Hybrid Fundamental-Solution-Based FEM for Piezoelectric Materials

Abstract

This chapter deals with the hybrid fundamental-solution-based finite element method (HFS-FEM) for modeling piezoelectric materials. The linear piezoelectric theory is reviewed and applied in deriving the corresponding HFS-FEM. A modified variational functional is proposed and discussed for the new model. The assumed intra-element displacement fields are presented to satisfy a priori the governing equations of the problem using a linear combination of the fundamental solutions at a number of source points located outside the element domain. To ensure the continuity of fields over interelement boundaries, conventional shape functions are employed to construct the independent element frame displacement fields defined over the element boundary.