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On the Convergence of a Non-incremental Homogenization Method for Nonlinear Elastic Composite Materials

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2003
auteur(s) Brieu Mathias; Ehrel Jocelyne
journal (abréviation) Numerical Algorithms (Numer Algorithm)
volume (numéro) 32 (2-4)
  
pages 141 – 161
résumé In order to simulate the nonlinear behaviour of elastomer composite materials, we use a homogenization technique which induces nonlinear problems. This paper presents a non-incremental solving method which allows the reduction of computational costs. In this paper the equivalence between the proposed solving method and a Newton-type method is proved, which allows us to prove the convergence under realistic assumptions. Numerical results on a composite illustrate the performances of this method.
mots clés homogenization - nonlinear elastic behaviour - non-incremental solving methods - Newton-type methods
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