Journal of Elasticity

, Volume 76, Issue 2, pp 163–189 | Cite as

On the Path of a Quasi-static Crack in Mode III



A method for finding the path of a quasi-static crack growing in a brittle body is presented. The propagation process is modelled by a sequence of discrete steps optimizing the elastic energy released. An explicit relationship between the optimal growing direction and the parameters defining the local elastic field around the tip is obtained for an anti-plane field. This allows to describe a simple algorithm to compute the crack path.


crack propagation discrete model singular fields linear elasticity 


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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Departamento de Matemática Aplicada, Facultad de MatemáticasUniversidad Complutense de MadridMadridSpain
  2. 2.Max Planck Institute for Mathematics in the SciencesLeipzigGermany

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