A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of the Mechanics and Physics of Solids Année : 2006

A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids

Résumé

A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids is presented. The coupled thermo-mechanical boundary-value problem under consideration consists of the equilibrium problem for a deformable, inelastic and dissipative solid with the heat conduction problem appended in addition. The variational formulation allows for general dissipative solids, including finite elastic and plastic deformations, non-Newtonian viscosity, rate sensitivity, arbitrary flow and hardening rules, as well as heat conduction. We show that a joint potential function exists such that both the conservation of energy and the balance of linear momentum equations follow as Euler–Lagrange equations. The identification of the joint potential requires a careful distinction between equilibrium and external temperatures, which are equal at equilibrium. The variational framework predicts the fraction of dissipated energy that is converted to heat. A comparison of this prediction and experimental data suggests that α-titanium and Al2024-T conform to the variational framework.
Fichier principal
Vignette du fichier
Yang2006.pdf (244.44 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01004967 , version 1 (02-11-2021)

Licence

Paternité - Pas d'utilisation commerciale

Identifiants

Citer

Qiang Yang, Laurent Stainier, Michael Ortiz. A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids. Journal of the Mechanics and Physics of Solids, 2006, 54 (2), pp.401-424. ⟨10.1016/j.jmps.2005.08.010⟩. ⟨hal-01004967⟩
113 Consultations
222 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More