Abstract: 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=c or 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.

Key words: compressible two-phase flow, relaxation process, approximate Riemann solver