On an Antiplane Crack Problem for Functionally Graded Elastic Materials

Abstract

This paper examines an antiplane crack problem for a functionally graded anisotropic elastic material in which the elastic moduli vary quadratically with the spatial coordinates. A solution to the crack problem is obtained in terms of a pair of integral equations. An iterative solution to the integral equations is used to examine the effect of the anisotropy and varying elastic moduli on the crack tip stress intensity factors and the crack displacement.2000 Mathematics subject classification: primary 35J25; secondary 74B05, 74E10.