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Fracture and plastic models as Gamma-limits of damage models under different regimes

TitleFracture and plastic models as Gamma-limits of damage models under different regimes
Publication TypeJournal Article
Year of Publication2011
AuthorsIurlano, F
JournalAdvances in Calculus of Variations., to appear.
Abstract

We consider a variational model for damaged elastic materials. This model depends on three small parameters, which are related to the cost of the damage, to the width of the damaged regions, and to the minimum elasticity constant attained in the damaged regions. As these parameters tend to zero, our models Gamma-converge to a model for brittle fracture, for fracture with a cohesive zone, or for perfect plasticity, depending on the asymptotic ratios of the three parameters.

URLhttp://hdl.handle.net/1963/5069
DOI10.1515/acv-2011-0011

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