A variational property of the von Kármán plate problem

DOI10.1177/1081286520951227OpenAlexW3080598817MaRDI QIDQ4992779

Roberto Paroni, Cesare Davini

Publication date: 10 June 2021

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286520951227

zbMATH Keywords

anisotropic platessaddle-point propertyFöppl-von Kármán plates

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• An existence theorem for the von Kármán equations
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• Variational Problems for Föppl--von Kármán Plates
• Duality Theory in Nonlinear Buckling Analysis for von Kármán Equations
• An Eigenvalue Problem for Nonlinear Elliptic Partial Differential Equations
• On von Karman’s equations and the buckling of a thin elastic plate
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions

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