Abstract: By applying the double Fourier series as the displacement mode and the Galerkin procedure the exact solution of the non-linear post-buckling of transversely isotropic piezoelectric rectangular thin plates under simply supported boundary conditions and unilateral pressure is obtained．Numerical results show that the effect of geo-metry parameters on the post-buckling path are similar to those of homogenous material thin plates‚the post-buckling loads is proportional to the piezoelectric-dielectric parameter and the material resonance phenomena is observed as well．The effects of parameters of the material and geometry on the characteristics of the post-buckling path are also presented．

Key words: piezoelectric material, post-buckling, thin plates, nonlinear