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Rate-independent damage in thermo-viscoelastic materials with inertia

Show simple item record Lazzaroni, Giuliano Rossi, Riccarda Thomas, Marita Toader, Rodica 2014-10-15T09:00:42Z 2014-10-15T09:00:42Z 2014-10-15
dc.description.abstract We present a model for rate-independent, unidirectional, partial damage in visco-elastic materials with inertia and thermal effects. The damage process is modeled by means of an internal variable, governed by a rate-independent flow rule. The heat equation and the momentum balance for the displacements are coupled in a highly nonlinear way. Our assumptions on the corresponding energy functional also comprise the case of the Ambrosio-Tortorelli phase-field model (without passage to the brittle limit). We discuss a suitable weak formulation and prove an existence theorem obtained with the aid of a (partially) decoupled time-discrete scheme and variational convergence methods. We also carry out the asymptotic analysis for vanishing viscosity and inertia and obtain a fully rate-independent limit model for displacements and damage, which is Independent of temperature. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;52/2014/MATE
dc.subject Partial damage en_US
dc.subject Rate-independent systems en_US
dc.subject Elastodynamics en_US
dc.subject Phase-field models en_US
dc.subject Heat equation en_US
dc.subject Energetic solutions en_US
dc.subject Local solutions en_US
dc.title Rate-independent damage in thermo-viscoelastic materials with inertia en_US
dc.type Preprint en_US

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