Title :

Foundation, analysis, and numerical investigation of a variational network-based model for rubber

Author(s) :

Gloria, Antoine [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Le Tallec, Patrick [Auteur]
Laboratoire de Mécanique des Solides [LMS]
Vidrascu, Marina [Auteur]
Numerical simulation of biological flows [REO]
Modeling, analysis and control in computational structural dynamics [MACS]

Journal title :

Continuum Mechanics and Thermodynamics

Pages :

1--31

Publisher :

Springer Verlag

Publication date :

2014

ISSN :

0935-1175

English keyword(s) :

nonlinear elasticity
polymer physics
homogenization

HAL domain(s) :

Physique [physics]/Mécanique [physics]/Mécanique des matériaux [physics.class-ph]
Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des matériaux [physics.class-ph]
Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

Since the pioneering work by Treloar, many models based on polymer chain statistics have been proposed to describe rubber elasticity. Recently, Alicandro, Cicalese, and the first author have rigorously derived a continuum ...
Show more >Since the pioneering work by Treloar, many models based on polymer chain statistics have been proposed to describe rubber elasticity. Recently, Alicandro, Cicalese, and the first author have rigorously derived a continuum theory of rubber elasticity from a discrete model by variational convergence. The aim of this paper is twofold. First we further physically motivate this model, and complete the analysis by numerical simulations. Second, in order to compare this model to the literature, we present in a common language two other representative types of models, specify their underlying assumptions, check their mathematical properties, and compare them to Treloar's experiments.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL