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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (5): 549-559.doi: https://doi.org/10.1007/s10483-009-0502-2

• Articles • 上一篇    下一篇

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

易志坚1,2 赵朝华1 杨庆国1 彭凯1 黄宗明2   

  1. 1. School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, P. R. China;
    2. School of Civil Engineering, Chongqing University, Chongqing 400044, P. R. China
  • 收稿日期:2008-02-28 修回日期:2009-04-02 出版日期:2009-05-01 发布日期:2009-05-01

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

Zhi-Jian YI1,2, Chao-Hua ZHAO1, Qing-Guo YANG1, Kai PENG,1 Zong-Ming HUANG2   

  1. 1. School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, P. R. China;
    2. School of Civil Engineering, Chongqing University, Chongqing 400044, P. R. China
  • Received:2008-02-28 Revised:2009-04-02 Online:2009-05-01 Published:2009-05-01

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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 are 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

Abstract: 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 are 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.

Key words: mode-III crack, elastic-perfectly plastic material, crack line analysis, crack line, plastic zone

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