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Finite strains at the tip of a crack in a sheet of hyperelastic material: II. Special bimaterial cases

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An asymptotic analysis of the strain and stress near-tip fields for a crack in a sheet of Generalized Neo-Hookean materials is presented in this second in a series of three papers. The analysis is based on the nonlinear plane stress theory of elasticity and concerns two special cases of the interface crack problem: in the first situation both components have the same “hardening” behavior; next, we investigate the particular case of a sheet of Generalized Neo-Hookean material bonded to a rigid substrate. The transition between the two special cases is studied in detail. The analytical results are also compared with a full-field finite element solution.

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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: II. Special bimaterial cases. J Elasticity 35, 99–137 (1994). https://doi.org/10.1007/BF00115540

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  • DOI: https://doi.org/10.1007/BF00115540

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