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

Philippe H Geubelle, Wolfgang G. Knauss

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)61-98
Number of pages38
JournalJournal of Elasticity
Volume35
Issue number1-3
DOIs
StatePublished - Jan 1 1994
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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