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Article Dans Une Revue Numerical Algorithms Année : 2003

On the convergence of a non-incremental homogenization method for nonlinear elastic composite materials

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.

Dates et versions

hal-00139696 , version 1 (03-04-2007)

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Mathias Brieu, Jocelyne Erhel. On the convergence of a non-incremental homogenization method for nonlinear elastic composite materials. Numerical Algorithms, 2003, 32 (2-4), pp.141-161. ⟨10.1023/A:1024019501434⟩. ⟨hal-00139696⟩
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