Ⅲ型裂纹弹塑性场在裂纹线附近匹配方程的一般形式  

General Forms of Elastic-Plastic Matching Equations for Mode-Ⅲ Cracks Near the Crack Line

作　　者：易志坚[1,2] 赵朝华[2] 杨庆国[2] 彭凯[2] 黄宗明[1] 

机构地区：[1]重庆大学土木学院,重庆400044 [2]重庆交通大学土木建筑学院,重庆400074

出　　处：《应用数学和力学》2009年第5期515-524,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10672196)

摘　　要：针对理想弹塑性Ⅲ型裂纹问题,对线场分析方法的步骤和匹配过程进行了凝练和归纳,给出了裂纹线附近塑性场、弹塑性边界、弹塑性匹配方程的一般形式及其一般求解步骤,将不同条件下的Ⅲ型裂纹问题归结为由4个匹配方程确定4个待定常数,并通过一个具体问题,验证了这一方法的正确性、简明性和通用性.To address mode- Ⅲ crack problems under elastic-perfectly plastic condition, the matching procedures of the crack line analysis method was summafized and refined to give the general forms and formulation steps of plastic field, elastic-plastic boundary and elastic-plastic matching equations near the crack line. The work unified the different-condition mode- Ⅲ crack problems as determining 4 integral constants through 4 Inatching equations. An example was demonstrated to verify the correct- ness, conciseness and generality of the procedure.

关 键 词：Ⅲ型裂纹 理想弹塑性 线场分析方法 裂纹线 塑性区 

分 类 号：O346.1[理学—固体力学]