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Numerical Implementation of a Cohesive Zone Model in History-Dependent Materials

Numerical Analysis 2018-07-31 v1

Abstract

A non-linear history-dependent cohesive zone model of crack propagation in linear elastic and visco-elastic materials is presented. The viscoelasticity is described by a linear Volterra integral operator in time. The normal stress on the cohesive zone satisfies the history dependent yield condition, given by a non-linear Abel-type integral operator. The crack starts propagating, breaking the cohesive zone, when the crack tip opening reaches a prescribed critical value. A numerical algorithm for computing the evolution of the crack and cohesive zone in time is discussed along with some numerical results.

Keywords

Cite

@article{arxiv.1403.3708,
  title  = {Numerical Implementation of a Cohesive Zone Model in History-Dependent Materials},
  author = {L. Hakim and S. E. Mikhailov},
  journal= {arXiv preprint arXiv:1403.3708},
  year   = {2018}
}