Titre :

Mathematical derivation of a rubber-like stored energy functional

Auteur(s) :

Alicandro, Roberto [Auteur]
Dipartimento di Automazione Elettromagnetismo Ingegneria dell'Informazione Matematica Industriale [DAEIMI]
Cicalese, Marco [Auteur]
Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Gloria, Antoine [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]

Titre de la revue :

Comptes rendus de l'Académie des sciences. Série I, Mathématique

Pagination :

479-482

Éditeur :

Elsevier

Date de publication :

2007

ISSN :

0764-4442

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Physique mathématique [math-ph]

Résumé en anglais : [en]

In this note, we consider a stochastic network of interacting points to which we associate an energy. We study the variational convergence of such an energy when the typical distance of the network goes to zero. We prove ...
Lire la suite >In this note, we consider a stochastic network of interacting points to which we associate an energy. We study the variational convergence of such an energy when the typical distance of the network goes to zero. We prove that the limit energy can be written as an integral functional, whose energy density is deterministic, hyperelastic and frame-invariant. This derivation allows us in particular to obtain a continuous energy density associated to cross-linked polymer networks.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL