Asymptotically exact Korn's constant for thin cylindrical domains

DOI10.1016/j.crma.2012.09.013zbMath1369.35091OpenAlexW2093237580MaRDI QIDQ715631

Giuseppe Tomassetti, Roberto Paroni

Publication date: 31 October 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.2012.09.013

Mathematics Subject Classification ID

Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells ⋮ Korn inequalities for shells with zero Gaussian curvature ⋮ Sharp weighted Korn and Korn-like inequalities and an application to washers ⋮ Buckling of residually stressed plates: An asymptotic approach ⋮ Strain tensors on hyperbolic surfaces and their applications ⋮ On Korn’s constant for thin cylindrical domains

Cites Work

• The Reissner-Mindlin plate theory via \(\Gamma\)-convergence
• Thin-walled beams: A derivation of Vlassov theory via \(\Gamma\)-convergence
• An introduction to \(\Gamma\)-convergence
• Thin-walled beams: the case of the rectangular cross-section
• On the junction of elastic plates and beams
• The equations of motion of a plate with residual stress
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods
• On Korn’s constant for thin cylindrical domains
• NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION — PART I
• A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
• A new model for thin plates with rapidly varying thickness. II. A convergence proof
• On Korn's second inequality
• Theory of Linearly Elastic Residually Stressed Plates
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