I型平面应力有限宽裂纹板弹塑性分析

ElasticPlastic Analysis of Mode I Cracked Plate with Finite Dimensions under Plane Stress Conditions

采用线场分析方法对受单向均匀拉伸的理想弹塑性Ｉ型平面应力有限宽中心裂纹板条进行了分析，完全放弃了小范围屈服条件，得出了塑性应力场、塑性区长度、弹塑性边界单位法向量在裂纹线附近足够精确的解答。当板宽趋于无限大时，即可得到相应的无限大裂纹板的解答。

A plane stress central cracked plate with finite width under uniaxial tension in an elasticperfectly plastic solid is analyzed by using the near crack line analysis method without employing the usual small scale yielding conditions. The stresses in the plastic zone, the size of the plastic zone and the unit normal vector of the elasticplastic boundary, which a sufficiently precise near the crack line region are obtained. When the width of the plate approaches infinity, the corresponding solutions for a cracked plate with infinite dimensions are available.