摘要
On condition that the perfectly plastic stress component at a crack tip was a function of plane polar angle only, and made use of equilibrium equations, anisotropic plastic stress-strain-rate relations, compatibility equations and Hill anisotropic plastic yield condition, the generally analytical expressions of the anisotropic plastic stress field at a mixed-mode crack tip under plane and anti-plane strain were obtained. Applying these expressions to the mixed-mode cracks, the analytical expressions of anisotropic plastic stress fields at the tips of mixed-mode I-III, II-III and I-II-III cracks were derived.
On condition that the perfectly plastic stress component at a crack tip was a function of plane polar angle only, and made use of equilibrium equations, anisotropic plastic stress-strain-rate relations, compatibility equations and Hill anisotropic plastic yield condition, the generally analytical expressions of the anisotropic plastic stress field at a mixed-mode crack tip under plane and anti-plane strain were obtained. Applying these expressions to the mixed-mode cracks, the analytical expressions of anisotropic plastic stress fields at the tips of mixed-mode I-III, II-III and I-II-III cracks were derived.