Boundary conditions for the high order homogenized equation: laminated rods, plates and composites

DOI10.1016/j.crme.2008.10.008zbMath1173.35311OpenAlexW2168863061MaRDI QIDQ1033153

Gregory P. Panasenko

Publication date: 6 November 2009

Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crme.2008.10.008

zbMATH Keywords

homogenizationhigh order boundary conditionshigh order homogenized equationstrain gradient theories

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15)

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Homogenized equation of second-order accuracy for conductivity of laminates ⋮ Application of the asymptotic homogenization in a parametric space to the modeling of structurally heterogeneous materials ⋮ Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams ⋮ Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits ⋮ Asymptotic homogenization approach for anisotropic micropolar modeling of periodic Cauchy materials ⋮ Convergent Power Series for Fields in Positive or Negative High-Contrast Periodic Media

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