REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS

DOI10.1142/S0218202500000057zbMath1010.49011MaRDI QIDQ4798781

Andrea Braides, Dag Lukkassen

Publication date: 16 March 2003

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

zbMATH Keywords

integral functionalshomogenizationreiterationmedia with several length-scales

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (9)

Bounds and numerical results for homogenized degenerated \(p\)-Poisson equations. ⋮ On some iterated means arising in homogenization theory. ⋮ Bounds for nonlinear composites via iterated homogenization ⋮ Homogenization estimates for multi-scale nonlinear composites ⋮ On multiscale homogenization problems in boundary layer theory ⋮ Reiterated homogenization for elliptic operators ⋮ Bounds and estimates on the effective properties for nonlinear composites ⋮ Nonlinear Variational Methods for Estimating Effective Properties of Multiscale Materials ⋮ Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates

Cites Work

• Homogenization of nonconvex integral functionals and cellular elastic materials
• Periodic solutions and homogenization of non linear variational problems
• Homogenization of monotone operators
• Iterated homogenization, differential effective medium theory and applications
• A New Variational Principle and Its Application to Nonlinear Heterogeneous Systems
• On estimates of the effective energy for the averaged Poisson equation with ap-Laplacian
• On some sharp bounds for the homogenizedp-poisson equation
• Semicontinuity problems in the calculus of variations

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