Convergent thin-shell models using Cartesian components of the displacements

DOI10.1016/0020-7225(86)90091-1zbMath0573.73075OpenAlexW2093332541MaRDI QIDQ1062812

Jean-Francois Debongnie

Publication date: 1986

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90091-1

zbMATH Keywords

rate of convergencethree-dimensional modelsplane elementsCartesian components of the displacementsconverge to the deep-shell solutionconvergent thin-shell modelsexact representaion of rigid body motiongains one order of convergenceisoparametric conceptsmesh is refinedmoderate deflectionsmore refined approachreduces to the Marguerre shallow-shell theorytwo simplifications

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Cites Work

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• Mixed finite elements based upon Marguerre theory for the study of geometrically nonlinear behavior of thin shells
• Physical interpretation and generalization of Marguerre's shallow shell theory
• An infinite row of collinear cracks in an infinite elastic sheet
• A family of conforming finite elements for deep shell analysis
• Variational principles and the patch test

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