Transient dynamic interface crack analysis in magnetoelectroelastic bi-materials by a time-domain BEM

Abstract

Abstract This paper aims to gain a deeper insight into the effects of the poling directions, the volume fractions and the combined loading parameters on the dynamic field intensity factors at the interfacial crack-tips in two dimensional, piecewise homogeneous and magnetoelectroelastic composite bi-materials under the combined magnetoelectromechanical impact loadings. For this purpose, a time-domain boundary element method (BEM) together with the sub-domain technique is applied. The present time-domain BEM uses a quadrature formula for the temporal discretization to approximate the convolution integrals and a collocation method for the spatial discretization. Quadratic quarter-point elements are implemented at the interfacial crack-tips. An explicit displacement extrapolating formula is proposed to determine the dynamic field intensity factors of stresses, electrical displacements and magnetic inductions at the interfacial crack-tips. Numerical examples for different poling directions, different volume fractions and different combined loading parameters are presented and discussed. Based on these numerical results, some useful conclusions are drawn on the effects of various material and loading combinations on the dynamic field intensity factors.