Effective-medium theory for infinite-contrast, 2D-periodic, linear composites with strongly anisotropic matrix behavior: dilute limit and cross-over behavior

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dc.creatorWillot, Francois
dc.creatorPellegrini, Yves-Patrick
dc.creatorIdiart, Martin I.
dc.creatorCastaneda, Pedro Ponte
dc.date2008-04-17
dc.date.accessioned2026-07-07T10:03:36Z
dc.date.available2026-07-07T10:03:36Z
dc.descriptionThe overall behavior of a 2D lattice of voids embedded in an anisotropic matrix is investigated in the limit of vanishing porosity f. An effective-medium model (of the Hashin-Shtrikman type) which accounts for elastic interactions between neighboring voids, is compared to Fast Fourier Transform numerical solutions and, in the limits of infinite anisotropy, to exact results. A cross-over between regular and singular dilute regimes is found, driven by a characteristic length which depends on f and on the anisotropy strength. The singular regime, where the leading dilute correction to the elastic moduli is an O(f^{1/2}), is related to strain localization and to change in character - from elliptic to hyperbolic - of the governing equations.
dc.description17 pages, 7 low-res figures, 4 low-res tables of figures. Table II in BW to minimize submission size (color version from YPP on request)
dc.identifierhttps://arxiv.org/abs/0804.2817
dc.identifierhttp://arxiv.org/abs/0804.2817
dc.identifierPhysical Review B 78, 104111 (2008) [slightly different from arXiv version]
dc.identifierdoi:10.1103/PhysRevB.78.104111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169347
dc.subjectMaterials Science
dc.titleEffective-medium theory for infinite-contrast, 2D-periodic, linear composites with strongly anisotropic matrix behavior: dilute limit and cross-over behavior
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