On the derivation of homogenized bending plate model
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Publication:2349157
DOI10.1007/s00526-014-0758-1zbMath1329.35050arXiv1212.2594OpenAlexW2067898353MaRDI QIDQ2349157
Publication date: 19 June 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.2594
Plates (74K20) Composite and mixture properties (74E30) 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 (13)
Brittle fracture in linearly elastic plates ⋮ Regularity of intrinsically convex \(W^{2,2}\) surfaces and a derivation of a homogenized bending theory of convex shells ⋮ On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity ⋮ Stochastic homogenization of the bending plate model ⋮ Derivation of a homogenized von-Kármán shell theory from 3D elasticity ⋮ A homogenized bending theory for prestrained plates ⋮ Variational homogenization: old and new ⋮ Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain ⋮ Modeling and simulation of thin sheet folding ⋮ Bending of thin periodic plates ⋮ Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity ⋮ Homogenization of bending theory for plates; the case of oscillations in the direction of thickness ⋮ Homogenization of the nonlinear bending theory for plates
Cites Work
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- Derivation of a homogenized nonlinear plate theory from 3d elasticity
- Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
- A variational definition of the strain energy for an elastic string
- Two-scale convergence of some integral functionals
- Derivation of a homogenized von-Kármán shell theory from 3D elasticity
- On the Sobolev space of isometric immersions
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from three-dimensional elasticity
- Homogenization of the nonlinear bending theory for plates
- Plate theory for stressed heterogeneous multilayers of finite bending energy
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Periodically wrinkled plate model of the Föppl-von Kármán type
- 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
- Towards a two-scale calculus
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
- Two-Scale Homogenization for Evolutionary Variational Inequalities via the Energetic Formulation
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