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