The more precise crack line analyses for antiplane quasistatically propagating crack

Abstract

Achenbach and Dunayevsky [1], and Guo and Li [2] investigated the near crack line fields of stress and deformation for an antiplane growing crack in an elastic perfectly-plastic material. In both [1] and [2], the elastic dominant terms (K-dominated terms) of the stress and deformation fields have been used to match with the plastic fields at the elastic plastic boundary. In this paper, the K-dominated terms have not been adopted but the precise elastic solutions for cracked bodies have been used as the elastic fields outside the crack-tip plastic region. Thus the solutions of this paper are more reasonable than the solutions of [1] and [2] for an antiplane quasistatically growing crack in an elastic perfectly-plastic material.