Derivation of a plate theory for incompressible materials

DOI10.1016/j.crma.2007.03.013zbMath1112.74037OpenAlexW2093118559MaRDI QIDQ883416

Sergio Conti, Georg Dolzmann

Publication date: 4 June 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.03.013

zbMATH Keywords

energy densitygamma-limitrecovery sequence

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20)

Related Items (8)

The von Kármán theory for incompressible elastic shells ⋮ Derivation of a plate theory for incompressible materials ⋮ Plates with incompatible prestrain of high order ⋮ A nonlinear bending theory for nematic LCE plates ⋮ Approximating \(W^{2,2}\) isometric immersions ⋮ \(\Gamma \)-convergence for incompressible elastic plates ⋮ Bending, buckling and free vibration analysis of incompressible functionally graded plates using higher order shear and normal deformable plate theory ⋮ Convergence of equilibria for incompressible elastic plates in the von Kármán regime

Cites Work

• Derivation of a plate theory for incompressible materials
• An introduction to \(\Gamma\)-convergence
• Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
• On the justification of the nonlinear inextensional plate model
• Rigorous derivation of nonlinear plate theory and geometric rigidity
• On the Sobolev space of isometric immersions
• Incompressible nonlinearly elastic thin membranes
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• Une justification partielle du modèle de plaque en flexion par -convergence
• MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Derivation of a plate theory for incompressible materials