On crack propagation shapes in elastic bodies

Original paper

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.

Mathematics Subject Classification (2000):

35J55 74B05 74R99 

Keywords.

Griffith kriterion crack propagation shape dependence linear elasticity fracture mechanics 

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Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  1. 1.Zentrum Mathematik, TU MünchenGarching bei MünchenGermany
  2. 2.Lavrentyev Institute of Hydrodynamics of the Russian Academy of SciencesNovosibirskRussia

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