偏心裂纹板在裂纹面受一对集中拉应力作用时弹塑性解析解  

ELASTIC-PLASTIC ANALYTICAL SOLUTION FOR AN ECCENTRIC CRACK LOADED PLATE BY A PAIR OF TENSILE POINT FORCES

作　　者：周小平[1] 张永兴[1] 朱可善[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《固体力学学报》2005年第3期267-272,共6页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金(50378096)资助

摘　　要：利用裂纹线场方法对理想弹塑性材料偏心裂纹板在裂纹面受一对集中拉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、最大塑性区长度、裂纹线上的塑性区长度随荷载的变化规律及其承载力.该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 an eccentric crack loaded by a pair of tensile point forces in a finite plate in an elastic-perfectly plastic materials, and the analytical solution are obtained in this paper. The solutions include ： the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near crack line the variation, law of the plastic zone along the crack line with external loads, the maximum lengths of the plastic zone, the bearing capacity of a finite plate with an eccentric crack loaded by a pair of tensile point forces etc. The results of this paper are sufficiently precise near the crack line because neither the assumption of the small scale yielding theory nor other assumptions have been taken .

关 键 词：裂纹线场方法 弹塑性解析解 一对集中拉力 偏心裂纹 裂纹面 裂纹板 应力作用 对集 偏心 理想弹塑性材料 

分 类 号：O346.1[理学—固体力学] TM22[理学—力学]