Remark on the Homogenization of a Micro-fibered Linearly Elastic Material
Résumé
We consider the homogenization of a linear elliptic boundary value problem of elasticity. The isotropic elastic material is reinforced by a periodic distribution of very thin parallel fibers in which the Lamé coefficients are assumed to have high values. Bellieud and Gruais proved that the macroscopic behavior is the one of a generalized continuum medium involving an additional state variable accounting for the microstructure. Here we propose a proof of this result by studying the variational convergence of the energy functional.
Domaines
Matériaux et structures en mécanique [physics.class-ph] Matériaux et structures en mécanique [physics.class-ph] Mécanique des matériaux [physics.class-ph] Mécanique des matériaux [physics.class-ph] Mécanique des solides [physics.class-ph] Mécanique des solides [physics.class-ph] Mécanique des structures [physics.class-ph] Mécanique des structures [physics.class-ph]
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Remark_homogeneisation_microfibered_Orankitjaroen_al.pdf (319.62 Ko)
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