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dc.contributor.authorKatsaounis, Theodoros
dc.contributor.authorLee, Min-Gi
dc.contributor.authorTzavaras, Athanasios
dc.date.accessioned2017-03-07T06:26:18Z
dc.date.available2016-09-04T07:01:35Z
dc.date.available2017-03-07T06:26:18Z
dc.date.issued2016-09-18
dc.identifier.citationKatsaounis T, Lee M-G, Tzavaras A (2017) Localization in inelastic rate dependent shearing deformations. Journal of the Mechanics and Physics of Solids 98: 106–125. Available: http://dx.doi.org/10.1016/j.jmps.2016.08.015.
dc.identifier.issn0022-5096
dc.identifier.doi10.1016/j.jmps.2016.08.015
dc.identifier.urihttp://hdl.handle.net/10754/619754
dc.description.abstractMetals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure. We verify formation of shear bands for a nonlinear model exhibiting strain softening and strain rate sensitivity. The effects of strain softening and strain rate sensitivity are first assessed by linearized analysis, indicating that the combined effect leads to Turing instability. For the nonlinear model a class of self-similar solutions is constructed, that depicts a coherent localizing structure and the formation of a shear band. This solution is associated to a heteroclinic orbit of a dynamical system. The orbit is constructed numerically and yields explicit shear localizing solutions. © 2016 Elsevier Ltd
dc.description.sponsorshipResearch supported by King Abdullah University of Science and Technology (KAUST).
dc.language.isoen
dc.publisherElsevier BV
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0022509616303337
dc.relation.urlhttps://appliedpde.kaust.edu.sa/Pages/KLT_JMPS2016.aspx
dc.relation.urlhttps://arxiv.org/abs/1605.04564
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of the Mechanics and Physics of Solids. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of the Mechanics and Physics of Solids, 17 September 2016. DOI: 10.1016/j.jmps.2016.08.015
dc.subjectHadamard instability
dc.subjectShear bands
dc.subjectShear localization
dc.subjectStrain-rate sensitivity
dc.subjectTuring instability
dc.titleLocalization in inelastic rate dependent shearing deformations
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalJournal of the Mechanics and Physics of Solids
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mathematics and Applied Mathematics, University of Crete, Heraklion, Greece
dc.contributor.institutionInstitute of Applied and Computational Mathematics, FORTH, Heraklion, Greece
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.arxividarXiv:1605.04564
kaust.personKatsaounis, Theodoros
kaust.personLee, Min-Gi
kaust.personTzavaras, Athanasios
dc.date.published-online2016-09-18
dc.date.published-print2017-01
dc.date.posted2016-05-15


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