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Globally stable quasi static evolution for strain gradient plasticity coupled with damage

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dc.contributor.advisor
dc.contributor.author Crismale, Vito
dc.date.accessioned 2015-08-06T08:52:37Z
dc.date.available 2015-08-06T08:52:37Z
dc.date.issued 2015
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/34482
dc.description.abstract Abstract. Weconsiderevolutionsforamaterialmodelwhichcouplesscalardamage with strain gradient plasticity, in small strain assumptions. For strain gradient plasticity, we follow the Gurtin-Anand formulation [Gurtin-Anand 2005]. The aim of the present model is to account for different phenomena: on the one hand the elastic stiffness reduces and the plastic yield surface shrinks due to material’s degradation, on the other hand the dislocation density affects the damage growth. The main result of this paper is the existence of a globally stable quasistatic evolution (in the so- called energetic formulation). Furthermore we study the limit model as the strain gradient terms tend to zero. Under stronger regularity assumptions, we show that the evolutions converge to the ones for the coupled elastoplastic–damage model studied in [Crismale, 2014]. en_US
dc.description.sponsorship Project “Calculus of Variations” 2010-11, supported by the Italian Ministry of Education, University, and Research, GNAMPA en_US
dc.language.iso en_US en_US
dc.subject variational models, quasistatic evolution, energetic solutions, strain gradient plas- ticity, damage models, incomplete damage, softening en_US
dc.title Globally stable quasi static evolution for strain gradient plasticity coupled with damage en_US
dc.type Preprint en_US
dc.subject.miur MAT/05 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US


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