# Exact bounds on the effective behaviour of a conducting discrete polycrystal

2 SIMPAF - SImulations and Modeling for PArticles and Fluids
LPP - Laboratoire Paul Painlevé - UMR 8524, Inria Lille - Nord Europe
Abstract : In a recent paper by Braides and Francfort, the problem of the characterization of the overall properties of lattice energies describing networks with arbitrary mixtures of two types of linear conductors has been addressed in a two-dimensional setting. In this paper we investigate the connection between that discrete optimization process and the theory of bounds for mixtures of continuum energies, for which the choice of the relationships between the different phases of the mixture is unusual and leads to remarkably simple results in terms of $G$-closure.
Keywords :
Type de document :
Article dans une revue
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2008, 6 (4), pp.1198-1216. 〈10.1137/06067184X〉

Littérature citée [17 références]

https://hal.inria.fr/hal-00766730
Contributeur : Antoine Gloria <>
Soumis le : mercredi 19 décembre 2012 - 14:54:35
Dernière modification le : jeudi 11 janvier 2018 - 01:49:34
Document(s) archivé(s) le : mercredi 20 mars 2013 - 11:30:18

### Fichier

Braides-Gloria-08.pdf
Fichiers produits par l'(les) auteur(s)

### Citation

Andrea Braides, Antoine Gloria. Exact bounds on the effective behaviour of a conducting discrete polycrystal. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2008, 6 (4), pp.1198-1216. 〈10.1137/06067184X〉. 〈hal-00766730〉

### Métriques

Consultations de la notice

## 180

Téléchargements de fichiers