Numerical simulation of crack deflection and penetration at an interface in a bi-material under dynamic loading by time-domain boundary element method

Abstract

The hybrid time-domain boundary element method (BEM), together with the multi-region technique, is applied to simulate the dynamic process of crack deflection/ penetration at an interface in a bi-material. The whole bi-material is divided into two regions along the interface. The traditional displacement boundary integral equations (BIEs) are employed with respect to the exterior boundaries; meanwhile, the non-hypersingular traction BIEs are used with respect to the part of the crack in the matrix. Crack propagation along the interface is numerically modelled by releasing the nodes in the front of the moving crack tip and crack propagation in the matrix is modeled by adding new elements of constant length to the moving crack tip. The dynamic behaviours of the crack deflection/penetration at an interface, propagation in the matrix or along the interface and kinking out off the interface, are controlled by criteria developed from the quasi-static ones. The numerical results of the crack growth trajectory for different inclined interface and bonded strength are computed and compared with the corresponding experimental results. Agreement between numerical and experimental results implies that the present time-domain BEM can provide a simulation for the dynamic propagation and deflection of a crack in a bi-material.

Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading

“…An extension of this method to finite, homogenous, anisotropic and linear elastic solids containing cracks was done recently by García-Sánchez et al (2007. A time-domain BEM for crack kinking from an interface, crack deflection and penetration at an interface between two homogeneous and isotropic elastic solids was presented by Lei et al (2007Lei et al ( , 2008. A review on the recent development of the time-domain BEM and its applications to dynamic crack analysis in homogeneous, anisotropic and linear elastic solids was given by Zhang (2005).…”

Strain-rate effects on deflection/penetration of crack terminating perpendicular to bimaterial interface under dynamic loadings

“…More recently, in virtue of a high speed camera, Chalivendra and Rosakis (2008) showed that the inter-layer crack growth was a dominant dynamic failure mode for both layered materials and sandwich structures with inclined interfaces, but intra-layer cracking always occurred soon after some amount of inter-layer delamination happened. Lei et al (2008) adopted the time-domain boundary element method to simulate numerically the dynamic crack deflection/penetration behavior at an interface of a bimaterial system with different oblique angles and found that the crack can penetrate into the second phase material under some kinds of dynamic loadings.…”