|
Title:
|
On the viscoelastic mixtures of solids
|
|
Author:
|
Fernández, Jose R.; Magaña Nieto, Antonio; Masid, Maria; Quintanilla de Latorre, Ramón
|
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
|
Abstract:
|
The final publication is available at link.springer.com via https://doi.org/10.1007/s00245-017-9439-8 |
|
Abstract:
|
In this paper we analyze an homogeneous and isotropic mixture of viscoelastic solids. We propose conditions to guarantee the coercivity of the internal energy and also of the dissipation, first in dimension two and later in dimension three. We obtain an uniqueness result for the solutions when the dissipation is positive and without any hypothesis over the internal energy. When the internal energy and the dissipation are both positive, we prove the existence of solutions as well as their analyticity. Exponential stability and impossibility of localization of the solutions are immediate consequences. |
|
Abstract:
|
Peer Reviewed |
|
Subject(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Elastic solids -- Mechanical properties
-Thermoelasticity
-Analyticity
-Existence
-Positive dissipation
-Positive internal energy
-Uniqueness
-Viscoelastic mixture
-Sòlids elàstics -- Propietats mecàniques
-Termoelasticitat
-Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials |
|
Rights:
|
|
|
Document type:
|
Article - Submitted version
Article |
|
Share:
|
|
