Unilateral Problems for Nonlinearly Elastic Plates and Shallow Shells

DOI10.1177/108128650100600308zbMath1028.74034OpenAlexW2126870863MaRDI QIDQ4786945

Liliana Gratie

Publication date: 26 January 2004

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

Full work available at URL: https://doi.org/10.1177/108128650100600308

zbMATH Keywords

variational inequalitiesexistencetopological degreenonlinearly elastic platespseudo-monotone operatorsgeneralized monotone operatorsnonlinearly elastic shallow shellsreduced operator Marguerre-von Kármán equationsunilateral eigenvalue problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear elasticity (74B20) Plates (74K20) Shells (74K25)

Related Items (2)

Generalized Marguerre-von Kármán Equations for a Nonlinearly Elastic Shallow Shell ⋮ On the study of variational inequality of generalized Marguerre-von Kármán's type via Leray-Schauder degree

Cites Work

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• Modelling and control in solid mechanics
• Global bifurcation in variational inequalities: applications to obstacle and unilateral problems
• A justification of the Marguerre-von Kármán equations
• Nonlinear eigenvalue problems governed by a variational inequality of von Karman's type: A degree theoretic approach
• Degree of mapping for nonlinear mappings of monotone type
• On the topological degree for mappings of monotone type
• Les équations de Marguerre—von Kármán en coordonnées curvilignes
• Unilateral eigenvalue problems for nonlinearly elastic plates and pseudo-monotone operators

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