Short communication: The generalized finite difference method for electroelastic of 2D structures

Simulating the response of piezoelectric devices requires solving the coupled mechanical and electrical partial differential equations. This short communication documents the first attempt to apply the meshless generalized finite difference method (GFDM) for the electroelastic analysis of piezoelectric structures. In the present method, the entire computational domain is represented by a cloud of scattered nodes and the field variables are interpolated in terms of the values of nodes in its supporting domain based on the local Taylor series expansion and the moving least squares approximation. Emphasis is placed on the application of the GFDM to obtain the coupled elastic and electric fields. The present results agree pretty well with those of the exact solutions as well as the finite element method (FEM) calculated by using ABAQUS.