Comptes Rendus
no. 7
Incremental energy minimization in dissipative solids
[Minimisation d'énergie excédentaire dans solides dissipatifs]

Présenté par : Évariste Sanchez-Palencia

Henryk Petryk1
1 Institute of Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, 00-049 Warsaw, Poland
Comptes Rendus. Mécanique, Volume 331 (2003) no. 7, pp. 469-474.

Nous étudions la minimisation d'énergie excédentaire comme méthode possible de détermination des solutions sous forme de chemin de déformation pour des solides dissipatifs indépendant de temps. On considère les déformations quasi-statiques, et le travail de déformation est décomposé localement en deux parties, l'excédent d'énergie libre, et la dissipation intrinsèque. Nous discutons les conditions dérivées ici, nécessaires afin de rendre la procédure de minimisation applicable au problème posé.

The incremental energy minimization is examined as a method of determining solution paths for time-independent dissipative solids. Isothermal quasi-static deformations are considered, and the deformation work is locally decomposed into the increments in free energy and intrinsic dissipation. General conditions necessary for the applicability of the minimization procedure are derived and discussed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-0721(03)00109-8
Keywords: Solids and structures, Dissipative materials, Plasticity, Energy, Path stability
Mots-clés : Solides et structures, Matériaux dissipatifs, Plasticité, Énergie, Stabilité des chemins

Henryk Petryk 1

1 Institute of Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, 00-049 Warsaw, Poland 
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Henryk Petryk. Incremental energy minimization in dissipative solids. Comptes Rendus. Mécanique, Volume 331 (2003) no. 7, pp. 469-474. doi : 10.1016/S1631-0721(03)00109-8. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00109-8/

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