DYNAMIC ANALYSIS OF SEMI-PERMEABLE CRACKS IN PIEZOELECTRIC SOLIDS BY A HYPERSINGULAR TIME-DOMAIN BEM

摘要

In this paper we present a time-domain boundary element method (TDBEM) for dynamic crack analysis in plane linear piezoelectric materials using different linear and non-linear electrical crack-face boundary conditions. Stationary cracks under impact loading are considered. The time-domain dynamic fundamental solutions for piezoelectric solids are used in the present method. The spatial discretization is performed by a Galerkin-method while a collocation method is adopted for the temporal discretization. An explicit time-stepping scheme is obtained to compute the unknown boundary data and an iterative algorithm is developed to solve the non-linear semi-permeable electrical crack-face boundary conditions.