| 反平面裂纹在裂纹自由表面附近的弹塑性分析 |
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| 引用本文： | 易志坚,谷建义,何小兵,马银华,杨庆国,彭凯,黄锋,黄宗明. 反平面裂纹在裂纹自由表面附近的弹塑性分析[J]. 应用数学和力学, 2010, 31(7): 853-859. DOI: 10.3879/j.issn.1000-0887.2010.07.010 |
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| 作者姓名： | 易志坚 谷建义 何小兵 马银华 杨庆国 彭凯 黄锋 黄宗明 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 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．
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| 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 |
| 收稿时间： | 1900-01-01 |
Elastic-Plastic Analysis of an Antiplane Crack Near the Crack Surface Region |
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| YI Zhi-jian,GU Jian-yi,HE Xiao-bing,MA Ying-hua,YANG Qing-guo,PENG Kai,HUANG Feng,HUANG Zong-ming. Elastic-Plastic Analysis of an Antiplane Crack Near the Crack Surface Region[J]. Applied Mathematics and Mechanics, 2010, 31(7): 853-859. DOI: 10.3879/j.issn.1000-0887.2010.07.010 |
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| Authors: | YI Zhi-jian GU Jian-yi HE Xiao-bing MA Ying-hua YANG Qing-guo PENG Kai HUANG Feng HUANG Zong-ming |
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| Affiliation: | School of Civil Engineering, Chongqing University, Chongqing 400044, P. R. China; |
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| Abstract: | The elastic-plastic stress distribution and the elastic-plastic boundary configuration near the crack surface region are sign ificant 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. |
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