Abstract
The elastic strain softening-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 (ln(R/r))1/(n+1) while the stress is like (ln(R/r))−n/(n+1), therefore the asymptotic behaviour of the elastic strain-softening viscoplastic field is revealed under the antiplane shear.
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Communicated by Yeh Kaiyuan
Project supported by the National Natural Science Foundation of Heilongjiang in P. R. China
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Fanchun, L., Hui, Q. The asymptotic solution to the antiplane shear dynamic crack-tip field in an elastic strain-softening viscoplastic material. Appl Math Mech 18, 173–179 (1997). https://doi.org/10.1007/BF02458017
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DOI: https://doi.org/10.1007/BF02458017