Dynamic crack analysis in layered piezoelectric composites under time-harmonic loading

摘要

In this paper, time-harmonic dynamic crack analysis in two-dimensional (2D), layered and linear piezoelectric composites is presented. A frequency-domain symmetric Galerkin boundary element method (SGBEM) is developed for this purpose. The piecewise homogeneous sub-layers of the piezoelectric composites are modeled by the multi-domain BEM formulation. The frequency-domain dynamic fundamental solutions for linear piezoelectric materials are applied in the present BEM. The boundary integral equations are solved numerically by a Galerkin-method using quadratic elements. An iterative solution algorithm is implemented to consider the non-linear semi-permeable electrical crack-face boundary conditions. Numerical examples will be presented and discussed to show the influences of the location and size of the crack, the material combination of the sub-layers, the piezoelectric effect and the time-harmonic dynamic loading on the dynamic intensity factors.