A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains

DOI10.3934/eect.2017016zbMath1369.49015OpenAlexW2604937511MaRDI QIDQ523954

Elvira Zappale

Publication date: 25 April 2017

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2017016

zbMATH Keywords

homogenizationdimensional reductionsupremal functionalsgradient constrained problemsunbounded functionals

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

Cites Work

• Dimensional reduction for supremal functionals
• A variational definition of the strain energy for an elastic string
• Homogenization of two-phase metrics and applications
• Homogenization of integrals with pointwise gradient constraints via the periodic unfolding method
• Convex analysis and measurable multifunctions
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• A remark on dimension reduction for supremal functionals: the case with convex domains.
• 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
• Heterogeneous Thin Films: Combining Homogenization and Dimension Reduction with Directors
• Homogenization and Two-Scale Convergence
• HOMOGENIZATION OF L^∞ FUNCTIONALS
• Existence of Minimizers for NonLevel Convex Supremal Functionals
• The Periodic Unfolding Method in Homogenization
• Lower semicontinuity of \(L^\infty\) functionals.

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