Configurational forces as dissipative mechanisms: a revisit

Anurag Gupta; Xanthippi Markenscoff

doi:10.1016/j.crme.2007.11.004

Configurational forces as dissipative mechanisms: a revisit

Anurag Gupta ¹ ; Xanthippi Markenscoff ²

¹ Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA
² Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093, USA

Comptes Rendus. Mécanique, Duality, inverse problems and nonlinear problems in solid mechanics, Volume 336 (2008) no. 1-2, pp. 126-131.

Abstract
Résumé

A variational argument is used to obtain a necessary and sufficient condition for interpreting the work done by configurational forces as the net dissipation. This condition is the Euler–Lagrange equation associated with the variational integral. We use this simple proposition to re-interpret classical results and also gain insight into recently obtained configurational forces in the stress space.

Un argument variationnel est utilisé pour obtenir une condition nécessaire et suffisante permettant d'interpréter le travail effectué par les forces configurationnelles comme une dissipation nette. Cette condition est l'équation d'Euler–Lagrange associée à l'intégrale variationnelle. Nous utilisons cette proposition simple pour ré-interpréter des résultats classiques et aussi approfondir l'interprétation de forces configurationnelles récemment définies dans l'espace des contraintes.

Published online: 2008-01-01

DOI: 10.1016/j.crme.2007.11.004

Keywords: Computational solid mechanics, Dissipative mechanisms, Variational integral
Mots-clés : Mécanique des solides numérique, Mécanismes dissipatifs, Intégrale variationnelle

Author's affiliations:

Anurag Gupta ¹; Xanthippi Markenscoff ²

¹ Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA
² Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093, USA

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Anurag Gupta; Xanthippi Markenscoff. Configurational forces as dissipative mechanisms: a revisit. Comptes Rendus. Mécanique, Duality, inverse problems and nonlinear problems in solid mechanics, Volume 336 (2008) no. 1-2, pp. 126-131. doi : 10.1016/j.crme.2007.11.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.004/

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