Existence result for a class of generalized standard materials with thermomechanical coupling
Please always quote using this URN:urn:nbn:de:0296-matheon-8834
- This paper deals with the study of a three-dimensional model of thermomechanical coupling for viscous solids exhibiting hysteresis effects. This model is written in accordance with the formalism of generalized standard materials. It is composed by the momentum equilibrium equation combined with the flow rule, which describes some stress-strain dependance, and the heat-transfer equation. An existence result for this thermodynamically consistent problem is obtained by using a fixed-point argument and some qualitative properties of the solutions are established.
Author: | Laetitia Paoli, Adrien Petrov |
---|---|
URN: | urn:nbn:de:0296-matheon-8834 |
Referee: | Dietmar Hömberg |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2012/01/02 |
Release Date: | 2012/01/02 |
Tag: | Existence result; doubly nonlinear equations; generalized standard materials; heat equation |
Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Axx General topics / 35A01 Existence problems: global existence, local existence, non-existence |
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K55 Nonlinear parabolic equations | |
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Fxx Coupling of solid mechanics with other effects / 74F05 Thermal effects | |
Preprint Number: | 840 |