有限宽裂纹板受一对集中剪力时弹塑性解

针对运用断裂力学传统方法进行裂纹尖端的弹塑性应力场分析均为小范围塑性区的假定，不能准确反映塑性区应力情况的问题，利用裂纹线场分析方法，对理想弹塑性材料的有限宽平面板在裂纹面受到一对集中剪力作用时裂纹线附近的应力场及弹塑性边界进行了分析。不采用小范围塑性区的假设，直接通过将裂纹线附近弹塑性边界上弹性应力场与塑性应力场的匹配，获得了裂纹线附近弹塑性应力场的解析解以及弹塑性边界上单位法向量的表达式。用裂纹线分析方法可以准确地反映裂纹附近的弹塑性应力分布，该种方法的应用将成为断裂力学的一个重要发展方向，对石油天然气构造应力分析、材料力学分析具有参考价值。

Elastic-plastic Analysis for a Finite Crack Plate Loaded by a Pair of Shear Forces

The hypothesis of small yielding conditions is used in the stress analysis near crack in traditional mechanics,while the near crack line analysis method gives out this hypothesis.So the near crack line analysis method is used to investigate a crack loaded by a pair of point shear forces in an finite plate with an eccentric crack in an elastic-plastic solids.The analytical solution of the stress near crack line and precise analysis of the elastic-plastic boundary are obtained.The research gives out the hypothesis of small yielding conditions.On the basis of the near crack line analysis method，the elastic-plastic stress fields near crack line is analyzed，and the law that the length of the plastic zone along the crack line varied with an external loads is established by the matching condition of the elastic-plastic fields on the boundary.