静止平面应力裂纹尖端的各向异性塑性应力场的补充研究(Ⅰ)

Supplementary Study on Anisotropic Plastic Stress Fields at a Stationary Plane-Stress Crack-Tip(Ⅰ)

文献[1]的结果对α≥2情形不适用.为此,我们用文献[1]的方法导出了α=2和α>2两者的静止平面应力裂纹尖端的各向异性塑性应力场的一般表达式.作为实例,我们给出了α=2的静止平面应力Ⅰ型和Ⅱ型裂纹尖端的各向异性塑性应力场的解析表达式.

The results in ref. [1] are not suitable for the cases of a>2. For this reason, we use the method in ref. [1] to derive the general expressions of the anisotropic plastic stress fields at a stationary plane-stress crack-tip for both the cases of a=2 and a>2. As an example, we give the analytical expressions of the anisotropic plastic stress fields at the stationary tips of mode I and mode II plane-stress cracks for the case of a = 2.