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General Form of Matching Equation of Elastic-Plastic Field Near Crack Line for Mode I Crack under Plane Stress Condition

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Abstract

Crack line field analysis method has become an independent method for crack elastic-plastic analysis, which greatly simplifies the complexity of crack elastic-plastic problems and overcomes the corresponding mathematical difficulty. With this method, the precise elastic-plastic solutions near crack lines for variety of crack problems can be obtained. But up to now all solutions obtained by this method were for different concrete problems, no general steps and no general form of matching equations near crack line are given out. With crack line analysis method, this paper proposes the general steps of elastic-plastic analysis near crack line for mode I crack in elastic-perfectly plastic solids under plane stress condition, and in turn given out the solving process and result for a specific problem.

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References

  1. Achenbach J D, Li Z L. Plane stress crack line fields for crack growth in an elastic-perfectly plastic material [J]. Engineering Fracture Mechanics, 1984,20(3):534–544.

    Google Scholar 

  2. GUO Quan-xin, LI Ke-rong. Plastic deformation ahead of a plane stress tensile crack growth in an elastic-perfectly plastic solid [J]. Engineering Fracture Mechanics, 1987,28(2):139–146.

    Google Scholar 

  3. YI Zhi-jian. The precise and new analysis for a mode III growing crack in an elastic-perfectly plastic solid [J]. Applied Mathematics and Mechanics (English Edition), 1993,14(4):345–352.

    Google Scholar 

  4. YI Zhi-jian. The most recent solutions of near crack line fields for mode III cracks [J]. Engineering Fracture Mechanics, 1994,47(1):147–155.

    Google Scholar 

  5. YI Zhi-jian, WANG Shi-jie, WU Heng-li. Precise elastic-plastic analysis of crack line field for mode II plane strain crack [J]. International Journal of Fracture, 1996,80:353–363.

    Google Scholar 

  6. YI Zhi-jian. WANG Shi-jie, WANG Xiang-jian. Precise solutions of elastic-plastic crack line fields for cracked plate loaded by antiplane point forces [J]. Engineering Fracture Mechanics, 1997,57(1):75–83.

    Google Scholar 

  7. YI Zhi-jian. Elastic-plastic analysis of a mode I cracked plate under plane stress condition, [J]. Journal of Southwest Jiaotong University, 1998,33(1):82–87.(in Chinese)

    Google Scholar 

  8. Drucker D C, Rice J R. Plastic deformation in brittle and ductile fracture [J]. Engineering Fracture Mechanics, 1969,1:577–602.

    Google Scholar 

  9. YI Zhi-jian, WANG Shi-jie. Exact solution of near crack line fields for mode I crack under plane stress condition in an elastic-perfectly plastic solid [J]. Applied Mathematics and Mechanics (English Edition), 1996,17(4):351–358.

    Google Scholar 

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Authors and Affiliations

  1. Department of Bridge and Structure Engineeing, Chongqing Jiaotong University, Chongqing, 400074, P R China

    Zhi-jian Yi

  2. Department of Engineering Mechanics, Chongqing University, Chongqing, 400044, P R China

    Bo Yan

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  1. Zhi-jian Yi
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  2. Bo Yan
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Yi, Zj., Yan, B. General Form of Matching Equation of Elastic-Plastic Field Near Crack Line for Mode I Crack under Plane Stress Condition. Applied Mathematics and Mechanics 22, 1173–1182 (2001). https://doi.org/10.1023/A:1016397300663

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  • DOI: https://doi.org/10.1023/A:1016397300663

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