EFG based stability analysis of piezoelectric FGM plates subjected to electricity, heat and non-uniformly distributed loads

摘要

This paper presents the buckling analysis of the piezoelectric functionally graded material (FGM) rectangular plates subjected to non-uniformly distributed loads, heat and voltage based on the mesh-free method. A two-step solution procedure is implemented. The first step is to determine the pre-buckling stresses of the plates subjected to non-uniformly distributed loads. The second step is to solve the buckling loads and buckling temperatures. The variational form of the system for the calculation of pre-buckling stresses is based on a two-dimensional (2D) plane stress problem, and the variational form with penalty method of the plates for the calculation of buckling loads and buckling temperatures is based on the Mindlin plate assumption. The displacement is approximated using the moving least squares (MLS) technique based on a set of scattered nodes. Two numerical examples are presented to validate the proposed mesh-free method.