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

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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.

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Authors and Affiliations

  1. School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing, 400074, P. R. China

    Zhi-jian Yi  (易志坚), Chao-hua Zhao  (赵朝华), Qing-guo Yang  (杨庆国) & Kai Peng  (彭凯)

  2. School of Civil Engineering, Chongqing University, Chongqing, 400044, P. R. China

    Zhi-jian Yi  (易志坚) & Zong-ming Huang  (黄宗明)

Authors
  1. Zhi-jian Yi  (易志坚)
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  2. Chao-hua Zhao  (赵朝华)
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  3. Qing-guo Yang  (杨庆国)
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  4. Kai Peng  (彭凯)
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  5. Zong-ming Huang  (黄宗明)
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Corresponding author

Correspondence to Zhi-jian Yi  (易志坚).

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(Contributed by Zhi-jian YI)

Project supported by the National Natural Science Foundation of China (No. 10672196)

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Yi, Zj., Zhao, Ch., Yang, Qg. et al. General forms of elastic-plastic matching equations for mode-III cracks near crack line. Appl. Math. Mech.-Engl. Ed. 30, 549–559 (2009). https://doi.org/10.1007/s10483-009-0502-2

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  • DOI: https://doi.org/10.1007/s10483-009-0502-2

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2000 Mathematics Subject Classification

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