Nonlinear Saint-Venant compatibility conditions for nonlinearly elastic plates

DOI10.1016/j.crma.2011.10.019zbMath1378.74042OpenAlexW2046226802MaRDI QIDQ654559

Philippe G. Ciarlet, Sorin Mardare

Publication date: 28 December 2011

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.2011.10.019

zbMATH Keywords

existencecontinuitynonlinear mappingmatrix field

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

A mixed variational principle for the Föppl-von Kármán equations, An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates

Cites Work

• An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates
• A justification of a nonlinear model in plate theory
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
• Unnamed Item
• Unnamed Item