Mixed-Mode Crack-Tip Fields in an Anisotropic Functionally Graded Material

Abstract

This paper provides asymptotic full crack-tip stress field solutions for an in-plane mixed-mode stationary crack in an anisotropic functionally graded material. A monoclinic graded material that has a material symmetry plane is considered. The complex variable approach and the asymptotic scaling factor are used to solve the governing fourth-order partial differential equation for exponentially graded anisotropic materials with gradation either parallel or perpendicular to the crack. Full crack-tip stress fields under mode-I and mode-II loading are visualized and discussed for homogeneous and exponentially graded anisotropic materials. We observe that higher-order terms are affected by material gradation and play an important role on crack-tip stress fields in functionally graded materials.