2-D transient dynamic analysis of cracked piezoelectric solids by a time-domain BEM

Abstract

Transient dynamic crack analysis of two-dimensional (2-D), homogeneous and linear piezoelectric solids is presented in this paper. For this purpose, a time-domain boundary element method (BEM) is developed. The method uses a combination of the strongly singular displacement boundary integral equations (BIEs) and the hypersingular traction BIEs. On the external boundary of the cracked solid strongly singular displacement BIEs are used, while on the crack-faces hypersingular traction BIEs are applied. A convolution quadrature formula is applied for the temporal discretization, while a collocation method is adopted for the spatial discretization. The accuracy of the present time-domain BEM is verified by using numerical results obtained by the finite element method (FEM). Numerical examples are presented and discussed to show the effects of the mechanical and the electrical impact loading on the dynamic intensity factors.