Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics. (June 2016)

• Record Type: Journal Article
• Authors: Lazzaroni, Giuliano; Rossi, Riccarda; Thomas, Marita; Toader, Rodica
• Is Part Of: Journal of physics. Volume 727(2016)
• Publication Date: 2016-06
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/727/1/012009
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: This note deals with the analysis of a model for partial damage, where the rate- independent, unidirectional flow rule for the damage variable is coupled with the rate-dependent heat equation, and with the momentum balance featuring inertia and viscosity according to Kelvin-Voigt rheology. The results presented here combine the approach from Roubicek [1, 2] with the methods from Lazzaroni/Rossi/Thomas/Toader [3]. The present analysis encompasses, differently from [2], the monotonicity in time of damage and the dependence of the viscous tensor on damage and temperature, and, unlike [3], a nonconstant heat capacity and a time-dependent Dirichlet loading.