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The finite deformation field surrounding a mode I plane strain crack in a hyperelastic incompressible material under small-scale nonlinearity

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Abstract

A finite deformation analysis of a plane strain mode I crack in a hyperelastic incompressible material is presented. The nonlinear crack tip field was characterized in terms of its region of dominance under the assumptions of small-scale nonlinearity and compared to the theoretical dominant asymptotic solution for this problem. The influence of the material law (linear vs. third order) on the nonlinear crack tip field was also discussed. The finite element results for the third order material law determined that the maximum stress in the load direction was found along the deformed crack flank behind the crack tip. A local cavitation surface surrounding the crack tip was identified using the linear material law, enabling prediction of potential sites of cavitation.

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Authors and Affiliations

  1. U.S. Army Research Laboratory, Watertown Site, 02172, Watertown, Massachussetts, USA

    Claudia J. Quigley & David M. Parks

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  1. Claudia J. Quigley
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  2. David M. Parks
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Quigley, C.J., Parks, D.M. The finite deformation field surrounding a mode I plane strain crack in a hyperelastic incompressible material under small-scale nonlinearity. Int J Fract 65, 75–96 (1994). https://doi.org/10.1007/BF00017144

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  • DOI: https://doi.org/10.1007/BF00017144

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