平面应变和反平面应变复合型裂纹尖端的各向异性塑性应力场

Anisotropic Plastic Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain

在裂纹尖端的理想塑性应力分量都只是θ的函数的条件下,利用平衡方程,各向异性塑性应力应变率关系、相容方程和Hill各向异性屈服条件,本文导出了平面应变和反平面应变复合型裂纹尖端的各向异性塑性应力场的一般解析表达式.将这些一般解析表达式用于复合型裂纹,我们就可以得到Ⅰ—Ⅲ、Ⅱ—Ⅲ及Ⅰ—Ⅱ—Ⅲ复合型裂纹尖端的各向异性塑性应力场的解析表达式.

On condition that any perfectly plastic stress component at a crack tip is nothing but the function of 0, by making use of equilibrium equation, anisotropic plastic stress-strain-rate relations, compatibility equations and Hill anisotropic plastic yield condition, in this paper, we derive the generally analytical expressions of the anisotropic plastic stress field at a mixed-mode crack tip under plane and anti-plane strain. Applying these generally analytical expressions to the mixed-mode cracks, we can obtain the analytical expressions of anisotropic plastic stress fields at the tips of mixed-mode I-III. II-III and I-II-III cracks.