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http://bura.brunel.ac.uk/handle/2438/11587
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. |
URI: | http://qjmam.oxfordjournals.org/content/early/2015/09/30/qjmam.hbv013.full.pdf+html http://bura.brunel.ac.uk/handle/2438/11587 |
DOI: | http://dx.doi.org/10.1093/qjmam/hbv013 |
ISSN: | 0033-5614 1464-3855 |
Appears in Collections: | Dept of Mathematics Research Papers |
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Fulltext.pdf | 1.48 MB | Adobe PDF | View/Open |
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