References
- J.N. Reddy and A.A. Khdeir, Buckling and vibration of laminated composite plate using various plate theories, AIAA J., vol. 27, no. 12, pp. 1808–1817, 1989.
- G. Krizhevsky and Y. Stavsky, Refined theory for vibrations and buckling of laminated isotropic annular plates, Int. J. Mech. Sci., vol. 38, no. 5, pp. 539–555, 1996.
- J. Girish and L.S. Ramachandra, Thermomechanical postbuckling analysis of symmetric and antisymmetric composite plates with imperfections, Compos. Struct., vol. 67, no. 4, pp. 453–460, 2005.
- J.N. Reddy, C.M. Wang and S. Kitipornchai, Axisymmetric bending of functionally graded circular and annular plates, Euro. J. Mech. A. Solids, vol. 18, no. 2, pp. 195–199, 1999.
- B.S.A. Shariat, R. Javaheri and M.R. Eslami, Buckling of imperfect functionally graded plates under in-plane compressive loading, Thin-Walled Structures, vol. 43, no. 7, pp. 1020–1036, 2005.
- B.S.A. Shariat and M.R. Eslami, Thermal buckling of imperfect functionally graded plates, Int. J. Solids Struct., vol. 43, nos. 14–15, pp. 4082–4096, 2006.
- L.S. Ma and T.J. Wang, Axisymmetric post-buckling of a functionally graded circular plate subjected to uniformly distributed radial compression, Mater. Sci. Forum, vol. 423–425, pp. 719–724, 2003.
- L.S. Ma and T.J. Wang, Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings, Int. J. Solids Struct., vol. 40, nos. 13–14, pp. 3311–3330, 2003.
- L.S. Ma and T.J. Wang, Relationships between the solutions of axisymmetric bending and buckling of functionally graded circular plates based on the third-order plate theory and the classical solutions for isotropic circular plates, Int. J. Solids Struct., vol. 41, no. 1, pp. 85–101, 2004.
- S. Abrate, Free vibration, buckling and static deflections of functionally graded plates, Compos. Sci. Technol., vol. 66, no. 14, pp. 2383–2394, 2006.
- C.-S Chen, Nonlinear vibration of a shear deformable functionally graded plate, Compos. Struct., vol. 68, no. 3, pp. 295–302, 2005.
- W. Lanhe, Thermal buckling of a simply supported moderately thick rectangular FGM plate, Compos. Struct., vol. 64, no. 2, pp. 211–218, 2004.
- F. Ebrahimi and A. Rastgoo, An analytical study on the free vibration of smart circular thin FGM plate based on classical plate theory, Thin-Walled Struct., vol. 46, no. 12, pp. 1402–1408, 2008.
- M.M. Najafizadeh and M.R. Eslami, Thermoelastic stability of circular plates composed of functionally graded materials based on first order theory, AIAA J., vol. 40, no. 7, pp. 1444–1450, 2002.
- M.M. Najafizadeh and M.R. Eslami, Buckling analysis of circular plates of functionally graded materials under uniform radial compression, Int. J. Mech. Sci., vol. 44, no. 12, pp. 2479–2493, 2002.
- M.M. Najafizadeh and M.R. Eslami, Thermoelaslic stability of orthotropic circular plates, J. Therm. Stresses, vol. 25, no. 10, pp. 985–1005, 2002.
- R. Javaheri and M.R. Eslami, Thermal buckling of functionaliy graded plates, AIAA J., vol. 40, no. 1, pp. 162–169, 2002.
- R. Javaheri and M.R. Eslami, Buckling of functionally graded plates under in-plane comppressive loading, ZAMM, vol. 82, no. 4, pp. 277–283, 2002.
- R. Javaheri and M.R. Eslami, Buckling of functionally graded plates under in-plane compressive loading based on various theories, Trans. ISME, vol. 6, no. 1, pp. 76–93, 2005.
- R. Javaheri and M. R. Eslami, Thermal buckling of functionally graded plates based on higher order theory, J. Therm. Stresses, vol. 25, no. 7, pp. 603–625, 2002.
- S.R. Li, J.H. Zhang and Y.G. Zhao, Nonlinear thermomechanical post-buckling of circular FGM plate with geometric imperfection, Thin-Walled Struct., vol. 45, no. 5, pp. 528–536, 2007.
- A.R. Saidi and Hasani Baferani A., Thermal buckling analysis of moderately thick functionally graded annular sector plates, Compos. Struct., vol. 92, no. 7, pp. 1744–1752, 2010.
- C.M. Wang, K.M. Liew, Y. Xiang and S. Kitipornchai, Buckling of rectangular Mindlin plates with internal supports, Int. J. Solids Struct., vol. 30, no. 1, pp. 1–17, 1993.
- H.S. Shen, Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings, Int. J. Solids Struct., vol. 42, no. 23, pp. 6101–6121, 2005.
- H.S. Shen, Postbuckling of axially loaded FGM hybrid cylindrical shells in thermal environments, Compos. Sci. Technol., vol. 65, nos. 11–12, pp. 1675–1690, 2005.
- H.S. Shen and N. Noda, Postbuckling of pressure-loaded FGM hybrid cylindrical shells in thermal environments, Compos. Struct., vol. 77, no. 4, pp. 546–560, 2007.
- K.M. Liew, J. Yang and S. Kitipornchai, Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading, Int. J. Solids Struct., vol. 40, no. 15, pp. 3869–3892, 2003.
- Q. Wang, S.T. Quek, C.T. Sun and X. Liu, Analysis of piezoelectric coupled circular plate, Smart Mater. Struct., vol. 10, no. 2, pp. 229–239, 2001.
- A.R. Khorshidvand, M. Jabbari and M.R. Eslami, Thermoelastic buckling analysis of functionally graded circular plates integrated with piezoelectric layers, J. Therm. Stresses, vol. 35, pp. 695–717, 2012.
- J.N. Reddy, Mechanics of Laminated Composite Plates and Shells, Theory and Analysis, CRC Press, New York, 2004.
- D.O. Brush and B.O. Almorth, Buckling of Bars, Plates and Shells, McGraw-Hill, New York, 1975.
- H.S. Shen, Postbuckling of shear deformable laminated plates with piezoelectric actuators under complex loading conditions, Int. J. Solids Struct., vol. 38, no. 44–45, pp. 7703–7721, 2001.
- J. Tichy, J. Erhart, E. Kittinger and J. Pirivratska, Fundamentals of Piezoelectric Sensorics, Mechanical, Dielectric, and Thermodynamical Properties of Piezoelectric Materials, Springer, New York, 2010.