Nonlinear thin plate models for a family of Ogden materials

DOI10.1016/j.crma.2003.10.029zbMath1032.74035OpenAlexW2080769909MaRDI QIDQ1420196

Karim Trabelsi

Publication date: 28 January 2004

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.2003.10.029

zbMATH Keywords

asymptotic procedureOgden materialstwo-dimensional thin plate

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 (6)

NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS II: THE BENDING MODEL ⋮ Nonlinear thin plate models for a family of Ogden materials ⋮ NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS: I ⋮ Incompressible nonlinearly elastic thin membranes ⋮ MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE ⋮ Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type

Cites Work

• Convexity conditions and existence theorems in nonlinear elasticity
• An existence theorem for nonlinearly elastic `flexural' shells
• A justification of nonlinear properly invariant plate theories
• Nonlinear thin plate models for a family of Ogden materials
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• Existence d'un minimiseur pour le modèle ≪ proprement invariant ≫ de plaque ≪ en flexion ≫ non linéairement élastique
• Relaxation of singular functionals defined on Sobolev spaces
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