A temperature-dependent phase-field model for phase separation and damage

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Date
2015
Volume
2164
Issue
Journal
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

In this paper we study a model for phase separation and damage in thermoviscoelastic materials. The main novelty of the paper consists in the fact that, in contrast with previous works in the literature (cf., e.g., [21, 22]), we encompass in the model thermal processes, nonlinearly coupled with the damage, concentration and displacement evolutions. More in particular, we prove the existence of entropic weak solutions, resorting to a solvability concept first introduced in [10] in the framework of Fourier-Navier-Stokes systems and then recently employed in [9, 38] for the study of PDE systems for phase transition and damage. Our global-intime existence result is obtained by passing to the limit in a carefully devised time-discretization scheme.

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Keywords
Damage, phase separation, thermoviscoelasticity, global-in-time entropic weak solutions, existence, time discretization
Citation
Heinemann, C., Kraus, C., Rocca, E., & Rossi, R. (2015). A temperature-dependent phase-field model for phase separation and damage (Vol. 2164). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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