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Title: Integral equations of a cohesive zone model for history-dependent materials and their numerical solution
Authors: Hakim, L
Mikhailov, SE
Keywords: cohesive zone;viscoelastic materials;Volterra integral operator
Issue Date: 2015
Publisher: Oxford University Press
Citation: The Quarterly Journal of Mechanics and Applied Mathematics, 2015, pp. hbv013 - hbv013
Abstract: A nonlinear history-dependent cohesive zone (CZ) model of quasi-static crack propagation in linear elastic and viscoelastic materials is presented. The viscoelasticity is described by a linear Volterra integral operator in time. The normal stress on the CZ satisfies the history-dependent yield condition, given by a nonlinear Abel-type integral operator. The crack starts propagating, breaking the CZ, when the crack tip opening reaches a prescribed critical value. A numerical algorithm for computing the evolution of the crack and CZ in time is discussed along with some numerical results.
ISSN: 0033-5614
Appears in Collections:Dept of Mathematics Research Papers

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