Une modification du modèle de Mindlin pour les plaques minces en flexion présentant un bord libre

DOI10.1051/m2an/1988220202171zbMath0646.73026OpenAlexW2526753078MaRDI QIDQ3790748

Thierry Nevers, Philippe Destuynder

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/193528

zbMATH Keywords

convergenceexistencedeflectionrotationbendinguniquenesscompatibility conditionsthin platespenalty parameteredge effectsmixed formulationtransverse shear stressaugmented LagrangeanModified Mindlin Modelmultiplier unknownssurface Helmholtz theorem

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Some numerical aspects of mixed finite elements for bending plates ⋮ A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results ⋮ Stable splitting of polyharmonic operators by generalized Stokes systems

Cites Work

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• Approximation numérique du cisaillement transverse dans les plaques minces en flexion. (Numerical approximation of transverse shearing stress in bent plates)
• On the Logarithmic Singularity of Free-Edge Stress in Laminated Composites Under Uniform Extension
• Finite Element Methods for Navier-Stokes Equations
• On Penalty and Multiplier Methods for Constrained Minimization