Bounds for non-periodic mixtures of infinitely many materials

DOI10.1002/mma.604zbMath1065.35043OpenAlexW2146487943MaRDI QIDQ3022722

Cristian Barbarosie, Anca-Maria Toader

Publication date: 30 June 2005

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.604

zbMATH Keywords

Young measuresupper and lower boundscomposite materialsoptimal boundsheat conduction framework

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Inverse problems in optimal control (49N45)

Cites Work

• Using quasiconvex functionals to bound the effective conductivity of composite materials
• Bounds on the effective conductivity of two-dimensional composites made of n ≧ 3 isotropic phases in prescribed volume fraction: the weighted translation method
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