Finite strains at the tip of a crack in a sheet of hyperelastic material: III. General bimaterial case

Philippe H. Geubelle, Wolfgang G. Knauss

Research output: Contribution to journalArticlepeer-review

Abstract

In this last in a series of three papers, we summarize an asymptotic analysis of the near-tip stress and deformation fields for an interface crack between two sheets of Generalized Neo-Hookean materials. This investigation, which is consistent with the nonlinear elastostatic theory of plane stress, allows for an arbitrary choice, on both sides of the three parameters characterizing this class of hyperelastic materials. The first three terms of the approximation series are obtained, showing the existence of a non-oscillatory and contact-free solution to the interface crack problem. The analytical results are compared with a full-field solution obtained numerically using the finite element method.

Original languageEnglish (US)
Pages (from-to)139-174
Number of pages36
JournalJournal of Elasticity
Volume35
Issue number1-3
DOIs
StatePublished - Jan 1994
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • General Materials Science

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