Title :

Mathematical derivation of a rubber-like stored energy functional

Author(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]

Journal title :

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

Pages :

479-482

Publisher :

Elsevier

Publication date :

2007

ISSN :

0764-4442

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL