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arXiv · 1403.3708

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

L. Hakim·S. E. Mikhailov
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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.

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L. Hakim, S. E. Mikhailov. 2014-03-14. Numerical Implementation of a Cohesive Zone Model in History-Dependent Materials. https://doi.org/10.1093/qjmam%2Fhbv013

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