Transient response of a piezoelectric solid with multiple cracks under impact loading

Atime domain numericalmethod is proposed to study the dynamic interaction of multiple planar cracks in a piezoelectric solid. Arbitrary oriented planar cracks, which are acted upon by a transient load, in an infinite piezoelectric space is considered. By using the reciprocity theorem and the technique of integral by part, a time domain singular integral equations are obtained. Convolution quadrature method are applied to discrete the time convolution and Gauss Chebyshev method are applied to approximate the singular spatial integral. Numerical examples are carried out to examine the accuracy of the proposed method. And numerical results show the dynamic interaction of the cracks under impact loading.