Homogenization and Field Concentrations in Heterogeneous Media

DOI10.1137/050648687zbMath1151.35007arXivmath/0603172OpenAlexW2084749716MaRDI QIDQ5296023

Robert P. Lipton

Publication date: 31 July 2007

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603172

zbMATH Keywords

Young measurescomposite materialsminimal regularity assumptionspolycrystalline mediafield concentrations

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

L²-GLOBAL TO LOCAL PROJECTION: AN APPROACH TO MULTISCALE ANALYSIS ⋮ Multicontinuum homogenization for Richards' equation: the derivation and numerical experiments ⋮ On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition ⋮ Improved bounds on the supremum of autoconvolutions ⋮ Multicontinuum homogenization and its relation to nonlocal multicontinuum theories

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