Institute of Applied Mechanics, National Taiwan University

摘要

A novel formulation for two-dimensional self-similar anisotropic elastodyamic problems is generalized to piezoelectric materials. By making use of the formulation, the general solution of the displacements is expressed in terms of the eigenvalues and eigenvectors of a related eight-dimensional eigenvalue problem. Without the need of performing integral transforms as required in the well-known Cagniard-de Hoop method, the present formulation can be utilized to obtain expressions of analytical solutions directly. In the study, the method is applied to derive the explicit dynamic Green's functions in the piezoelectric half-space. Numerical examples for the quartz of the semi-infinite region are illustrated.