Dynamic Response of Functionally Graded Circular Plate under Thermal Shock

Abstract

Dynamic response of a functionally graded material circular plate subjected to thermal shock is investigated based on the von Karman’s plate theory. The geometric imperfections of the plate are taken into account and the bottom surface of the circular plate is subjected to uniform thermal shock loadings. The deflections of dynamic response are obtained by numerically solving the governing equations using series expansions and Runge-Kutta method. The effects of the material constitution and initial geometric imperfection of the plate on the dynamic response are discussed. Introduction Comprehensive works on the transient response of structures under thermal shock have been reported in the literature. Most of these researches are involved the conventional composite materials or homogeneous materials. Huang and Duan[1] studied the dynamic buckling of a circular copper plate under laser irradiation. Based on the fully coupled thermoelastic theory, thermal dynamic stability of symmetrically laminated orthotropic rectangular plates subjected to an oscillating thermal load was analyzed by Markus, et al. [2]. Functionally graded materials (FGM) have been regarded as one of the advanced inhomogeneous composite materials, usually made from metal and ceramic, taking advantage of the merits of constituent materials adequately. However, there have been few researches involving dynamic stability of FGM structures under thermal shock. Based on the classical shell theory with Sanders’ nonlinear kinematic relations, a dynamic thermal post-buckling behavior of functionally graded cylindrical shells subjected to the combined action of thermal load and applied actuator voltage was analyzed by Mirzavand, et al. [3]. A finite difference based method combined with the Runge–Kutta method was employed to predict the post-buckling equilibrium paths. On the basis of the third-order shear deformation shell theory, Mirzavand, et al. [4] obtained the piezoelectric functionally graded cylindrical shell buckling equilibrium paths and dynamic buckling temperature. Mehrian and Naei[5] studied dynamic response of functionally graded partial annular disk under radial thermal shock by using a hybrid Fourier-Laplace transform in conjunction with finite element approach. In the present paper, the dynamic response of imperfect circular FGM plates under thermal shock is investigated. Some regular conclusions are achieved through analyzing and discussing the numerical solutions in detail.