关于平面应变和反平面应变复合型裂纹尖端的理想塑性应力场

文献[1]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、应力应变率关系、相容方程和屈服条件导出了平面应变和反平面应变复合型裂纹尖端的理想塑性应力场的一般解析表达式。但文献[1]对应力应变率关系式中的比例因子λ(r,θ)作了很多限制,即假定λ与θ无关,并假定λ=c或cr-1。本文取消了对λ的这些限制。而文献[1]所研究的λ=crn(n=0或-1)的情形,只是本文的一个特殊情况。

On Perfectly Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain

In[1],under the condition that all the perfectly plastic stress components at a crack tip are functions of θ only,making use of equilibrium equations,stress-strain rate relations,compatibility equations and yield condition,Lin derived the general analytical expressions of the perfectly plastic stress field at a mixed-mode crack tip under plane and anti-plane strain.But in[1] there were several restrictions on the proportionality factor λ in the stress-strain rate relations,such as supposing that λ is independent of θ and supposing that λ=cor cr-1.In this paper,we abolish these restrictions.The cases in[1],λ=crn(n=0 or-1) are the special cases of this paper.