| 偏心裂纹板在裂纹面受两对反平面点力的弹塑性解析解 |
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| 引用本文： | 王成,吴承平. 偏心裂纹板在裂纹面受两对反平面点力的弹塑性解析解[J]. 应用数学和力学, 2003, 24(7): 691-698 |
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| 作者姓名： | 王成 吴承平 |
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| 作者单位： | 重庆交通学院桥梁系, 重庆 400074 |
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| 摘 要： | 采用线场分析方法对理想弹塑性材料偏心裂纹板在裂纹面受两对反平面点力的情形进行弹塑性分析,分析不受小范围屈服条件的限制,求得了裂纹线附近应力场和位移场的弹塑性解析解、裂纹线上的塑性区长度随外荷载的变化规律及有限宽板具有偏心裂纹的承载力.
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| 关 键 词： | 偏心裂纹 弹塑性解析解 两对反平面点力 裂纹线分析 |
| 文章编号： | 1000-0887(2003)07-0691-08 |
| 收稿时间： | 2001-12-21 |
| 修稿时间： | 2001-12-21 |
Elastic-Plastic Analytical Solutions for an Eccentric Crack Loaded by Two Pairs of Anti-Plane Point Forces |
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| WANG Cheng,WU Cheng_ping. Elastic-Plastic Analytical Solutions for an Eccentric Crack Loaded by Two Pairs of Anti-Plane Point Forces[J]. Applied Mathematics and Mechanics, 2003, 24(7): 691-698 |
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| Authors: | WANG Cheng WU Cheng_ping |
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| Affiliation: | Bridge Department, Chongqing Jiaotong University, Chongqing 400074, P. R. China |
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| Abstract: | The improved near crack line analysis method was used to investigate an eccentric cracked plate loaded by two pairs of anti_plane point forces at the crack surface in an elastic_perfectly plastic solid.The analytical solutions of the elastic_plastic stress fields and displacements near the crack line have been found without the assumptions of the small scale yielding.The law that the length of the plastic zone along the crack line is varied with an external loads and the bearing capacity of an eccentric cracked plate are obtained. |
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| Keywords: | eccentric cracked plate near crack line analysis two pairs of anti-plane point forces elastic-plastic analytical solutions |
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