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Acta Mechanica Sinica

, Volume 4, Issue 1, pp 22–34 | Cite as

Plane stress dynamic fields near a propagating crack-tip in a power-law material

  • Zhang Zimao
  • Gao Yuchen
Article

Abstract

Based on the plastic-dynamic equations, the asymptotic behaviour of the near-tip fields for a plane stress tensile crack propagating in a power-law material has been studied in this paper. It is shown that the stress and strain singularities are, respectively, of the order\(\left( {\ln \frac{A}{r}} \right)^{\frac{1}{{n - 1}}} \) and\(\left( {\ln \frac{A}{r}} \right)^{\frac{n}{{n - 1}}} \), whereA is a constant which is related to the size of plastic region,r is the distance to the crack tip,n is the power-law exponent.

Key words

power-law material strain singularity singularity-factor elastic region plastic region 

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References

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1988

Authors and Affiliations

  • Zhang Zimao
    • 1
  • Gao Yuchen
    • 1
  1. 1.Harbin Shipbuilding Engineering InstituteHarbonChina

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