反平面裂纹在裂纹自由表面附近的弹塑性分析  

Elastic-Plastic Analysis of an Antiplane Crack Near the Crack Surface Region

作　　者：易志坚[1,2] 谷建义[2] 何小兵[2] 马银华[2] 杨庆国[2] 彭凯[2] 黄锋[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》2010年第7期853-859,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10672196)

摘　　要：裂纹自由面附近的弹塑性场和弹塑性边界是裂纹弹塑性分析的重要内容,但现有的方法难以对其进行有效描述.该文发展了裂纹线场分析方法的研究思路,将裂纹面视为裂纹线的拓展部分,对理想弹塑性Ⅲ型裂纹进行了裂纹面附近弹塑性场的分析,得出了裂纹面附近弹塑性应力场、塑性区长度和弹塑性边界的单位法向量.分析结果表明,可放弃传统的小范围屈服条件.The elastic-plastic stress distribution and the elastic-plastic boundary configuration near the crack surface region are significant but hard to obtain by means of conventional analysis.The crack line analysis method was developed through considering the crack surface as an extension of the crack line.The stresses in the plastic zone,the length and the unit normal vector of the elastic-plastic boundary near the crack surface region were obtained for an antiplane crack in an elastic-perfectly plastic solid.The usual small scale yielding assumptions have been abandoned during the analysis.

关 键 词：反平面裂纹 理想弹塑性材料 裂纹面 弹塑性边界 塑性区 

分 类 号：O346.1[理学—固体力学]