Ⅰ型平面应力裂纹弹塑性场在裂纹线附近匹配方程的一般形式  

General Form of Matching Equation of Elastic-Plastic Field Near Crack Line for Mode Ⅰ Crack Under Plane Stress Condition

作　　者：易志坚[1] 严波[2] 

机构地区：[1]重庆交通学院桥梁及结构工程系,重庆400074 [2]重庆大学工程力学系,重庆400044

出　　处：《应用数学和力学》2001年第10期1058-1066,共9页Applied Mathematics and Mechanics

基　　金：交通部重点项目资助课题 (95_0 4_0 6_14 )

摘　　要：裂纹线场分析方法目前已发展成为裂纹弹塑性分析的一种独立方法 ,这一方法极大地简化了裂纹弹塑性问题的复杂性和数学上的困难 ,可求出各型裂纹的弹塑性场在裂纹线附近足够精确的解答·　但是 ,以前采用这一方法求解时 ,均是针对一些具体问题进行的 ,没有给出裂纹线附近弹塑性分析的一般步骤和匹配方程的一般形式·　该文针对理想弹塑性Ⅰ型平面应力裂纹问题 ,按线场分析方法 ,给出了裂纹线附近弹塑性分析一般步骤 ,并针对一具体问题 ,给出了求解的过程和结果·Crack line field analysis method has become an independent method for crack elastic_plastic analysis, which greatly simplifies the complexity of crack elastic_plastic problems and overcomes the corresponding mathematical difficulty. With this method, the precise elastic_plastic solutions near crack lines for variety of crack problems can be obtained. But up to now all solutions obtained by this method were for different concrete problems, no general steps and no general form of matching equations near crack line are given out. With crack line analysis method, this paper proposes the general steps of elastic_plastic analysis near crack line for mode Ⅰ crack in elastic_perfectly plastic solids under plane stress condition, and in turn given out the solving process and result for a specific problem.

关 键 词：裂纹 弹塑性 线场分析方法 裂纹线 平面应力 

分 类 号：O346.1[理学—固体力学]