Comptes Rendus
no. 1-2
Configurational forces as dissipative mechanisms: a revisit
[Les forces configurationnelles vues comme des mécanismes dissipatifs : un ré-examen]
Anurag Gupta1  ; Xanthippi Markenscoff2
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, Volume 336 (2008) no. 1-2, pp. 126-131.

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.

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.

Publié le :
DOI : 10.1016/j.crme.2007.11.004
Keywords: Computational solid mechanics, Dissipative mechanisms, Variational integral
Mot clés : Mécanique des solides numérique, Mécanismes dissipatifs, Intégrale variationnelle
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, 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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