Justification of the nonlinear Kirchhoff-Love theory, as application of a new singular inversion method

DOI10.1016/S1631-073X(02)02310-5zbMath1154.74351OpenAlexW2043209746MaRDI QIDQ1600199

Régis Monneau

Publication date: 12 June 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02310-5

zbMATH Keywords

nonlinear elasticitythree-dimensional displacementsingular inversion method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20)

Cites Work

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• Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity
• Existence theorems for nonlinear elastic plates with periodic boundary conditions
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity

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