Numerical simulations of a dynamically propagating crack with a nonlinear cohesive zone

摘要

Numerical solutions of a dynamic crackpropagation problem are presented. Specifically, a mode III semi-infinite crack is assumed to be moving in a unboundedhomogeneous linear elastic continuum while the crack tipconsists of a nonlinear cohesive (or failure) zone. The numericalresults are obtained via a novel semi-analytical technique basedon complex variables and integral transforms. The relationbetween the properties of the failure zone and the resulting crackgrowth regime are investigated for several rate independent aswell as rate dependent cohesive zone models. Based on obtainedresults, an hypotenuses is formulated to explain the origin of thecrack tip velocity periodic fluctuations that have been detected inrecent dynamic crack propagation experiments.