On crack propagation shapes in elastic bodies

M. Brokate, A. Khludnev

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We consider a two dimensional elastic Isotropic body with a curvilinear crack, The formula for the derivative of the energy functional with respect to the crack length is discussed. It is proved that this derivative is independent of the crack path provided that we consider quite smooth crack propagation shapes. An estimate for the derivative of the energy functional being uniform with respect to the crack propagation shape is derived.

Original languageEnglish
Pages (from-to)318-329
Number of pages12
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume55
Issue number2
DOIs
StatePublished - Mar 2004

Keywords

  • Crack propagation
  • Fracture mechanics
  • Griffith criterion
  • Linear elasticity
  • Shape dependence

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