Rate-independent damage in thermo-viscoelastic materials with inertia
| dc.contributor.author | Lazzaroni, Giuliano | |
| dc.contributor.author | Rossi, Riccarda | |
| dc.contributor.author | Thomas, Marita | |
| dc.contributor.author | Toader, Rodica | |
| dc.date.accessioned | 2014-10-15T09:00:42Z | |
| dc.date.available | 2014-10-15T09:00:42Z | |
| dc.date.issued | 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.identifier.uri | https://openscience.sissa.it/handle/1963/7444 | |
| 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 |