Transient stress intensity factors of an anti‐plane crack propagating in anisotropic layered media

Abstract

The transient analysis of dynamic anti-plane propagation in an anisotropic layered medium is investigated in this study. The complete effects of reflections and diffractions of stress waves that are generated from the interfaces of the anisotropic layered medium and the crack are considered. A modified linear coordinate transformation is introduced and it is successful in reducing the anisotropic layered medium problem to an equivalent isotropic problem with a similar geometry configuration. Besides, a useful fundamental solution is proposed and the solution can be determined by superposition of the fundamental solution in the Laplace transform domain. The influence of the reflected waves generated from interface boundaries on the propagating crack tip is analyzed. Analytical transient solutions for dynamic stress intensity factors of the propagating crack are expressed in compact formulations and are valid for an infinite length of time. Numerical results indicate that the reflected waves have significant influence on the stress intensity factors of propagating cracks.