Study on Stress Solution Precision of the Plastic Range near Mode-I Crack Line under Unidirectional Uniform Stress

Abstract

For imprecise stress solution of the plastic zone near mode-I crack line of infinite wide plate under unidirectional uniform stress in relevant research literatures, this paper, by virtue of Mohr-Coulomb yield criterion and line field analytical method, re-infers and solves the stress general solution of the plastic zone satisfying equilibrium equation and yield criterion, as well as the stress solution and the elastic-plastic boundary of the plastic zone (scope of the plastic zone), points out unreasonable points in relevant research literatures, solves the similarities and differences about the stress solution of the plastic zone near mode-I crack line with Tresca yield criterion and Mohr-Coulomb yield criterion under unidirectional tension and press, and corrects imprecise results about the stress solution of the plastic zone near mode-I crack line of infinite wide plate under unidirectional uniform stress in relevant research literatures.