Li Fanchun, Qi Hui. The Asymptotic Solution to the Antiplane Shear Dynamic Crack-Tip Field in an Elastic Strain-Softening Viscoplastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(2): 161-167.
Citation: Li Fanchun, Qi Hui. The Asymptotic Solution to the Antiplane Shear Dynamic Crack-Tip Field in an Elastic Strain-Softening Viscoplastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(2): 161-167.

The Asymptotic Solution to the Antiplane Shear Dynamic Crack-Tip Field in an Elastic Strain-Softening Viscoplastic Material

  • Received Date: 1994-02-18
  • Rev Recd Date: 1995-11-10
  • Publish Date: 1997-02-15
  • The elastic strain sofening-viscoplastic model is given in this paper. Using this model, the asymptotic stress and strain equations surrounding the tip of a propagating crack are given and numerical results are obtained under antiplane shear. The analysis and 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.
  • loading
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    Y.C.Gao,The asymptotic solution to the dynamic crack tip field in a strain dynamic material,Int,J.Engng,Sci,,6(1986),1045.
    [3]
    Y.C.Gao,Uniparameter plastic field near a dynamic crack tip,Mechanics Research Communication,1(1988),307-313.
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