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

Philippe H. Geubelle; Wolfgang G. Knauss

doi:10.1007/BF00115540

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

Philippe H. Geubelle, Wolfgang G. Knauss

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	99-137
Number of pages	39
Journal	Journal of Elasticity
Volume	35
Issue number	1-3
DOIs	https://doi.org/10.1007/BF00115540
State	Published - Jan 1994
Externally published	Yes

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

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10.1007/BF00115540

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

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