Asymptotic behavior of the far stress field in the problem of crack growth in a damaged medium under creep conditions

An asymptotic analysis of stress fields, creep-strain rates, and continuity in the vicinity of the tip of a crack that grows under creep conditions is performed with allowance for accumulation of dissipated damages. The configuration of a region of a fully damaged material adjacent to the crack edges and its tip is determined and studied. It is shown that the Hutchinson–Rice–Rosengren solution cannot be used as the boundary condition at an infinite point, and a new asymptotic representation of the far stress field, governing the geometry of the region of the fully damaged material, is obtained.