General forms of elastic-plastic matching equations for mode-Ⅲ cracks near crack line  

作　　者：易志坚 赵朝华 杨庆国 彭凯 黄宗明 

机构地区：[1]School of Civil Engineering and Architecture,Chongqing Jiaotong University [2]School of Civil Engineering,Chongqing University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第5期549-559,共11页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.10672196)

摘　　要：Crack line analysis is an effective way to solve elastic-plastic crack problems. Application of the method does not need the traditional small-scale yielding conditions and can obtain sufficiently accurate solutions near the crack line. To address mode- Ⅲ crack problems under the perfect elastic-plastic condition, matching procedures of the crack line analysis method axe summarized and refined to give general forms and formulation steps of plastic field, elastic-plastic boundary, and elastic-plastic matching equations near the crack line. The research unifies mode-III crack problems under different conditions into a problem of determining four integral constants with four matching equations. An example is given to verify correctness, conciseness, and generality of the procedure.Crack line analysis is an effective way to solve elastic-plastic crack problems. Application of the method does not need the traditional small-scale yielding conditions and can obtain sufficiently accurate solutions near the crack line. To address mode- Ⅲ crack problems under the perfect elastic-plastic condition, matching procedures of the crack line analysis method axe summarized and refined to give general forms and formulation steps of plastic field, elastic-plastic boundary, and elastic-plastic matching equations near the crack line. The research unifies mode-III crack problems under different conditions into a problem of determining four integral constants with four matching equations. An example is given to verify correctness, conciseness, and generality of the procedure.

关 键 词：mode-Ⅲ crack elastic-perfectly plastic material crack line analysis crack line plastic zone 

分 类 号：O346.1[理学—固体力学]