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inria-00166846, version 4

Convergence analysis of the Böl-Reese discrete model for rubber

Roberto Alicandro 1, Marco Cicalese 2, Antoine Gloria () 3

Continuum Models and Discrete Systems CMDS 11 (2007)

Abstract: In a recent work, Böl and Reese have introduced a discrete model for polymer networks by means of a finite element modeling. They have also provided a comparison with real experiments. A key parameter of their model is the size h of the finite element mesh, that is meant to be small in practice. The aim of the present work is to study the asymptotic behaviour (and the convergence of the finite element method) when the meshsize goes to zero. In particular, we address the properties satisfied by the model at the limit, depending on the properties of the mesh.

  • 1:  Dipartimento di Automazione Elettromagnetismo Ingegneria dell'Informazione Matematica Industriale (DAEIMI)
  • Università degli studi di Cassino
  • 2:  Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
  • Università degli studi di Napoli Federico II
  • 3:  MICMAC (INRIA Paris - Rocquencourt)
  • Ecole des Ponts ParisTech – INRIA
  • Domain : Mathematics/Mathematical Physics
    Physics/Mathematical Physics
    Mathematics/Numerical Analysis
  • Keywords : nonlinear elasticity – rubber – discrete system – finite element method
  • Internal note : RR-6270
  • Available versions :  v1 (2007-08-10) v2 (2007-08-10) v3 (2007-08-13) v4 (2007-10-23)
 
  • inria-00166846, version 4
  • http://hal.inria.fr/inria-00166846
  • oai:hal.inria.fr:inria-00166846
  • From: Antoine Gloria <>
  • Submitted on: Tuesday, 23 October 2007 11:48:35
  • Updated on: Tuesday, 18 December 2012 17:08:31