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Finite strains at the tip of a crack in a sheet of hyperelastic material: I. Homogeneous case

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Abstract

This paper describes an asymptotic analysis of the strain and stress fields at the tip of a crack in a sheet of incompressible hyperelastic material. The investigations are carried out within the framework of finite elastostatics and for the class of Generalized Neo-Hookean materials. Both the symmetric (mode I) and non-symmetric (mixed-mode) cases are considered. It is shown that the latter situation corresponds locally to a rigid body rotation of the symmetric fields. The effect of the “hardening” parameter on crack tip blunting is investigated analytically and numerically.

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Author notes

  1. Philippe H. Geubelle

    Present address: Division of Applied Sciences, Harvard University, 02138, Cambridge, MA, USA

Authors and Affiliations

  1. California Institute of Technology, 91125, Pasadena, CA, USA

    Philippe H. Geubelle & Wolfgang G. Knauss

Authors
  1. Philippe H. Geubelle
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  2. Wolfgang G. Knauss
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Geubelle, P.H., Knauss, W.G. Finite strains at the tip of a crack in a sheet of hyperelastic material: I. Homogeneous case. J Elasticity 35, 61–98 (1994). https://doi.org/10.1007/BF00115539

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  • DOI: https://doi.org/10.1007/BF00115539

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