Modeling of localization using Nash variational formulations: The extended damage mechanics

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datacite.alternateIdentifier.citationENGINEERING FRACTURE MECHANICS,Vol.258,,2021
datacite.alternateIdentifier.doi10.1016/j.engfracmech.2021.108083
datacite.creatorPicon, Ricardo A.
datacite.creatorSantos, Danilo M.
datacite.creatorTeles, Daniel V. C.
datacite.creatorAmorim, David L. N. F.
datacite.creatorZhou, Xuhong
datacite.creatorBai, Yongtao
datacite.creatorProenca, Sergio P. B.
datacite.creatorFlorez Lopez, Julio
datacite.date2021
datacite.subject.englishDamage mechanics
datacite.subject.englishFracture mechanics
datacite.subject.englishFinite element analysis
datacite.subject.englishNash formulation
datacite.subject.englishLocalization bands
datacite.subject.englishMesh independence
datacite.titleModeling of localization using Nash variational formulations: The extended damage mechanics
dc.date.accessioned2021-12-15T13:24:51Z
dc.date.available2021-12-15T13:24:51Z
dc.description.abstractIt is assumed in this paper that energy dissipation is a two-phase phenomenon. During the prelocalization stage, dissipation is a continuous process. After localization, it is lumped in surfaces of zero volume. To describe this process, it is proposed a new formulation called extended damage mechanics. The new framework incorporates the additional terms of lumped energy dissipation into a weak form of the damage evolution law. The variational formulation allowing for this approach characterizes the solution as a non-cooperative equilibrium point. This concept is also named after its inventor, the mathematician John Forbes Nash, as Nash point. Finally, numerical implementation of the extended damage mechanics is performed to describe the objectivity of the numerical simulations with respect to the finite element meshes in some practical cases of solids and structures.
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/4471
dc.language.isoen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.sourceENGINEERING FRACTURE MECHANICS
oaire.resourceTypeArticle
uct.indizacionSCI
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