Abstract
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.
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Brieu, M., Erhel, J. On the Convergence of a Non-incremental Homogenization Method for Nonlinear Elastic Composite Materials. Numerical Algorithms 32, 141–161 (2003). https://doi.org/10.1023/A:1024019501434
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DOI: https://doi.org/10.1023/A:1024019501434