摘要
在裂纹尖端的应力分量都只是θ的函数的条件下,利用平衡方程和静水应力相关屈服条件,本文导出了静止平面应力裂纹尖端的静水应力相关理想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具体裂纹,我们就得到Ⅰ型和Ⅱ型裂纹尖端的静水应力相关理想塑性应力场的解析表达式.
Under the condition that all the stress components at a crack-tip are the functions of 9 only, making use of equilibrium equations and hydrostatic stress-dependent yield condition, in this paper, we derive the generally analytical expressions of the hydrostatic stress-dependent perfectly-plastic stress fields at a stationary plane-stress crack-tip Applying these generally analytical expressions to the concrete cracks, the analytical expressions of hydrostatic stress-dependent perfectly-plastic stress fields at the tips of mode I and mode II cracks are obtained.
出处
《应用数学和力学》
CSCD
北大核心
1992年第8期741-744,共4页
Applied Mathematics and Mechanics
关键词
静水应力相关
平面应力
裂纹尖端
hydrostatic stress-dependent, perfectly-plastic stress field, plane-stress,crack tip
