Duality Theory in Nonlinear Buckling Analysis for von Kármán Equations

DOI10.1002/sapm1995944423zbMath0832.73027OpenAlexW75441075MaRDI QIDQ4857061

David Yang Gao

Publication date: 26 November 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995944423

zbMATH Keywords

variational principlesnonlinear eigenvalue problemstability criterionlower bound theoremnonlinear bifurcation problemsquadratic dual optimization problemreduced complementary gap function

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60)

Related Items (4)

Complementary finite-element method for finite deformation nonsmooth mechanics ⋮ Bi-complementarity and duality: A framework in nonlinear equilibria with applications to the contact problem of elastoplastic beam theory ⋮ A variational property of the von Kármán plate problem ⋮ Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications

Cites Work

• Dual extremum principles in finite deformation elastoplastic analysis
• A justification of the von Kármán equations
• Obstacle problem for von Kármán equations
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• On the extreme variational principles for nonlinear elastic plates
• 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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