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http://dx.doi.org/10.12989/sem.2016.60.2.271

Investigation of buckling behavior of functionally graded piezoelectric (FGP) rectangular plates under open and closed circuit conditions  

Ghasemabadian, M.A. (Department of Mechanical Engineering, Ferdowsi University of Mashhad)
Kadkhodayan, M. (Department of Mechanical Engineering, Ferdowsi University of Mashhad)
Publication Information
Structural Engineering and Mechanics / v.60, no.2, 2016 , pp. 271-299 More about this Journal
Abstract
In this article, based on the higher-order shear deformation plate theory, buckling analysis of a rectangular plate made of functionally graded piezoelectric materials and its effective parameters are investigated. Assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for the buckling analysis of an FGP rectangular plate are established. In addition to the Maxwell equation, all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. Considering double sine solution (Navier solution) for displacement field and electric potential, an analytical solution is obtained for full simply supported boundary conditions. The accurate buckling load of FGP plate is presented for both open and closed circuit conditions. It is found that the critical buckling load for open circuit is more than that of closed circuit in all loading conditions. Furthermore, it is observed that the influence of dielectric constants on the critical buckling load is more than those of others.
Keywords
buckling; functionally graded piezoelectric; rectangular plate; dielectric constants; piezoelectric constants; analytical solution;
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1 Abdollahi, M., Saidi, A. and Mohammadi, M. (2015), "Buckling analysis of thick functionally graded piezoelectric plates based on the higher-order shear and normal deformable theory", Acta Mechanica, 226(8), 1-14.   DOI
2 Akbarov, S.D. and Yahnioglu, N. (2013a), "Buckling delamination of a sandwich plate-strip with piezoelectric face and elastic core layers", Appl. Math. Model., 37(16), 8029-8038.   DOI
3 Akgoz, B. and Civalek, O. (2014a), "Thermo-mechanical buckling behavior of functionally graded microbeams embedded in elastic medium", Int. J. Eng. Sci., 85, 90-104.   DOI
4 Akhras, G. and Li, W. (2010a), "Three-dimensional thermal buckling analysis of piezoelectric antisymmetric angle-ply laminates using finite layer method", Compos. Struct., 92(1), 31-38.   DOI
5 Batra, R. and Geng, T. (2001a), "Enhancement of the dynamic buckling load for a plate by using piezoceramic actuators", Smart Mater. Struct., 10(5), 925-933.   DOI
6 Bodaghi, M. and Saidi, A. (2010b), "Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory", Appl. Math. Model., 34(11), 3659-3673.   DOI
7 Brush, D.O. and Almroth, B. (1979), Buckling of Bars, Plates, and Shells, McGraw-Hill, New York.
8 Chandrashekhara, K. and Bhatia, K. (1993), "Active buckling control of smart composite plates-finiteelement analysis", Smart Mater. Struct., 2(1), 31-39.   DOI
9 Civalek, O. (2004a), "Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns", Eng. Struct., 26(2), 171-186.   DOI
10 Civalek, O., Korkmaz, A. and Demir, C. (2010c), "Discrete singular convolution approach for buckling analysis of rectangular Kirchhoff plates subjected to compressive loads on two-opposite edges", Adv. Eng. Softw., 41(4), 557-560.   DOI
11 Ebrahimi, F., Rastgoo, A. and Atai, A. (2009a), "A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate", Euro. J. Mech. A/Solid., 28(5), 962-973.   DOI
12 Jalili, N. (2009b), Piezoelectric-based vibration control: from macro to micro/nano scale systems, Springer Science & Business Media.
13 Fereidoon, A., Yaghoobi, H. and Dehghanian, A. (2014b), "An analytical approach for buckling behavior of temperature-dependent laminated piezoelectric functionally graded plates under thermo-electromechanical loadings and different end supports", Int. J. Comput. Meth., 11(04), 1350099.   DOI
14 Hosseini-Hashemi, S., Khorshidi, K. and Amabili, M. (2008a), "Exact solution for linear buckling of rectangular Mindlin plates", J. Sound Vib., 315(1), 318-342.   DOI
15 Jadhav, P. and Bajoria, K. (2013b), "Stability analysis of piezoelectric FGM plate subjected to electromechanical loading using finite element method", Int. J. Appl. Sci. Eng., 11(4), 375-391.
16 Javaheri, R. and Eslami, M. (2002a), "Thermal buckling of functionally graded plates", AIAA J., 40(1), 162-169.   DOI
17 Javaheri, R. and Eslami, M. (2002b), "Thermal buckling of functionally graded plates based on higher order theory", J. Therm. Stress., 25(7), 603-625.   DOI
18 Jones, R.M. (2006a), Buckling of bars, plates, and shells, Bull Ridge Corporation.
19 Kapuria, S. and Achary, G. (2006b), "Nonlinear coupled zigzag theory for buckling of hybrid piezoelectric plates", Compos. Struct., 74(3), 253-264.   DOI
20 Kim, G.W. and Lee, K.Y. (2008b), "Influence of weak interfaces on buckling of orthotropic piezoelectric rectangular laminates", Compos. Struct., 82(2), 290-294.   DOI
21 Kim, S.E., Thai, H.T. and Lee, J. (2009c), "Buckling analysis of plates using the two variable refined plate theory", Thin Wall. Struct., 47(4), 455-462.   DOI
22 Mohammadi, M., Saidi, A. and Jomehzadeh, E. (2010d), "A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224(9), 1831-1841.   DOI
23 Kuo, S.R. and Yau, J. (2012), "Buckling equations of orthotropic thin plates", J. Mech., 28(03), 555-567.   DOI
24 Lanhe, W. (2004b), "Thermal buckling of a simply supported moderately thick rectangular FGM plate", Compos. Struct., 64(2), 211-218.   DOI
25 Mirzavand, B. and Eslami, M. (2011a), "A closed-form solution for thermal buckling of piezoelectric FGM rectangular plates with temperature-dependent properties", Acta Mechanica, 218(1-2), 87-101.   DOI
26 Mohammadi, M., Saidi, A.R. and Jomehzadeh, E. (2010e), "Levy solution for buckling analysis of functionally graded rectangular plates", Appl. Compos. Mater., 17(2), 81-93.   DOI
27 Panahandeh-Shahraki, D., Mirdamadi, H.R. and Vaseghi, O. (2014c), "Fully coupled electromechanical buckling analysis of active laminated composite plates considering stored voltage in actuators", Compos. Struct., 118, 94-105.   DOI
28 Rad, A.A. and Panahandeh-Shahraki, D. (2014d), "Buckling of cracked functionally graded plates under tension", Thin Wall. Struct., 84, 26-33.   DOI
29 Shariat, B.S. and Eslami, M. (2007), "Buckling of thick functionally graded plates under mechanical and thermal loads", Compos. Struct., 78(3), 433-439.   DOI
30 Shariyat, M. (2009d), "Dynamic buckling of imperfect laminated plates with piezoelectric sensors and actuators subjected to thermo-electro-mechanical loadings, considering the temperature-dependency of the material properties", Compos. Struct., 88(2), 228-239.   DOI
31 Shen, H.S. (2005), "Postbuckling of FGM plates with piezoelectric actuators under thermo-electromechanical loadings", Int. J. Solid. Struct., 42(23), 6101-6121.   DOI
32 Shariyat, M. (2009e), "Vibration and dynamic buckling control of imperfect hybrid FGM plates with temperature-dependent material properties subjected to thermo-electro-mechanical loading conditions", Compos. Struct., 88(2), 240-252.   DOI
33 Shen, H.S. (2001b), "Postbuckling of shear deformable laminated plates with piezoelectric actuators under complex loading conditions", Int. J. Solid. Struct., 38(44), 7703-7721.   DOI
34 Shen, H.S. (2001c), "Thermal postbuckling of shear-deformable laminated plates with piezoelectric actuators", Compos. Sci. Tech., 61(13), 1931-1943.   DOI
35 Shen, H.S. (2009f), "A comparison of buckling and postbuckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators", Compos. Struct., 91(3), 375-384.   DOI
36 Sheng, G. and Wang, X. (2010f), "Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells", Appl. Math. Model., 34(9), 2630-2643.   DOI
37 Varelis, D. and Saravanos, D.A. (2004c), "Coupled buckling and postbuckling analysis of active laminated piezoelectric composite plates", Int. J. Solid. Struct., 41(5), 1519-1538.   DOI
38 Yang, Y. (1998), "Buckling of a piezoelectric plate", Int. J. Appl. Electromag. Mech., 9(40), 399-408.
39 Yoo, C.H. and Lee, S. (2011b), Stability of structures: principles and applications, Elsevier.