Justification de modèles de plaques non linéaires pour des lois de comportement générales

DOI10.1051/m2an/1986200202251zbMath0634.73048OpenAlexW2521843548MaRDI QIDQ3773473

J. L. Davet

Publication date: 1986

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193475

zbMATH Keywords

three-dimensional constitutive equationasymptotic expansion methodsSt. Venant-Kirchhoff materiallinear with respect to the ``full strain tensornonlinear elastic plate theoryTwo-dimensional models

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (8)

From the classical to the generalized von Kármán and Marguerre--von Kármán equations ⋮ Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations ⋮ Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods ⋮ The effect of different scalings in the modelling of nonlinearly elastic plates with rapidly varying thickness ⋮ Modeling and optimization of non-symmetric plates ⋮ An asymptotic theory of thin hyperelastic plates. I: General theory ⋮ A justification of nonlinear properly invariant plate theories ⋮ Generalized von Kármán equations.

Cites Work

• Lectures on three-dimensional elasticity. Notes by S. Kesavan
• Teoremi di esistenza e unicita in elastostatica finita
• A justification of the von Kármán equations
• A remark on the von Kármán equations
• Convexity conditions and existence theorems in nonlinear elasticity
• A justification of a nonlinear model in plate theory
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