Dynamic Response of a Crack in a Functionally Graded Material under an Anti-Plane Shear Impact Load

摘要

This paper presents a transient dynamic crack analysis for a functionally graded material (FGM) by using a meshless method based on the local boundary integral equations. The spatial variation of material parameters of the FGM can be arbitrary. The nodal points needed in the proposed method are randomly spread over the domain of the analyzed body. Every node is surrounded by a circular surface centered at the collocation point, and the boundary integral equation is applied to the boundary of subdomain (artificial boundary). The local boundary integral equations (LBIE) are written in the Laplace transform domain. A simple fundamental solution corresponding to the Laplace operator is used to derive the LBIE. The Stehfest inversion algorithm is applied to obtain the time-dependent solutions.