519 Plane Elastic Analysis for Inhomogeneous Semi-Infinite Medium with a Griffith Crack Subjected to Tension

Abstract

In this paper, an isothermal plane elastic problem of an inhomogeneous medium is dealt. As an analytical model, the plane elastic problem is considered for a semi-infinite medium with a Griffith crack in arbitrary position subjected to tension on the boundary surface. Making use of the fundamental equations system, which is already established in our previous paper, the analytical solution for such singular stress field is successfully developed. Carrying out numerical calculation, the effect of inhomogeneity in the material properties upon the elastic behaviors is discussed.