NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS II: THE BENDING MODEL

DOI10.1142/S0219530505000571zbMath1236.74022MaRDI QIDQ5313754

Karim Trabelsi

Publication date: 1 September 2005

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic analysisminimizationbending platesNonlinear elasticityinextensional deformations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (1)

Derivation of a Hierarchy of Nonlinear Two-dimensional Models For Heterogeneous Plates

Cites Work

• Nonlinearly elastic shell models: A formal asymptotic approach. II: The flexural model
• An existence theorem for nonlinearly elastic `flexural' shells
• A justification of nonlinear properly invariant plate theories
• Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
• Nonlinear thin plate models for a family of Ogden materials
• Existence of a solution for a nonlinearly elastic plane membrane subject to plane forces.
• NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS: I
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

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