A crack in an infinite isotropic two-dimensional solid

Abstract

The stress field in an infinite linear elastic solid with uniform stresses σ ^∞ _ij at infinity and containing a crack with a unit normal n, can be represented as a superposition of (1) the homogeneous state σ ^∞ _ij and (2) the stress state in a solid with stresses vanishing at infinity and the crack faces loaded by tractions niσ ^∞ _ij . This latter problem is considered.