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Effects of finite chain extensibility on the stress fields near the tip of a mode III crack

Rong Long and Chung-Yuen Hui
Proceedings: Mathematical, Physical and Engineering Sciences
Vol. 467, No. 2135 (8 November 2011), pp. 3170-3187
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/23065655
Page Count: 18
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Effects of finite chain extensibility on the stress fields near the tip of a mode III crack
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Abstract

We carried out a detailed analysis of the asymptotic stress and deformation fields at the tip of a mode III crack in a hyperelastic solid described by Gent's model. This model accounts for finite chain extensibility so that the deformation everywhere in the solid, including the crack tip, is bounded. We also present an exact solution for the 'small-scale yielding' problem where the region of large deformation is small compared with specimen dimensions. Our result shows that the crack tip stress field is non-separable. In addition, an infinite number of parameters are needed to completely specify the angular variation of crack tip stress field.

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