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.
Keywords: HFS-FEM, Piezoelectric material, Fundamental solution.
