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Plane stress dynamic fields near a propagating crack-tip in a power-law material
Authors:Zhang Zimao  Gao Yuchen
Institution:(1) Harbin Shipbuilding Engineering Institute, Harbon, China;(2) Present address: Department of Mechanics, Harbin Institute of Technology, Harbin, China
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. Projects sponsored by the National Science Foundation.
Keywords:power-law material  strain singularity  singularity-factor  elastic region  plastic region
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