裂纹面受两对集中剪力作用下的弹塑性分析  

ELASTOPLASTIC ANALYSIS OF AN INFINITE PLATE WITH A CRACK LOADED BY TWO PAIRS OF CONCENTRATED SHEAR FORCES

作　　者：周小平[1] 张永兴[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《工程力学》2006年第12期14-18,共5页Engineering Mechanics

基　　金：国家自然科学基金资助(50378096)

摘　　要：利用裂纹线场方法对理想弹塑性材料无限大板受两对集中剪力问题进行了弹塑性分析,并且获得了理论解。这个解包括:裂纹线附近弹塑性边界上的单位法向矢量、裂纹线附近的弹塑性解析解、裂纹线上的塑性区长度随荷载的变化规律及其承载力。分析不受小范围屈服假设的限制,并且不附加假使条件。结果在裂纹线附近足够精确。The near crack line analysis method is used to investigate a crack loaded by two pairs of point shear forces in an elastic-perfectly plastic infinite plate. The analytical solutions are obtained. The solutions include： the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near the crack line, the variation law of the length of the plastic zone along the crack line with external loads, and the bearing capacity. The results are sufficiently precise near the crack line since the assumption of the small scale yielding theory is not used and no other assumptions are made.

关 键 词：裂纹线场方法 两对集中剪力 弹塑性解 塑性区长度 承载力 

分 类 号：O346.1[理学—固体力学]