Optimum composite material design

DOI10.1051/m2an/1995290606571zbMath0845.73049OpenAlexW2470299892MaRDI QIDQ4856940

Jan Dvořák, Jaroslav Haslinger

Publication date: 22 September 1996

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193787

zbMATH Keywords

mixtureexistenceinclusionsoptimal control theoryperiodic compositeeffective material constantsconvergence of numerical approximationslinear two-dimensional conduction equation

Mathematics Subject Classification ID

Related Items (11)

Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures ⋮ Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method ⋮ Shape optimization of an imperfect interface: steady-state heat diffusion ⋮ Isogeometric shape optimization of periodic structures in three dimensions ⋮ Shape optimization for composite materials in linear elasticity ⋮ The effectiveness factor of reaction-diffusion equations: homogenization and existence of optimal Pellet shapes ⋮ Optimization methods applied to material and flextensional actuator design using the homogenization method ⋮ 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method ⋮ Topology optimization of modulated and oriented periodic microstructures by the homogenization method ⋮ Energy-based comparison between the Fourier-Galerkin method and the finite element method ⋮ Sensitivity strategies in modelling heterogeneous media undergoing finite deformation

Cites Work

• Non-homogeneous media and vibration theory
• A homogenization method for shape and topology optimization
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction
• Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure
• Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
• Optimal design and relaxation of variational problems, II
• Exact estimates of the conductivity of a binary mixture of isotropic materials
• Optimal Bounds and Microgeometries for Elastic Two-Phase Composites
• Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials
• On characterizing the set of possible effective tensors of composites: The variational method and the translation method
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