Nonlinear composites: a linearization procedure,exact to second-order in contrast and for which the strain-energy and affine formulations coincideComposites non linéaires : un schéma exact au second ordre pour lequel la formulation en énergie de déformation coı̈ncide avec la formulation affine |
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Authors: | Noël Lahellec Pierre Suquet |
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Affiliation: | Laboratoire de mécanique et d''acoustique, 31, chemin Joseph Aiguier, 13402 Marseille cedex 20, France |
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Abstract: | This Note presents a new approximate scheme for nonlinear composites. The approximation which is made preserves certain features of the original second-order scheme of Ponte Castañeda, exactness to second-order in the contrast and existence of an effective energy, but improves on one drawback, which is the gap between the strain-energy formulation and the affine formulation. A numerical example shows the accuracy of the present method. To cite this article: N. Lahellec, P. Suquet, C. R. Mecanique 332 (2004). |
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Keywords: | Computational solid mechanics Homogenization Composite materials Nonlinear behavior Mécanique des solides numérique Homogénéisation Matériaux composites Comportement non linéaire |
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