English

Energy minimizing brittle crack propagation II

Analysis of PDEs 2007-05-23 v1

Abstract

The paper is devoted to the study of quasi-static brittle crack evolution. We work under the following assumptions: a linear elastic body, with or without initial cracks inside, evolves in a quasi-static manner under an imposed path of boundary displacements. During its evolution cracks with unprescribed geometry may appear and/or grow. This is an alternative version of the published article [Bu3], containing an improved Mumford-Shah model based on the functional K2, a generalization of the integral J of Rice. Further information at http://irmi.epfl.ch/cag/buliga_bfrac.html or http://www.imar.ro/~marius/ .

Keywords

Cite

@article{arxiv.math/0511301,
  title  = {Energy minimizing brittle crack propagation II},
  author = {Marius Buliga},
  journal= {arXiv preprint arXiv:math/0511301},
  year   = {2007}
}
R2 v1 2026-07-22T17:27:17.151Z