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- W2345548318 abstract "This paper deals with optimization of large structures of linear elastic material with contact modeled by Robin-type boundary conditions. The structures represent textile-like materials and possess certain periodicity or quasiperiodicity properties. Several research topics are combined in this paper: the homogenization approach, together with beam models, is applied to the problem of optimization of effective properties. The homogenization method is used to represent the structures as homogeneous elastic bodies and is essential for formulation of the effective properties' optimization problems. Existing results for problems with Robin-type boundary conditions for thermal conductivity are extended to the case of elasticity. Some additional results, e.g., Korn's inequality for such structures, and continuity of the effective coefficients w.r.t. the geometry design parameters are obtained. Furthermore, optimization of the effective stress profile is considered. A beam approximation is used to reduce the cell..." @default.
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- W2345548318 date "2016-01-01" @default.
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- W2345548318 title "Optimization of Textile-Like Materials via Homogenization and Beam Approximations" @default.
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- W2345548318 doi "https://doi.org/10.1137/15m1017193" @default.
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