Numerical study of 3-D anisotropic piezoelectric materials by boundary element method based on a new green function

Abstract

In this paper, an explicit Green function in terms of the Stroh eigenvalues and eigenvectors for generally anisotropic piezoelectric materials is derived. Based on this, the displacement boundary integral equation is solved numerically by a collocation method. The new type of Green function for 3-D anisotropic piezoelectric materials is successfully incorporated to a boundary element program. By using the developed boundary element program, the mechanical and electric variables of 3-D piezoelectric cylinder are obtained and the results are compared with the corresponding analytical solutions and other numerical results by FEM. These results are agreed very well, which shows the precision and efficiency of the present method.