Derivation of a homogenized von-Kármán shell theory from 3D elasticity
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Publication:892699
DOI10.1016/j.anihpc.2014.05.003zbMath1329.74178arXiv1211.0045OpenAlexW2963804932MaRDI QIDQ892699
Publication date: 11 November 2015
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.0045
Nonlinear elasticity (74B20) Shells (74K25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (12)
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 ⋮ On effective material parameters of thin perforated shells under static loading ⋮ Asymptotic justification of equations for von Kármán membrane shells ⋮ Free vibration of perforated cylindrical shells of revolution: asymptotics and effective material parameters ⋮ Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain ⋮ Derivation of a homogenized nonlinear plate theory from 3d elasticity ⋮ 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 ⋮ On the derivation of homogenized bending plate model ⋮ Homogenization of the nonlinear bending theory for plates
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