An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates

DOI10.1016/J.CRMA.2011.11.001zbMath1337.74031OpenAlexW2078133742MaRDI QIDQ664940

Sorin Mardare, Philippe G. Ciarlet

Publication date: 5 March 2012

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.2011.11.001

Mathematics Subject Classification ID

Plates (74K20) Existence theories for optimal control problems involving partial differential equations (49J20) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (4)

Mechanics of materially uniform thin films ⋮ Nonlinear Saint-Venant compatibility conditions for nonlinearly elastic plates ⋮ NONLINEAR SAINT–VENANT COMPATIBILITY CONDITIONS AND THE INTRINSIC APPROACH FOR NONLINEARLY ELASTIC PLATES ⋮ Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain

Cites Work

• Nonlinear Saint-Venant compatibility conditions for nonlinearly elastic plates
• Convexity conditions and existence theorems in nonlinear elasticity
• A justification of a nonlinear model in plate theory

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