Design of three dimensional isotropic microstructures for maximized stiffness and conductivity

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dc.creatorChallis, V. J.
dc.creatorRoberts, A. P.
dc.creatorWilkins, A. H.
dc.date2007-12-19
dc.date.accessioned2026-07-07T08:50:16Z
dc.date.available2026-07-07T08:50:16Z
dc.descriptionThe level-set method of topology optimization is used to design isotropic two-phase periodic multifunctional composites in three dimensions. One phase is stiff and insulating whereas the other is conductive and mechanically compliant. The optimization objective is to maximize a linear combination of the effective bulk modulus and conductivity of the composite. Composites with the Schwartz primitive and diamond minimal surfaces as the phase interface have been shown to have maximal bulk modulus and conductivity. Since these composites are not elastically isotropic their stiffness under uniaxial loading varies with the direction of the load. An isotropic composite is presented with similar conductivity which is at least 23% stiffer under uniaxial loading than the Schwartz structures when loaded uniaxially along their weakest direction. Other new near-optimal isotropic composites are presented, proving the capablities of the level-set method for microstructure design.
dc.description25 pages, 11 figures, to be submitted to International Journal of Solids and Structures
dc.identifierhttps://arxiv.org/abs/0712.3101
dc.identifierhttp://arxiv.org/abs/0712.3101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144552
dc.subjectMaterials Science
dc.titleDesign of three dimensional isotropic microstructures for maximized stiffness and conductivity
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