Giuliano Lazzaroni (SISSA, Trieste): Rate-independent damage in thermo-viscoelastic materials with iniertia

Mittwoch, 03.12.2014 17:15 im Raum M4
Mathematik und Informatik

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. Joint work with R. Rossi, M. Thomas, and R. Toader.

Angelegt am Donnerstag, 20.11.2014 08:34 von cgiet_01
Geändert am Donnerstag, 20.11.2014 08:35 von cgiet_01
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