortions in thin aluminium alloy GMAW plates using different heat sink models, Journal of Manufacturing Processes 22: 199-210.
16
[17] Sahu S.A., Singhal A., Chaudhary S., 2018, Surface wave propagation in functionally graded piezoelectric material: An analytical solution, Journal of Intelligent Material Systems and Structures 29(3): 423-437.
17
[18] Wen S.W., Hilton P., Farrugia D.C. J., 2001, Finite element modelling of a submerged arc welding process, Journal of Materials Processing Technology 119(1-3): 203-209.
18
[19] Golestaneh S.J., Ismail N., Ariffin M.K.A.M., Tang S.H., Forouzan M.R., Maghsoudi A.A., Firoozi Z., 2014, Minimization of residual stresses in submerged arc welding process of oil and gas steel pipes by committee machine, Applied Mechanics and Materials 564: 519-524.
19
[20] Forouzan M.R., Heidari A., Golestaneh S.J., 2009, FE simulation of submerged arc welding of API 5L-X70 straight seam oil and gas pipes, Journal of Computational Methods in Engineering 28(1): 93-110.
20
[21] Singh M.K., Sahu S.A., Singhal A., Chaudhary S., 2018, Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method, Journal of Intelligent Material Systems and Structures 29(18): 3582-3597.
21
[22] Gery D., Long H., Maropoulos P., 2005, Effects of welding speed, energy input and heat source distribution on temperature variations in butt joint welding, Journal of Materials Processing Technology 167(2-3): 393-401.
22
[23] Mazruei G., Heidari A., 2016, A new plan to connect aluminum tubes of subsurface structures, Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering 9(3): 455-466.
23
[24] Da Nóbrega J., Diniz D., Silva A., Maciel T., de Albuquerque V., Tavares J., 2016, Numerical evaluation of temperature field and residual stresses in an API 5L X80 steel welded joint using the finite element method, Metals 6(2): 28.
24
[25] Jia X., Xu J., Liu Z., Huang S., Fan Y., Sun Z., 2014, A new method to estimate heat source parameters in gas metal arc welding simulation process, Fusion Engineering and Design 89(1): 40-48.
25
[26] Nasim K., Arif A.F.M., Al-Nassar Y.N., Anis M., 2015, Investigation of residual stress development in spiral welded pipe, Journal of Materials Processing Technology 215: 225-238.
26
[27] Shen J., Chen Z., 2014, Welding simulation of fillet-welded joint using shell elements with section integration, Journal of Materials Processing Technology 214(11): 2529-2536.
27
ORIGINAL_ARTICLE
Semi-Active Pulse-Switching SSDC Vibration Suppression using Magnetostrictive Materials
One of the best vibration control methods using smart actuators are semi-active approaches which are as strong as active methods and need no external energy supply such as passive ones. Compared with piezoelectric-based, magnetostrictive-based control methods have higher coupling efficiency, higher Curie temperature, higher flexibility to be integrated with curved structures and no depolarization problems. Semi-active methods are well-developed for piezoelectrics but magnetostrictive-based approaches are not as efficient, powerful and well-known as piezoelectric-based methods. The aim of this work is to propose a powerful semi-active control method using magnetostrictive actuators. In this paper a new type of semi-active suppression methods using magnetostrictive materials is introduced which contains an equipped vibrating structure with magnetostrictive patches wound by a pick-up coil connected to an electronic switch and a capacitor. The novelty of the proposed damping method is switching on the coil current signal using mentioned switch and capacitor which is briefly named SSDC (synchronized switch damping on capacitor). In this paper the characteristics of the semi-active pulse-switching damping technique with magnetostrictive materials are studied and numerical results show significant damping for almost all types of excitations.
http://jsm.iau-arak.ac.ir/article_668829_5edce31feee4db4de87d7197c74f2391.pdf
2019-12-30
747
758
10.22034/jsm.2019.668829
Pulse-switching
Magnetostrictive materials
Semi-active
Vibration control
S
Mohammadi
1
Mechanical Engineering Department, Razi University, Kermanshah, Iran
AUTHOR
S
Hatam
salar.hatam@yahoo.com
2
Mechanical Engineering Department, Razi University, Kermanshah, Iran
LEAD_AUTHOR
A
Khodayari
3
Mechanical Engineering Department, Razi University, Kermanshah, Iran
AUTHOR
[1] Davis C.L., Lesieutre G.A., 2000, An actively tuned solid-state vibration absorber using capacitive shunting of piezoelectric stiffness, Journal of Sound and Vibration 232: 601-617.
1
[2] Rao M.D., 2003, Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes, Journal of Sound and Vibration 262: 457-474.
2
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36
ORIGINAL_ARTICLE
Pull-In Instability of MSGT Piezoelectric Polymeric FG-SWCNTs Reinforced Nanocomposite Considering Surface Stress Effect
In this paper, the pull-in instability of piezoelectric polymeric nanocomposite plates reinforced by functionally graded single-walled carbon nanotubes (FG-SWCNTs) based on modified strain gradient theory (MSGT) is investigated. Various types of SWCNTs are distributed in piezoelectric polymeric plate and also surface stress effect is considered in this research. The piezoelectric polymeric nanocomposite plate is subjected to electro-magneto-mechanical loadings. The nonlinear governing equations are derived from Hamilton's principle. Then, pull-in voltage and natural frequency of the piezoelectric polymeric nanocomposite plates are calculated by Newton-Raphson method. There is a good agreement between the obtained and other researcher results. The results show that the pull-in voltage and natural frequency increase with increasing of applied voltage, magnetic field, FG-SWCNTs orientation angle and small scale parameters and decrease with increasing of van der Waals and Casimir forces, residual surface stress constant. Furthermore, highest and lowest pull-in voltages are belonging to FG-X and FG-O distribution types of SWCNTs.
http://jsm.iau-arak.ac.ir/article_668611_af358a8d9cd3410dce9a6885892b6386.pdf
2019-12-30
759
777
10.22034/jsm.2019.668611
Pull-in instability
Piezoelectric polymeric nanocomposite plates
Surface stress effect
Modified strain gradient theory (MSGT)
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
1
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran----Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran
AUTHOR
B
Rousta Navi
2
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
M
Mohammadimehr
mmohammadimehr@kashanu.ac.ir
3
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
S
Niknejad
4
Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
A.A
Ghorbanpour Arani
5
School of Mechnical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
A
Hosseinpour
6
Department of Mechanical Engineering and Engineering Science,University of North Carolina at Charlotte, USA
AUTHOR
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63
ORIGINAL_ARTICLE
Impact of Initial Stress on Reflection and Transmission of SV-Wave between Two Orthotropic Thermoelastic Half-Spaces
Reflection and transmission of plane waves between two initially stressed thermoelastic half-spaces with orthotropic type of anisotropy is studied. Incidence of a SV-type wave from the lower half-space is considered and the amplitude ratios of the reflected and transmitted SV-wave, P-wave and thermal wave are obtained by using appropriate boundary conditions. Numerical computation for a particular model is performed and graphs are plotted to study the effect of angle of incidence of the wave and the initial stress parameters of the half-spaces. From the graphical results, it is found that the modulus of reflection and transmission coefficients of the thermal wave is very less in comparison to reflection and transmission coefficients of P- and SV-waves. It is also observed that for vertical incidence of SV-wave we have only reflected and refracted SV-waves and there is no reflected or refracted P and thermal waves, whereas for horizontal incidence of SV-wave there exists only reflected SV-wave and no other reflected or transmitted wave exists. Moreover, it is found that all the reflection and transmission coefficients are strongly affected by the initial stress parameters of the both half-spaces.
http://jsm.iau-arak.ac.ir/article_668613_71f8acfc0c2864e7530543bf5445697e.pdf
2019-12-30
778
789
10.22034/jsm.2019.572416.1307
Thermal wave
Anisotropic
Initial stress
Reflection coefficient
Transmission coefficient
B
Prasad
bishwanathprasad92@gmail.com
1
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
LEAD_AUTHOR
S
Kundu
2
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
AUTHOR
P
Chandra Pal
3
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
AUTHOR
[1] Love A.E.H., 1944, A Treatise on Mathematical Theory of Elasticity, Dover Publication, New York.
1
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2
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[22] Ahmed S.M., Abo-Dahab S.M., 2012, Influence of initial stress and gravity field on propagation of Rayleigh and Stoneley waves in a thermoelastic orthotropic granular medium, Mathematical Problems in Engineering 2012: 245965.
22
[23] Pal P.C., Kumar S., Mandal D., 2014, Wave propagation in an inhomogeneous anisotropic generalized thermoelastic solid, Journal of Thermal Stresses 37(7): 817-831.
23
[24] Sharma M.D., 2010, Wave propagation in a pre-stressed anisotropic generalized thermoelastic medium, Earth, Planet and Space 62(4): 381-390.
24
[25] Sharma M.D., 2014, Propagation and attenuation of Rayleigh waves in generalized thermoelastic media, Journal of Seismology 18(1): 61-79.
25
[26] Gupta R.R., Gupta R.R., 2014, Reflection of waves in a rotating transversely isotropic thermoelastic half-space under initial stress, Journal of Solid Mechanics 6(2): 229-239.
26
[27] Sharma J.N., Kaur R., 2014, Study of reflection and transmission of plane waves at thermoelastic-diffusive solid/liquid interface, Latin American Journal of Solids and Structures 11(12): 2141-2170.
27
[28] Kakar R., Kakar S., 2015, Modelling of magneto-thermoelastic plane waves at the interface of two prestressed solid half-spaces without energy dissipation, Earthquakes and Structures 8(6): 1299-1323.
28
[29] Kumar R., Garg S.K., Ahuja S., 2015, Wave propagation in fibre-reinforced transversely isotropic thermoelastic media with initial stress at the boundary, Journal of Solid Mechanics 7(2): 223-238.
29
[30] Sur A., Kanoria M., 2014, Finite thermal wave propagation in a half-space due to variable thermal loading, Applications and Applied Mathematics: An International Journal 9(1): 94-121.
30
[31] Sur A., Kanoria M., 2015, Propagation of thermal waves in a functionally graded thick plate, Mathematics and Mechanics of Solids 22(4): 718-736.
31
[32] Sur A., Kanoria M., 2017, Modeling of fibre-reinforced magneto-thermoelastic plate with heat sources, Procedia Engineering 173: 875-882.
32
[33] Sur A., Kanoria M., 2017, Three-dimensional thermoelastic problem under two-temperature theory, International Journal of Computational Methods 14(3): 1750030-1-17.
33
[34] Karmakar R., Sur A., Kanoria M., 2016, Generalized thermoelastic problem of an infinite body with a spherical cavity under dual-phase-lags, Journal of Applied Mechanics and Technical Physics 57(4): 652-665.
34
[35] Prasad B., Pal P.C., Kundu S., Prasad N., 2017, Effect of inhomogeneity due to temperature on the propagation of shear waves in an anisotropic layer, AIP Conference Proceedings 1860: 020053-1-7.
35
[36] Kumar R., Kaur M., 2017, Reflection and transmission of plane waves at micropolar piezothermoelastic solids, Journal of Solid Mechanics 9(3): 508-526.
36
[37] Sur A., Pal P., Kanoria M., 2018, Modeling of memory-dependent derivative in a fiber-reinforced plate under gravitational effect, Journal of Thermal Stresses 41(8): 973-992.
37
[38] Sur A., Paul S., Kanoria M., 2019, Modeling of memory-dependent derivative in a functionally graded plate, Waves in Random and Complex Media, doi:10.1080/17455030.2019.1606962.
38
[39] Purkait P., Sur A., Kanoria M., 2019, Elasto-thermodiffusive response in a spherical shell subjected to memory-dependent heat transfer, Waves in Random and Complex Media, doi:10.1080/17455030.2019.1599464.
39
ORIGINAL_ARTICLE
Efficient Higher-Order Shear Deformation Theories for Instability Analysis of Plates Carrying a Mass Moving on an Elliptical Path
The dynamic performance of structures under traveling loads should be exactly analyzed to have a safe and reasonable structural design. Different higher-order shear deformation theories are proposed in this paper to analyze the dynamic stability of thick elastic plates carrying a moving mass. The displacement fields of different theories are chosen based upon variations along the thickness as cubic, sinusoidal, hyperbolic and exponential. The well-known Hamilton’s principle is utilized to derive equations of motion and then they are solved using the Galerkin method. The energy-rate method is used as a numerical method to calculate the boundary curves separating the stable and unstable regions in the moving mass parameters plane. Effects of the relative plate thickness, trajectories radii and the Winkler foundation stiffness on the system stability are examined. The results obtained in this research are compared, in a special case, with those of the Kirchhoff’s plate model for the validation.
http://jsm.iau-arak.ac.ir/article_668763_6f3e88c96c4902df598239cba2bea22f.pdf
2019-12-30
790
808
10.22034/jsm.2019.668763
Mass–plate interaction
Higher-order shear deformation theories
Parametric vibration
Parametric resonance
Energy-rate method
E
Torkan
1
Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan,Iran
AUTHOR
M
Pirmoradian
pirmoradian@iaukhsh.ac.ir
2
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran
LEAD_AUTHOR
[1] Karimi A.H., Ziaei-Rad S., 2015, Nonlinear coupled longitudinal–transverse vibration analysis of a beam subjected to a moving mass traveling with variable speed, Archive of Applied Mechanics 85: 1941-1960.
1
[2] Lv J., Kang H., 2018, Nonlinear dynamic analysis of cable-stayed arches under primary resonance of cables, Archive of Applied Mechanics 88: 1-14.
2
[3] Babagi P.N., Neya B.N., Dehestani M., 2017, Three dimensional solution of thick rectangular simply supported plates under a moving load, Meccanica 52: 3675-3692.
3
[4] Ozgan K., Daloglu A.T., Karakaş Aİ., 2013, A parametric study for thick plates resting on elastic foundation with variable soil depth, Archive of Applied Mechanics 83: 549-558.
4
[5] Rofooei F.R., Enshaeian A., Nikkhoo A., 2017, Dynamic response of geometrically nonlinear, elastic rectangular plates under a moving mass loading by inclusion of all inertial components, Journal of Sound and Vibration 394: 497-514.
5
[6] Enshaeian A., Rofooei F.R., 2014, Geometrically nonlinear rectangular simply supported plates subjected to a moving mass, Acta Mechanica 225: 595-608.
6
[7] Wang Y.Q., Zu J.W., 2017, Nonlinear steady-state responses of longitudinally traveling functionally graded material plates in contact with liquid, Composite Structures 164: 130-144.
7
[8] Wang Y.Q., Zu J.W., 2017, Nonlinear dynamic thermoelastic response of rectangular FGM plates with longitudinal velocity, Composites Part B: Engineering 117: 74-88.
8
[9] Niaz M., Nikkhoo A., 2015, Inspection of a rectangular plate dynamics under a moving mass with varying velocity utilizing BCOPs, Latin American Journal of Solids and Structures 12: 317-332.
9
[10] Frýba L., 1999, Vibration of Solids and Structures under Moving Loads, Thomas Telford House, London.
10
[11] Nikkhoo A., Rofooei F.R., 2012, Parametric study of the dynamic response of thin rectangular plates traversed by a moving mass, Acta Mechanica 223: 15-27.
11
[12] Esen I., 2013, A new finite element for transverse vibration of rectangular thin plates under a moving mass, Finite Elements in Analysis and Design 66: 26-35.
12
[13] Nikkhoo A., Hassanabadi M.E., Azam S.E., Amiri J.V., 2014, Vibration of a thin rectangular plate subjected to series of moving inertial loads, Mechanics Research Communications 55: 105-113.
13
[14] Hassanabadi M.E., Attari N.K.A., Nikkhoo A., 2016, Resonance of a rectangular plate influenced by sequential moving masses, Coupled Systems Mechanics 5: 87-100.
14
[15] Gbadeyan J.A., Dada M.S., 2006, Dynamic response of a Mindlin elastic rectangular plate under a distributed moving mass, International journal of mechanical sciences 48: 323-340.
15
[16] Amiri J.V., Nikkhoo A., Davoodi M.R., Hassanabadi M.E., 2013, Vibration analysis of a Mindlin elastic plate under a moving mass excitation by eigenfunction expansion method, Thin-Walled Structures 62: 53-64.
16
[17] Ansari M., Esmailzadeh E., Younesian D., 2010, Internal-external resonance of beams on non-linear viscoelastic foundation traversed by moving load, Nonlinear Dynamics 61: 163-182.
17
[18] Rao G.V., 2000, Linear dynamics of an elastic beam under moving loads, Journal of Vibration and Acoustics 122: 281-289.
18
[19] Nelson H.D., Conover R.A., 1971, Dynamic stability of a beam carrying moving masses, Journal of Applied Mechanics 38: 1003-1006.
19
[20] Pirmoradian M., Keshmiri M., Karimpour H., 2014, Instability and resonance analysis of a beam subjected to moving mass loading via incremental harmonic balance method, Journal of Vibroengineering 16: 2779-2789.
20
[21] Pirmoradian M., Keshmiri M., Karimpour H., 2015, On the parametric excitation of a Timoshenko beam due to intermittent passage of moving masses: instability and resonance analysis, Acta Mechanica 226: 1241-1253.
21
[22] Yang T-Z., Fang B., 2012, Stability in parametric resonance of an axially moving beam constituted by fractional order material, Archive of Applied Mechanics 82: 1763-1770.
22
[23] Torkan E., Pirmoradian M., Hashemian M., 2018, On the parametric and external resonances of rectangular plates on an elastic foundation traversed by sequential masses, Archive of Applied Mechanics 88: 1411-1428.
23
[24] Torkan E., Pirmoradian M., Hashemian M., 2017, Occurrence of parametric resonance in vibrations of rectangular plates resting on elastic foundation under passage of continuous series of moving masses, Modares Mechanical Engineering 17: 225-236.
24
[25] Pirmoradian M., Torkan E., Karimpour H., 2018, Parametric resonance analysis of rectangular plates subjected to moving inertial loads via IHB method, International Journal of Mechanical Sciences 142: 191-215.
25
[26] Karimpour H., Pirmoradian M., Keshmiri M., 2016, Instance of hidden instability traps in intermittent transition of moving masses along a flexible beam, Acta Mechanica 227: 1213-1224.
26
[27] Reddy J.N., 1984, A simple higher-order theory for laminated composite plates, Journal of Applied Mechanics 51: 745-752.
27
[28] Shi G., 2007, A new simple third-order shear deformation theory of plates, International Journal of Solids and Structures 44: 4399-4417.
28
[29] Touratier M., 1991, An efficient standard plate theory, International Journal of Engineering Science 29: 901-916.
29
[30] Karama M., Afaq K.S., Mistou S., 2003, Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity, International Journal of Solids and Structures 40: 1525-1546.
30
[31] El Meiche N., Tounsi A., Ziane N., Mechab I., 2011, A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate, International Journal of Mechanical Sciences 53: 237-247.
31
[32] Torkan E., Pirmoradian M., Hashemian M., 2019, Instability inspection of parametric vibrating rectangular mindlin plates lying on Winkler foundations under periodic loading of moving masses, Acta Mechanica Sinica 35: 242-263.
32
[33] Jazar G.N., 2004, Stability chart of parametric vibrating systems using energy-rate method, International Journal of Non-Linear Mechanics 39: 1319-1331.
33
[34] Torkan E., Pirmoradian M., Hashemian M., 2019, Dynamic instability analysis of moderately thick rectangular plates influenced by an orbiting mass based on the first-order shear deformation theory, Modares Mechanical Engineering 19: 2203-2213.
34
[35] Pirmoradian M., Karimpour H., 2017, Parametric resonance and jump analysis of a beam subjected to periodic mass transition, Nonlinear Dynamics 89: 2141-2154.
35
[36] Pirmoradian M., Karimpour H., 2017, Nonlinear effects on parametric resonance of a beam subjected to periodic mass transition, Modares Mechanical Engineering 17: 284-292.
36
ORIGINAL_ARTICLE
Static Bending Analysis of Foam Filled Orthogonally Rib-Stiffened Sandwich Panels: A Mathematical Model
The current study presents a mathematical modeling for sandwich panels with foam filled orthogonally rib-stiffened core using Heaviside distribution functions. The governing equations of the static problem have been derived based on classical lamination theory. The present model contains three displacement variables considering all of the stiffness coefficients. A closed form solution using Galerkin’s method is presented for simply supported sandwich panels with foam filled orthogonally rib-stiffened core subjected to uniform lateral static pressure. Compared to previous researches, the present work is comprehensive enough to be used for symmetric, unsymmetric, laminated or filament wound panels with orthogrid stiffeners. The accuracy of the solution is checked both through comparisons with previous works, and the results of simulation with ABAQUS software.
http://jsm.iau-arak.ac.ir/article_668614_77ab7cc4bc906e7864280339f38344a8.pdf
2019-12-30
809
824
10.22034/jsm.2019.668614
Composite
Sandwich panels
Grid stiffened
Static bending analysis
Galerkin’s method
Heaviside distribution functions
S
Soleimanian
1
University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran
AUTHOR
A
Davar
davar78@gmail.com
2
University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran
AUTHOR
J
Eskandari Jam
jejaam@gmail.com
3
University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran
LEAD_AUTHOR
M
Heydari Beni
4
University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Tehran, Iran
AUTHOR
[1] Yetram A.L., Brown C.J., 1985, The elastic stability of square perforated plates, Computers & Structures 21: 1267-1272.
1
[2] Choi S., Jeong K.H., Kim T.W., Kim K.S., Park K.B., 1998, Free vibration analysis of perforated plates using equivalent elastic properties, Journal of the Korean Nuclear Society 30: 416-423.
2
[3] Takabatake H., 1991, Static analyses of elastic plates with voids, International Journal of Solids and Structures 28: 179-196.
3
[4] Rezaeepazhand J., Jafari M., 2005, Stress analysis of perforated composite plates, Composite Structures 71: 463-468.
4
[5] Li G., Cheng J., 2012, A generalized analytical modeling of grid stiffened composite structures, Composite Structures 94: 1117-1127.
5
[6] Huang L., Sheikh A.H., Ng C.T., Griffith M.C., 2015, An efficient finite element model for buckling analysis of grid stiffened laminated composite plates, Composite Structures 122: 41-50.
6
[7] Wodesenbet E., Kidane S., Pang S.S., 2003, Optimization for buckling loads of grid stiffened composite panels, Composite Structures 60: 159-169.
7
[8] Legault J., Mejdi A., Atalla N., 2011, Vibro-acoustic response of orthogonally stiffened panels: The effects of finite dimensions, Journal of Sound and Vibration 330: 5928-5948.
8
[9] Priyadharshani S.A., Prasad A.M., Sundaravadivelu R., 2017, Analysis of GFRP stiffened composite plates with rectangular cutout, Composite Structures 169: 42-51.
9
[10] Nemeth M.P., 2011, A Treatise on Equivalent-Plate Stiffnesses for Stiffened Laminated-Composite Plates and Plate-Like Lattices, NASA TP, Virginia.
10
[11] Weber M.J., Middendorf P., 2014, Semi-analytical skin buckling of curved orthotropic grid-stiffened shells, Composite Structures 108: 616-624.
11
[12] Ovesy H.R., Fazilati J., 2012, Buckling and free vibration finite strip analysis of composite plates with cutout based on two different modeling approaches, Composite Structures 94: 1250-1258.
12
[13] Qin X.C., Dong C.Y., Wang F., Qu X.Y., 2017, Static and dynamic analyses of isogeometric curvilinearly stiffenedplates, Applied Mathematical Modelling 45: 336-364 .
13
[14] Azhari M., Shahidi A.R., Saadatpour M.M., 2005, Local and post local buckling of stepped and perforated thin plates, Applied Mathematical Modelling 29: 633-652.
14
[15] John Wilson A., Rajasekaran S., 2014, Elastic stability of all edges simply supported, stepped and stiffened rectangular plate under Biaxial loading, Applied Mathematical Modelling 38: 479-495.
15
[16] Vasiliev V.V., Barynin V.A., Razin A.F., 2012, Anisogrid composite lattice structures – development and aerospace applications, Composite Structures 94: 1117-1127.
16
[17] Kaw A.K., 2006, Mechanics of Composite Materials, CRC Press, Taylor & Francis Group, Boca Raton,
17
[18] Whitney J.M., 1987, Structural Analysis of Laminated Anisotropic Plates, Technomic Publishing Company, Pennsylvania.
18
ORIGINAL_ARTICLE
The Effects of Forming Parameters on the Single Point Incremental Forming of 1050 Aluminum Alloy Sheet
The single point incremental forming (SPIF) is one of the dieless forming processes which is widely used in the sheet metal forming. The correct selection of the SPIF parameters influences the formability and quality of the product. In the present study, the Gurson-Tvergaard Needleman (GTN) damage model was used for the fracture prediction in the numerical simulation of the SPIF process of aluminum alloy 1050. The GTN parameters of AA 1050 sheet were firstly identified by the numerical simulation of tensile test and comparison of the experimental and numerical stress-strain curves. The identified parameters of the GTN damage model were used for fracture prediction in the SPIF process. The numerical results of the fracture position, thickness variation across the sample and forming height were compared with the experimental results. The numerical results had good agreement with the experimental ones. The effect of SPIF main parameters was investigated on the formability of samples by the verified numerical model. These parameters were tool rotation speed, tool feed rate, tool diameter, wall angle of the sample, vertical pitch, and friction between the tool and the blank.
http://jsm.iau-arak.ac.ir/article_668616_4d0c5fab9eee5c6999038ae1c88faeb2.pdf
2019-12-30
825
841
10.22034/jsm.2019.668616
Single point incremental forming (SPIF)
GTN damage model
Response surface method (RSM)
Fracture
Finite element method (FEM)
R
Safdarian
safdarian@bkatu.ac.ir
1
Department of Mechanical Engineering, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran
LEAD_AUTHOR
[1] Bagudanch I., Garcia-Romeu M.L., Ferrer I., Lupiañez J., 2013, The effect of process parameters on the energy consumption in single point incremental forming, Procedia Engineering 63: 346-353.
1
[2] Gatea S., Ou H., McCartney G., 2016, Review on the influence of process parameters in incremental sheet forming, The International Journal of Advanced Manufacturing Technology 87(1): 479-499.
2
[3] Raju C., Haloi N., Sathiya Narayanan C., 2017, Strain distribution and failure mode in single point incremental forming (SPIF) of multiple commercially pure aluminum sheets, Journal of Manufacturing Processes 30: 328-335.
3
[4] Guzmán C.F., Yuan S., Duchêne L., Saavedra Flores E.I., Habraken A.M., 2018, Damage prediction in single point incremental forming using an extended Gurson model, International Journal of Solids and Structures 151: 45-56.
4
[5] Dakhli M., Boulila A., Tourki Z., 2017, Effect of generatrix profile on single-point incremental forming parameters,The International Journal of Advanced Manufacturing Technology 93(5): 2505-2516.
5
[6] McAnulty T., Jeswiet J., Doolan M., Formability in single point incremental forming: A comparative analysis of the state of the art, CIRP Journal of Manufacturing Science and Technology 16: 43-54.
6
[7] Bagudanch I., Centeno G., Vallellano C., Garcia-Romeu M.L., 2013, Forming force in single point incremental forming under different bending conditions, Procedia Engineering 63: 354-360.
7
[8] Palumbo G., Brandizzi M., 2012, Experimental investigations on the single point incremental forming of a titanium alloy component combining static heating with high tool rotation speed, Materials & Design 40: 43-51.
8
[9] Hadoush A., van den Boogaard A.H., 2009, Substructuring in the implicit simulation of single point incremental sheet forming, International Journal of Material Forming 2(3): 181-189.
9
[10] Duflou J.R., Verbert J., Belkassem B., Gu J., Sol H., Henrard C., Habraken A.M., Process window enhancement for single point incremental forming through multi-step toolpaths, CIRP Annals 57(1): 253-256.
10
[11] Gupta P., Jeswiet J., 2017, Observations on heat generated in single point incremental forming, Procedia Engineering 183:161-167.
11
[12] Edwards W.L., Grimm T.J., Ragai I., Roth J.T., Optimum process parameters for springback reduction of single point incrementally formed polycarbonate, Procedia Manufacturing 10: 329-338.
12
[13] Bansal A., Lingam R., Yadav S.K., Venkata Reddy N., 2017, Prediction of forming forces in single point incremental forming, Journal of Manufacturing Processes 28: 486-493.
13
[14] Behera A.K., de Sousa R.A., Ingarao G., Oleksik V., 2017, Single point incremental forming: An assessment of the progress and technology trends from 2005 to 2015, Journal of Manufacturing Processes 27: 37-62.
14
[15] Martins P.A.F., Bay N., Skjoedt M., Silva M.B., 2008, Theory of single point incremental forming, CIRP Annals 57(1): 247-252.
15
[16] Martínez-Romero O., García-Romeu M.L., Olvera-Trejo D., Bagudanch I., Elías-Zúñiga A., 2014, Tool dynamics during single point incremental forming process, Procedia Engineering 81: 2286-2291.
16
[17] (ASTM) ASfTaM, Metals Test Methods and Analytical Procedures, 1999: 78-98, 501-508.
17
[18] Chu C.C., Needleman A., 1980, Void nucleation effects in biaxially stretched sheets, Journal of Engineering Materials and Technology 102(3): 249-256.
18
[19] He M., Li F., Wang Z., 2011, Forming limit stress diagram prediction of aluminum alloy 5052 based on GTN model parameters determined by in situ tensile test, Chinese Journal of Aeronautics 24(3): 378-386.
19
[20] Kacem A., Jégat A., Krichen A., Manach P.Y., 2013, Forming limits in the hole-flanging process by coupled and uncoupled damage models, AIP Conference Proceedings 1567(1): 575-578.
20
[21] Hibbitt K., Sorensen, 2002, ABAQUS/CAE User's Manual, Incorporated.
21
[22] Hirt G., Ames J., Bambach M., Kopp R., 2004, Forming strategies and process modelling for CNC incremental sheet forming, CIRP Annals 53(1): 203-206.
22
ORIGINAL_ARTICLE
FEM Implementation of the Coupled Elastoplastic/Damage Model: Failure Prediction of Fiber Reinforced Polymers (FRPs) Composites
The coupled damage/plasticity model for meso-level which is ply-level in case of Uni-Directional (UD) Fiber Reinforced Polymers (FRPs) is implemented. The mathematical formulations, particularly the plasticity part, are discussed in a comprehensive manner. The plastic potential is defined in effective stress space and the damage evolution is based on the theory of irreversible thermodynamics. The model which is illustrated here has been implemented by different authors previously but, the complete pre-requisite algorithm ingredients used in the implicit scheme implementation are not available in the literature. This leads to the complexity in its implementation. Furthermore, this model is not available as a built-in material constitutive law in the commercial Finite Element Method (FEM) softwares. To facilitate the implementation and understanding, all the mathematical formulations are presented in great detail. In addition, the elastoplastic consistent operator needed for implementation in the implicit solution scheme is also derived. The model is formularized in incremental form to be used in the Return Mapping Algorithm (RMA). The quasi-static load carrying capability and non-linearity caused by the collaborative effect of damage and plasticity is predicted with User MATerial (UMAT) subroutine which solves the FEM problem with implicit techniques in ABAQUS.
http://jsm.iau-arak.ac.ir/article_668617_9b3b2f609edd23958b5d534f81cf4917.pdf
2019-12-30
842
853
10.22034/jsm.2019.668617
Continuum damage mechanics
Plasticity/damage coupling
Meso-scale
Return mapping algorithm
Fiber reinforced polymers
I
UD DIN
israr.uddin@u-picardie.fr
1
Laboratoire des Technologies Innovantes, LTI-EA 3899, Université de Picardie Jules Verne, Amiens, France
LEAD_AUTHOR
P
Hao
2
Laboratoire des Technologies Innovantes, LTI-EA 3899, Université de Picardie Jules Verne, Amiens, France
AUTHOR
M
Aamir
3
School of Engineering, Edith Cowan University, Joondalup, Perth, Australia
AUTHOR
G
Franz
4
Laboratoire des Technologies Innovantes, LTI-EA 3899, Université de Picardie Jules Verne, Amiens, France
AUTHOR
S
Panier
5
Laboratoire des Technologies Innovantes, LTI-EA 3899, Université de Picardie Jules Verne, Amiens, France
AUTHOR
[1] Ladevèze PLD E., 1992, Damage modelling of the elementary ply for laminated composites, Composites Science and Technology 43: 257-267.
1
[2] Liu PFZ J.Y., 2010, Recent developments on damage modeling and finite element analysis for composite laminates: A review, Materials & Design 31(8): 3825-3834.
2
[3] Wang Y., Tong M., Zhu S., 2009, Three dimensional continuum damage mechanics model of progressive failure analysis in fibre-reinforced composite laminates, Paper Presented at the Structures, Structural Dynamics, and Materials Conference, California.
3
[4] Edgren F., Mattsson D., Asp L.E., Varna J., 2004, Formation of damage and its effects on non-crimp fabric reinforced composites loaded in tension, Composites Science and Technology 64(5): 675-692.
4
[5] Herakovich C., Schroedter R., Gasser A., Guitard L., 2000, Damage evolution in [±45]s laminates with fiber rotation, Composite Science and Technology 60: 2781-2789.
5
[6] Abu Al-Rub R.K.V., George Z., 2003, On the coupling of anisotropic damage and plasticity models for ductile materials, International Journal of Solids and Structures 40(11): 2611-2643.
6
[7] Maire J., Chaboche J., 1997, A new formulation of continuum damage mechanics for composite materials, Aeropace Science and Technology 4: 247-257.
7
[8] O’Higgins R.M., McCarthy C.T., McCarthy M.A., 2011, Identification of damage and plasticity parameters for continuum damage mechanics modelling of carbon and glass fibre-reinforced composite materials, Strain 47(1): 105-115.
8
[9] Payan J., Hochard C., 2002, Damage modelling of laminated carbon/epoxy composites under static and fatigue loadings, International Journal of Fatigue 24: 299-306.
9
[10] Greve L., Pickett A.K., 2006, Modelling damage and failure in carbon/epoxy non-crimp fabric composites including effects of fabric pre-shear, Composites Part A: Applied Science and Manufacturing 37(11): 1983-2001.
10
[11] Boutaous A., Peseux B., Gornet L., Bélaidi A., 2006, A new modeling of plasticity coupled with the damage and identification for carbon fibre composite laminates, Composite Structures 74(1): 1-9.
11
[12] Kachanov L.M., 1958, Time of the rupture process under creep condition, Jzvestia Akad Nauk 8: 26-31.
12
[13] Chaboche J., 1988, Continuum damage mechanics: Part 1-General concepts, Journal of Applied Mechanics 55: 59-64.
13
[14] Ribeiro M.L., Tita V., Vandepitte D., 2012, A new damage model for composite laminates, Composite Structures 94(2): 635-642.
14
[15] Malgioglio F., Payan D., Magneville B., Farkas L., 2017, Material parameter identification challenge and procedure for intra-laminar damage prediction in unidirectional CFRP, Paper Presented at the 6th ECCOMAS Thematic Conference on the Mechanical Response of Composites.
15
[16] Chen J.F., Morozov E.V., Shankar K., 2012, A combined elastoplastic damage model for progressive failure analysis of composite materials and structures, Composite Structures 94(12): 3478-3489.
16
[17] Neto E.A.S., Peric D., Owen D.R.J., 2008, Computational Methods for Plasticity: Theory and Applications, John Wiley and Sons, West Sussex, United Kingdom.
17
[18] Ud Din I., Hao P., Franz G., Panier S., 2018, Elastoplastic CDM model based on Puck’s theory for the prediction of mechanical behavior of Fiber Reinforced Polymer (FRP) composites, Composite Structures 201: 291-302.
18
[19] Simo J., Taylor R., 1985, Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering 48: 101-118.
19
[20] O’Higgins R.M., McCarthy C.T., McCarthy M.A., 2012, Effects of shear-transverse coupling and plasticity in the formulation of an elementary Ply composites damage model, Part II: material characterization, Strain 48(1): 59-67.
20
[21] O’Higgins R.M., McCarthy C.T., McCarthy M.A., 2012, Effects of shear-transverse coupling and plasticity in the formulation of an elementary Ply composites damage model, Part I: model formulation and validation, Strain 48(1): 49-58.
21
[22] Truong T.C., Vettori M., Lomov S., Verpoest I., 2005, Carbon composites based on multi-axial multi-ply stitched preforms, Applied Science and Manufacturing 36(9): 1207-1221.
22
ORIGINAL_ARTICLE
Chip Formation Process using Finite Element Simulation “Influence of Cutting Speed Variation”
The main aim of this paper is to study the material removal phenomenon using the finite element method (FEM) analysis for orthogonal cutting, and the impact of cutting speed variation on the chip formation, stress and plastic deformation. We have explored different constitutive models describing the tool-workpiece interaction. The Johnson-Cook constitutive model with damage initiation and damage evolution has been used to simulate chip formation. Chip morphology, Stress and equivalent plastic deformation has been presented in this paper as results of chip formation process simulation using Abaqus explicit Software. According to simulation results, the variation of cutting speeds is an influential factor in chip formation, therefore with the increasing of cutting speed the chip type tends to become more segmented. Additionally to the chip formation and morphology obtained from the finite element simulation results, some other mechanical parameters; which are very difficult to measure on the experimental test, can be obtained through finite element modeling of chip formation process.
http://jsm.iau-arak.ac.ir/article_668618_b58d3a40ec359459cdedc39f07d386db.pdf
2019-12-30
854
861
10.22034/jsm.2019.668618
FEM simulation
Johnson Cook model
Abaqus explicit
Chip formation
Cutting process
A
Kherraf
all_kherraf@outlook.fr
1
Mechanical Engineering Department, Faculty of Technology, University of Batna2 Laboratory LIECS_MS, Batna, Algeria
LEAD_AUTHOR
Y
Tamerabet
2
Mechanical Engineering Department, Faculty of Technology, University of Batna2 Laboratory LIECS_MS, Batna, Algeria
AUTHOR
M
Brioua
3
Mechanical Engineering Department, Faculty of Technology, University of Batna2 Laboratory LIECS_MS, Batna, Algeria
AUTHOR
R
Benbouta
4
Mechanical Engineering Department, Faculty of Technology, University of Batna2 Laboratory LIECS_MS, Batna, Algeria
AUTHOR
[1] Shet C., Deng X., 2000, Finite element analysis of the orthogonal metal cutting process, Journal of Materials Processing Technology 105(1-2): 95-109.
1
[2] Bäker M., Rösler J., Siemers C., 2002, A finite element model of high speed metal cutting with adiabatic shearing, Computers and Structures 80(5-6): 495-513.
2
[3] Calamaz M., Coupard D., Nouari M., Girot F., 2011, Numerical analysis of chip formation and shear localisation processes in machining the Ti-6Al-4V titanium alloy, International Journal of Advanced Manufacturing Technology 52(9): 887-895.
3
[4] Wang B., Liu Z., 2015, Shear localization sensitivity analysis for Johnson–Cook constitutive parameters on serrated chips in high speed machining of Ti6Al4V, Simulation Modelling Practice and Theory 55: 63-76.
4
[5] Mabrouki T., Courbon C., Zhang Y., Rech J., Nélias D., Asad J., Hamdi M., , Belhadi H., Salvatore S., 2016, Some insights on the modelling of chip formation and its morphology during metal cutting operations, Comptes Rendus Mécanique 344(4-5): 335-354.
5
[6] Bil H., Kılıç S.E., Tekkaya A.E., 2004, A comparison of orthogonal cutting data from experiments with three different finite element models, International Journal of Machine Tools and Manufacture 44(9): 933-944.
6
[7] Özel T., Zeren E., 2007, Finite element modelling the influence of edge roundness on the stress and temperature fields induced by high speed machining, International Journal of Advanced Manufacturing Technology 35(3): 255-267.
7
[8] Donea J., Huerta A., Ponthot J.Ph., Rodriguez-Ferran A., 2004, Arbitrary Lagrangian–Eulerian Methods, Encyclopedia of Computational Mechanics, John Wiley & Sons.
8
[9] Nasr M.N.A., Ng E.G., Elbestawi M.A., 2007, Modeling the effects of tool-edge radius on residual stresses when orthogonal cutting AISI 316L, International Journal of Machine Tools and Manufacture 47(2): 401-411.
9
[10] Atlati S., 2012, Development of a New Hybrid Approach for Modelling Heat Exchange at the Tool-Chip Interface : Application to Machining Aeronautical Aluminium Dlloy AA2024-T351, Phd Thesis, University Mohamed I - and University of Lorraine - GIP-InSIC.
10
[11] Johnson G.R., Cook W.H., 1983, A constitutive model and data for metals subjected to large strains, high strain rate, and temperatures, Proceedings of the 7th International Symposium on Ballistics, Netherlands.
11
[12] Zerilli F.J., Armstrong R.W., 1987, Dislocation – mechanics – based constitutive relations for material dynamics calculations, Journal of Applied Mechanics 61(5): 1816-1825.
12
[13] Marusich T., Ortiz D., 1995, Modelling and simulation of high-speed machining, International Journal on Numerical Methods in Engineering 38: 3675-3694.
13
[14] Johnson G.R., Cook W.H., 1985, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Engineering Fracture Mechanics 21: 31-48.
14
[15] Öpöz T.T., Chen X., 2016, Chip formation mechanism using finite element simulation, Strojniški vestnik - Journal of Mechanical Engineering 62: 11.
15
[16] Teng X., Wierzbicki T., 2006, Evaluation of six fracture models in high velocity perforation, Engineering Fracture Mechanics 73(12): 1653-1678.
16
[17] Bao Y., Wierzbicki T., 2005, On the cut-off value of negative triaxiality for fracture, Engineering Fracture Mechanics 72(7): 1049-1069.
17
ORIGINAL_ARTICLE
An Axisymmetric Contact Problem of a Thermoelastic Layer on a Rigid Circular Base
We study the thermoelastic deformation of an elastic layer. The upper surface of the medium is subjected to a uniform thermal field along a circular area while the layer is resting on a rigid smooth circular base. The doubly mixed boundary value problem is reduced to a pair of systems of dual integral equations. The both system of the heat conduction and the mechanical problems are calculated by solving a dual integral equation systems which are reduced to an infinite algebraic one using a Gegenbauer’s formulas. The stresses and displacements are then obtained as Bessel function series. To get the unknown coefficients, the infinite systems are solved by the truncation method. A closed form solution is given for the displacements, stresses and the stress singularity factors. The effects of the radius of the punch with the rigid base and the layer thickness on the stress field are discussed. A numerical application is also considered with some concluding results.
http://jsm.iau-arak.ac.ir/article_668619_14707fae298d6198bad0cc66f1598c56.pdf
2019-12-30
862
885
10.22034/jsm.2019.668619
Axisymmetric thermoelastic deformation
Doubly mixed boundary value problem
Hankel integral transforms
Infinite algebraic system
Stress singularity factor
F
Guerrache
1
Department of Mechanical Engineering, Ecole Nationale Polytechnique, Algiers, Algeria
AUTHOR
B
Kebli
belkacem.kebli@g.enp.edu.dz
2
Department of Mechanical Engineering, Ecole Nationale Polytechnique, Algiers, Algeria
LEAD_AUTHOR
[1] Dhaliwal R.S., 1966, Mixed boundary value problem of heat conduction for infinite slab, Applied Scientific Research 16: 226-240.
1
[2] Dhaliwal R.S., 1967, An axisymmetric mixed boundary value problem for a thick slab, SIAM Journal on Applied Mathematics 15: 98-106.
2
[3] Mehta B.R.C., Bose T.K., 1983, Temperature distribution in a large circular plate heated by a disk heat source, International Journal of Heat and Mass Transfer 26: 1093-1095.
3
[4] Lebedev N.N., Ufliand IA.S., 1958, Axisymmetric contact problem for an elastic layer, PMM 22: 320-326.
4
[5] Zakorko V.N., 1974, The axisymmetric strain of an elastic layer with a circular line of separation of the boundary conditions on both faces, PMM 38: 131-138.
5
[6] Dhaliwal R.S., Singh B.M., 1977, Axisymmetric contact problem for an elastic layer on a rigid foundation with a cylindrical hole, International Journal of Engineering Science 15: 421-428.
6
[7] Wood D.M., 1984, Circular load on elastic layer, International Journal for Numerical and Analytical Methods in Geomechanics 8: 503-509.
7
[8] Toshiaki H., Takao A., Toshiakaru S., Takashi K., 1990, An axisymmetric contact problem of an elastic layer on a rigid base with a cylindrical hole, JSME International Journal 33: 461- 466.
8
[9] Sakamoto M., Hara T., Shibuya T., Koizumi T., 1990, Indentation of a penny-shaped crack by a disc-shaped rigid inclusion in an elastic layer, JSME International Journal 33: 425- 430.
9
[10] Sakamoto M., Kobayashi K., 2004, The axisymmetric contact problem of an elastic layer subjected to a tensile stress applied over a circular region, Theoretical and Applied Mechanics Japan 53: 27-36.
10
[11] Sakamoto M., Kobayashi K., 2005, Axisymmetric indentation of an elastic layer on a rigid foundation with a circular hole, WIT Transactions on Engineering Sciences 49: 279-286.
11
[12] Kebli B., Berkane S., Guerrache F., 2018, An axisymmetric contact problem of an elastic layer on a rigid circular base, Mechanics and Mechanical Engineering 22: 215-231.
12
[13] Dhaliwal R.S., 1971, The steady-state thermoelastic mixed boundary-value problem for the elastic layer, IMA Journal of Applied Mathematics 7: 295-302.
13
[14] Wadhawan M.C., 1973, Steady state thermal stresses in an elastic layer, Pure and Applied Geophysics 104: 513- 522.
14
[15] Negus K.J., Yovanovich M., Thompson J.C., 1988, Constriction resistance of circular contacts on coated surfaces: Effect of boundary conditions, Journal of Thermophysics and Heat Transfer 2: 158-164.
15
[16] Lemczyk T.F., Yovanovich M.M., 1988, Thermal constriction resistance with convective boundary conditions-1 Half-space contacts, International Journal of Heat and Mass Transfer 31: 1861-1872.
16
[17] Lemczyk T.F., Yovanovich M.M., 1988, Thermal constriction resistance with convective boundary conditions-2 Half-space contacts, International Journal of Heat and Mass Transfer 31: 1873-1988.
17
[18] Rao T.V., 2004, Effect of surface layers on the constriction resistance of an isothermal spot. Part I: Reduction to an integral equation and numerical results, Heat and Mass Transfer 40: 439- 453.
18
[19] Rao T.V., 2004, Effect of surface layers on the constriction resistance of an isothermal spot. Part II: Analytical results for thick layers, Heat and Mass Transfer 40: 455- 466.
19
[20] Abdel-Halim A.A., Elfalaky A., 2005, An internal penny-shaped crack problem in an infinite thermoelastic solid, Journal of Applied Sciences Research 1: 325-334.
20
[21] Elfalaky A., Abdel-Halim A.A., 2006, Mode I crack problem for an infinite space in thermoelasticity, Journal of Applied Sciences 6: 598-606.
21
[22] Hetnarski R.B., Eslami M.R., 2009, Thermal Stresses-Advanced Theory and Applications, Springer, Dordrecht.
22
[23] Hayek S.I., 2001, Advanced Mathematical Methods in Science and Engineering, Marcel Dekker, New York.
23
[24] Duffy D.G., 2008, Mixed Boundary Value Problems, Boca Raton, Chapman Hall/CRC.
24
[25] Gradshteyn I.S., Ryzhik I. M., 2007, Table of Integrals- Series and Products, Academic Press, New York.
25
ORIGINAL_ARTICLE
Rigidity and Irregularity Effect on Surface Wave Propagation in a Fluid Saturated Porous Layer
The propagation of surface waves in a fluid- saturated porous isotropic layer over a semi-infinite homogeneous elastic medium with an irregularity for free and rigid interfaces have been studied. The rectangular irregularity has been taken in the half-space. The dispersion equation for Love waves is derived by simple mathematical techniques followed by Fourier transformations. It can be seen that the phase velocity is strongly influenced by the wave number, the depth of the irregularity, homogeneity parameter and the rigid boundary. The dimensionless phase velocity is plotted against dimensionless wave number graphically for different size of rectangular irregularities and homogeneity parameter with the help of MATLAB graphical routines for both free and rigid boundaries for several cases. The numerical analysis of dispersion equation indicates that the phase velocity of surface waves decreases with the increase in dimensionless wave number. The obtained results can be useful to the study of geophysical prospecting and understanding the cause and estimating of damage due to earthquakes.
http://jsm.iau-arak.ac.ir/article_668621_f6a76d7f1a65a79ce433602319f106f9.pdf
2019-12-30
886
901
10.22034/jsm.2019.668621
Surface Waves
Rectangular irregularity
Phase velocity
Dispersion equation
Semi-infinite medium
R.K
Poonia
1
Department of Mathematics, Chandigarh University, Gharuan, Mohali-140413, Punjab, India
AUTHOR
D.K
Madan
2
Department of Mathematics, Chaudhary Bansi Lal University, Bhiwani Haryana, India
AUTHOR
V
Kaliraman
vsisaiya@gmail.com
3
Department of Mathematics, Chaudhary Devi Lal University, Sirsa-Haryana, India
LEAD_AUTHOR
[1] Love A.E.H., 1944, A Treatise on the Mathematical Theory of Elasticity, Dover Publications, New York.
1
[2] Ewing M., Jardetzky W.S., Press F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
2
[3] Chatopadhyay A.,1975, On the dispersion equation for Love wave due to irregularity in the thickness of non-homogeneous crustal layer, Acta Geophysica 23: 307-317.
3
[4] Gupta S., Majhi D.K., Kundu S., Vishwakarma S.K., 2013, Propagation of Love waves in non-homogeneous substratum over initially stressed heterogeneous half-space, Applied Mathematics and Mechanics 34: 249-258.
4
[5] Kundu S., Gupta S., Majhi D.K., 2013, Love wave propagation in porous rigid layer lying over an initially stressed half space, Applied Physics and Mathematics 3(2): 140-142.
5
[6] Chattaraj R., Samal S.K., Mahanti N.C., 2013, Dispersion of Love wave propagating in irregular anisotropic porous stratum under initial stress, International Journal of Geomechanics 13(4): 402-408.
6
[7] Madan D.K., Kumar R., Sikka J.S., 2014, Love wave propagation in an irregular fluid saturated porous anisotropic layer with rigid boundary, Applied Scientific Research 10: 281-287.
7
[8] Kumar R., Madan D.K., Sikka J.S., 2014, Shear wave propagation in multilayered medium including an irregular fluid saturated porous stratum with rigid boundary, Advances in Mathematical Physics 2014: 163505.
8
[9] Kakar R., Gupta M., 2014, Love waves in an intermediate heterogeneous layer lying in between homogeneous and inhomogeneous isotropic elastic half-spaces, EJGE 19: 7165-7185.
9
[10] Kumari N., 2014, Reflection and transmission of longitudinal wave at micropolar viscoelastic solid/fluid saturated incompressible porous solid interface, Journal of Solid Mechanics 6(3): 240-254.
10
[11] Kumar R., Madan D.K., Sikka J.S., 2015, Effect of irregularity and inhomogenity on the propagation of Love waves in fluid saturated porous isotropic layer, Journal of Applied Science and Technology 20: 16-21.
11
[12] Kakar R., 2015, Dispersion of love wave in an isotropic layer sandwiched between orthotropic and prestressed inhomogeneous half-spaces, Latin American Journal of Solids and Structures 12: 1934-1949.
12
[13] Barak M.S., Kaliraman V., 2018, Propagation of elastic waves at micropolar viscoelastic solid/fluid saturated incompressible porous solid interface, International Journal of Computational Methods 15(1): 1850076(1-19).
13
[14] Barak M.S., Kaliraman V., 2019, Reflection and transmission of elastic waves from an imperfect boundary between micropolar elastic solid half space and fluid saturated porous solid half space, Mechanics of Advanced Materials and Structures 26: 1226-1233.
14
[15] Kaliraman V., Poonia R.K., 2018, Elastic wave propagation at imperfect boundary of micropolar elastic solid and fluid saturated porous solid half space, Journal of Solid Mechanics 10(3): 655-671.
15
[16] Kumar R., Madan D.K., Sikka J.S., 2016, Effect of rigidity and inhomogenity on the propagation of love waves in an irregular fluid saturated porous isotropic layer, International Journal of Mathematics and Computation 27: 55-70.
16
[17] Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge.
17
ORIGINAL_ARTICLE
Temperature Effect on Mechanical Properties of Top Neck Mollusk Shells Nano-Composite by Molecular Dynamics Simulations and Nano-Indentation Experiments
Discovering the mechanical properties of biological composite structures at the Nano-scale is much interesting today. Top Neck mollusk shells are amongst biomaterials Nano-Composite that their layered structures are composed of organic and inorganic materials. Since the Nano indentation process is known as an efficient method to determine mechanical properties like elastic modulus and hardness in small-scale, so, due to some limitation of considering all peripheral parameters; particular simulations of temperature effect on the atomic scale are considerable. The present paper provides a molecular dynamics approach for modeling the Nano-Indentation mechanism with three types of pyramids, cubic and spherical indenters at different temperatures of 173, 273, 300 and 373K. Based on load-indentation depth diagrams and Oliver-Far equations, the findings of the study indicate that results in the weakening bond among the bilateral atoms lead to reduced corresponding harnesses. Whenever, the temperature increases the elastic modulus decrease as well as the related hardness. Moreover, within determining the elastic modulus and hardness, the results obtained from the spherical indenter will have the better consistency with experimental data. This study can be regarded as a novel benchmark study for further researches which tend to consider structural responses of the various Bio-inspired Nano-Composites.
http://jsm.iau-arak.ac.ir/article_668662_c765edd8d95c3aeed6065abb6bfaebc3.pdf
2019-12-30
902
917
10.22034/jsm.2019.668662
Molecular dynamics simulation
Nano indentation
Nano-Composite
Top Neck mollusk shells
temperature
A
Nouroozi Masir
1
Department of Mechanical Engineering, University of Guilan, Rasht, Iran
AUTHOR
A
Darvizeh
adarvizeh@guilan.ac.ir
2
Department of Mechanical Engineering, University of Guilan, Rasht, Iran
LEAD_AUTHOR
A
Zajkani
3
Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
AUTHOR
[1] Goodarzi M., Mohammadi M., Farajpour A., Khooran M., 2014, Investigation of the effect of pre-stressed on vibration frequency of rectangular Nanoplate based on a visco-Pasternak foundation, Journal of Solid Mechanics 6(1): 98-121.
1
[2] Tavaf V., Bahrami M.N., Goodarzi M., 2017, Refined plate theory for free vibration analysis of FG Nanoplates using the nonlocal continuum plate model, Journal of Computational Applied Mechanics 48(1): 123-136.
2
[3] Goodarzi M., Mohammadi M., Khooran M., Saadi F., 2016, Thermo-mechanical vibration analysis of FG circular and annular Nanoplate based on the visco-pasternak foundation, Journal of Solid Mechanics 8(4): 788-805.
3
[4] Arda M., Aydogdu M., 2018, Longitudinal magnetic field effect on torsional vibration of carbon nanotubes, Journal of Computational Applied Mechanics 49(2): 304-313.
4
[5] Safarabadi M., Mohammadi M., Farajpour A., Goodarzi M., 2013, Effect of surface energy on the vibration analysis of rotating nanobeam, Journal of Solid Mechanics 7(3): 299-311.
5
[6] Moradi A., Ghanbarzadeh A., Jalalvand M.,Yaghootian A., 2018, Magneto-thermo mechanical vibration analysis of FG nanoplate embedded on visco pasternak foundation, Journal of Computational Applied Mechanics 49(2): 395-407.
6
[7] Daneshmehr A., Zargaripoor A., Rajabpoor A., Isaac-Hosseini I., 2018, Free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory using finite element method,Journal of Computational Applied Mechanics 49(1): 86-101.
7
[8] Kordani N., Farajpour A., Divsalar M., Fereidoon A., 2016, Forced vibration of piezoelectric Nanowires based on nonlocal elasticity theory, Journal of Computational Applied Mechanics 47(2): 137-150.
8
[9] Ghorbanpour Arani A., Haghparast E., Baba Akbar Zarei H., 2016, Application of halpin-tsai method in modelling and size-dependent vibration analysis of CNTs/fiber/polymer composite microplates, Journal of Computational Applied Mechanics 47(1): 45-52.
9
[10] Ghorbanpour Arani A., Amir S., Karamali Ravandia A., 2015, Nonlinear flow-induced flutter instability of double CNTs using reddy beam theory, Journal of Computational Applied Mechanics 46(1): 1-12.
10
[11] Ghorbanpour Arani A., Fereidoon A.,Kolahchi R., 2014, Nonlocal DQM for a nonlinear buckling analysis of DLGSs integrated with Zno piezoelectric layers, Journal of Computational Applied Mechanics 45(1): 9-22.
11
[12] UzunB., Numanoglu H., Civalek O., 2018, Free vibration analysis of BNNT with different cross-sections via nonlocal FEM, Journal of Computational Applied Mechanics 49(2): 252-260.
12
[13] Hosseini M., Hadi A., Malekshahi A., Shishesaz M., 2018, A review of size-dependent elasticity for nanostructures, Journal of Computational Applied Mechanics 49(1): 197-211.
13
[14] Asemi S.R., Mohammadi M., Farajpour A., 2014, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures 11(9): 1515-1540.
14
[15] Mohammadi M., Farajpour A., Goodarzi M., Mohammadi H., 2013, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-Pasternak foundation, Journal of Solid Mechanics 5(3): 305-323.
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[16] Jin Me S., Wan Lin G., 2010, Chmical- mechanical stablity of the hierarchical structure of mshell nacre, Science China Physics, Mechanics and Astronomy 53(2): 380-388.
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[17] Lv J., Jiang Y., Zhang D., 2015, Structural and mechanical characterization of atrina pectinata and freshwater mussel shells, Journal of Bionic Engineering 12(2): 276-284.
17
[18] Addadi L., Joester D., Nudelman F., Weiner S., 2006, Mollusk shell formation: A source of new concepts for understanding biomineralization processes, Chemistry 12(4): 980-987.
18
[19] Sarikaya M., Gunnison K.E., Yasrebi M., Aksay I.A., 1990, Mechanical property–microstructural relationship in abalone shell, Symposium R – Materials Synthesis Utilizing Biological Processes 174: 325-452.
19
[20] DeVol R.T., Sun C.Y., Marcus M.A., Coppersmith S.N., Myneni S.C., Gilbert P.U., 2015, Nanoscale transforming mineral phases in fresh nacre, Journal of the American Chemical Society 137(41): 13325-13333.
20
[21] Horacio D.E., Jee E.R., Barthelat F., Markus J.B., 2009, Merger of structure and material in nacre and bone - perspective on de novo biomimetic material, Progress in Materials Science 54: 1059-1100.
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[22] Zhi‐Hui X., Xiaodong Li, 2011, Deformation strengthening of biopolymer in nacre, Advanced Functional Materials 21(20): 3883-3888.
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[23] Horacio D., Jee E.R., Barthelat F., Buehler M. J., 2009, Merger of structure and material in nacre and bone - Perspectives on de novo biomimetic materials, Progress in Materials Science 54(8): 1059-1100.
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[24] Bruet B.J.F., Qi H.J., Boyce M.C., Panas R., Tai K., Frick L., Ortiz C., 2005, Nanoscale morphology and indentation of individual nacre tablets from the gatropod mollusc trochus niloticus, Journal of Materials Research 20(9): 2400-2419.
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[25] Meguid S. A., Alian A. R., 2018, Micromechanics and Nanomechanics of Composite Solids, Springer.
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27
[28] Rodrigues J. R., Alves N. M., Mano J. F., 2017, Nacre-inspired Nano-Composites produced using layer-by-layer assembly: Design strategies and biomedical applications, Materials Science and Engineering C 76: 1263-1273.
28
[29] Weiss I. M., Tuross N., Addadi L., Weiner S., 2002, Mollusc larval shell formation: Amorphous calcium carbonate is a precursor phase for aragonite, Journal of Experimental Zoology 293(5): 478-491.
29
[30] Finnemore A., Cunha P., Shean T., Vignolini S., Guldin S., Oyen M., Steiner U., 2012, Biomimetic layer-by-layer assembly of artificial nacre, Nature Communications 3: 966.
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[31] Li X., Chang W.-C., Chao Y. J., Wang R., Chang M., 2004, Nanoscale structural and mechanical characterization of a natural Nano-Composite material: the shell of red abalone, Nano Letters 4(4): 613-617.
31
[32] Lee Y. H., Islam S.M., Hong S.J., Cho K.M., Math R.K., Heo J.Y., Kim H., Yun H.D., 2010, Composted oyster shell as lime fertilizer is more effective than fresh oyster shell, Biosci Biotechnol Biochem 74(8): 1517-1521.
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[35] Sumitomo T., Kakisawa H., Owaki Y., Kagawa Y., 2007, Structure of natural nano-laminar composites: TEM observation of nacre, Materials Science Forum 561-565: 713-716.
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[36] Zhang N., Yang S., Xiong L., Hong Y., Chen Y., 2016, Nanoscale toughening mechanism of nacre tablet, Journal of the Mechanical Behavior of Biomedical Materials 53: 200-209.
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[37] Lee S. W., Kim Y. M., Kim R. H., Choi C. S., 2008, Nano-structured biogenic calcite: A thermal and chemical approach to folia in oyster shell, Micron 39(4): 380-386.
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[38] Patodia S., Bagaria A., Chopra D., 2014, Molecular dynamics simulation of proteins: A brief overview, Journal of Physical Chemistry & Biophysics 4(6): 166-175.
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[39] Kizler P., Schmauder S., 2007, Simulation of the nanoin- dentation of hard metal carbide layer systems—the case of nanostructured ultra-hard carbide layer sys- tems, Computational Materials Science 39: 205-213.
39
[40] Peng P., Liao G., Shi T., Tang Z., Gao Y., 2010, Molecular dynamic simulations of nanoindentation in aluminum thin film on silicon substrate, Applied Surface Science 256(21): 6284-6290.
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[41] Ciccotti G., 2009, Molecular dynamics simulation, Journal of Micro/Nanolithography, MEMS, and MOEMS 8(2): 21151-21158.
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[42] Rocha J. R., Yang K. Z., Hilbig T., Brostow W., Simoes R., 2013, Polymer indentation with mesoscopic molecular dynamics, Journal of Materials Research 28(21): 3043-3052.
42
[43] Fang T. H., Wu J. H., 2008, Molecular dynamics simulations on Nanoindentation mechanisms of multilayered films, Computational Materials Science 43(4): 785-790.
43
[44] Peng C., Zeng F., 2017, A molecular simulation study to the deformation Behaviors and the size effect of polyethylene during Nanoindentation, Computational Materials Science 137: 225-232.
44
[45] Yu Z., Lau D., 2015, Molecular dynamics study on stiffness and ductility in chitin–protein composite, Journal of Materials Science 50(21):7149-7157.
45
[46] Jin K., Feng X., Xu Z., 2013, Mechanical properties of chitin-protein interfaces: A molecular dynamics study, BioNanoscience 3(3): 312-320.
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[47] Pharr G.M., Oliver W.C., Brotzen F.R., 1999, On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation, Journal of Materials Research 7: 613-617.
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[48] Oliver W.C., Pharr G.M., 1992, An improved technique for determination hardness and elastic modulus using load and displacment sensing indentation exprimental, Journal of Materials Research 7: 1564-1583.
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[49] Ning Zhang Y.C., 2013, Nanoscale plastic deformation mechanism in single crystal aragonite, Journal of Materials Science 48: 785-796.
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[50] Terrell E.J., Landry E., Mcgaughey A., Iii C.F.H., 2017, Molecular Dynamics Simulation of Nano Indentation.
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[51] Goel S., Haque Faisal N., Luo X., Yan J., Agrawal A., 2014, Nanoindentation of polysilicon and single crystal silicon: Molecular dynamics simulation and experimental validation, Journal of Physics D: Applied Physics 47(27): 275304.
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ORIGINAL_ARTICLE
Wave Reflection and Refraction at the Interface of Triclinic and Liquid Medium
A Mathematical model has been considered to study the reflection and refraction phenomenon of plane wave at the interface of an isotropic liquid medium and a triclinic (anisotropic) half-space. The incident plane qP wave generates three types of reflected waves namely quasi-P (qP), quasi-SV (qSV) and quasi-SH (qSH) waves in the triclinic medium and one refracted P wave in the isotropic liquid medium. Expression of phase velocities of all the three quasi waves have been calculated. It has been considered that the direction of particle motion is neither parallel nor perpendicular to the direction of propagation in anisotropic medium. Some specific relations have been established between directions of motion and propagation. The expressions for reflection coefficients of qP, qSV, qSH and refracted P waves with respect to incident qP wave are obtained. Numerical computation and graphical representations have been performed for the reflection coefficient of reflected qP, reflected qSV, reflected qSH and refraction coefficient of refracted P wave with incident qP wave.
http://jsm.iau-arak.ac.ir/article_668914_7b9b506ce9bb290766a03151c5eee8a7.pdf
2019-12-30
918
931
10.22034/jsm.2019.1865281.1413
Reflection
Refraction
Plane wave
Triclinic
S.A
Sahu
ism.sanjeev@gmail.com
1
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India
LEAD_AUTHOR
S
Karmakar
2
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India
AUTHOR
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