On the simultaneous homogenization and dimension reduction in elasticity and locality of \(\varGamma\)-closure

DOI10.1007/s00526-017-1167-zzbMath1370.74018arXiv1508.05979OpenAlexW2560210309MaRDI QIDQ2403755

Igor Velčić, Mario Bukal

Publication date: 12 September 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05979

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Nonlinear elasticity (74B20) Plates (74K20) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05)

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Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast ⋮ A homogenized bending theory for prestrained plates ⋮ Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties ⋮ Small‐amplitude homogenization of elastic plates via H‐measures ⋮ HOMOGENIZATION OF ELASTIC PLATE EQUATION∗ ⋮ Small-amplitude homogenization of elastic plate equation ⋮ Spectral and evolution analysis of composite elastic plates with high contrast

Cites Work

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• Derivation of homogenized Euler-Lagrange equations for von Kármán rods
• Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity
• A note on equi-integrability in dimension reduction problems
• A variational approach to the local character of \(G\)-closure: the convex case
• An introduction to \(\Gamma\)-convergence
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• DERIVATION OF A HOMOGENIZED VON-KÁRMÁN PLATE THEORY FROM 3D NONLINEAR ELASTICITY
• On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity
• Exact estimates of the conductivity of a binary mixture of isotropic materials
• Homogenization and Two-Scale Convergence
• Analysis of Concentration and Oscillation Effects Generated by Gradients
• Homogenization Limits of the Equations of Elasticity in Thin Domains
• Korn’s Inequalities and Their Applications in Continuum Mechanics
• ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF PLATES
• On local the representations of \(G\)-closure.