期刊
EXTREME MECHANICS LETTERS
卷 4, 期 -, 页码 131-155出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.eml.2015.06.002
关键词
Finite strain; Crack tip fields; Asymptotic analysis; Hyperelasticity; Strain hardening
资金
- U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering [DE-FG02-07ER46463]
- University of Colorado Boulder
We review analytical solutions for the asymptotic deformation and stress fields near the tip of a crack in soft elastic solids. These solutions are based on finite strain elastostatics and hyperelastic material models, and exhibit significantly different characteristics than the classical crack tip field solutions in linear elastic fracture mechanics. Specifically, we summarize some available finite strain crack tip solutions for two dimensional cracks, namely that plane strain, plane stress, and anti-plane shear cracks in a certain class of homogeneous materials. Interface cracks between soft elastic solids and a rigid substrate are also discussed. We focus on incompressible material models with various degrees of strain stiffening effect such as generalized neo-Hookean model, exponentially hardening model and Gent model. We also explored the physical implications of the crack tip fields, and highlighted pitfalls in the applications of these solutions, particularly the J-integral and the distribution of true stress in the deformed configuration which have not been discussed in the literature. (C) 2015 Published by Elsevier Ltd.
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