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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (2): 173-179.

• 论文 • 上一篇    下一篇

THE ASYMPTOTIC SOLUTION TO THE ANTIPLANE SHEAR DYNAMIC CRACK-TIP FIELD IN AN ELASTIC STRAIN-SOFTENING VISCOPLASTIC MATERIAL

李范春, 齐辉   

  1. Harbin Engineering University, Harbin 150001, P. R. China
  • 收稿日期:1994-02-18 修回日期:1995-11-10 出版日期:1997-02-18 发布日期:1997-02-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of Heilongjiang in P. R. China

THE ASYMPTOTIC SOLUTION TO THE ANTIPLANE SHEAR DYNAMIC CRACK-TIP FIELD IN AN ELASTIC STRAIN-SOFTENING VISCOPLASTIC MATERIAL

Li Fanchun, Qi Hui   

  1. Harbin Engineering University, Harbin 150001, P. R. China
  • Received:1994-02-18 Revised:1995-11-10 Online:1997-02-18 Published:1997-02-18
  • Supported by:
    Project supported by the National Natural Science Foundation of Heilongjiang in P. R. China

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摘要： The elastic strain sofening-viscoplastic model is given in this paper. Using thismodel, the asymptotic Stress and strain equations surrounding the tip of a propagatingcrack are given and numerical results are obtained under antiplane shear. The analysisand calculation show that at the crack tip the Strain possesses logarithmic singularity(In(R/r))1/(n+1) while the stress is like (In(R/r))-n/(n+1), therefore theasymptotic behaviour of the elastic strain-sofening viscoplastic field is revealed underthe antiplane shear.

Abstract: The elastic strain sofening-viscoplastic model is given in this paper. Using thismodel, the asymptotic Stress and strain equations surrounding the tip of a propagatingcrack are given and numerical results are obtained under antiplane shear. The analysisand calculation show that at the crack tip the Strain possesses logarithmic singularity(In(R/r))1/(n+1) while the stress is like (In(R/r))-n/(n+1), therefore theasymptotic behaviour of the elastic strain-sofening viscoplastic field is revealed underthe antiplane shear.

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