A finite element scheme based on the simplified Reissner equations for shells of revolution

DOI10.1016/0045-7825(91)90117-OzbMath0743.73024OpenAlexW2089210025MaRDI QIDQ1191123

Leonid Rivkin, Dan Givoli

Publication date: 27 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(91)90117-o

zbMATH Keywords

large rotationsthin shells\(C^ 0\) mixed finite element schemeclamped cylindrical shellsmall normal strainssystem of nonlinear algebraic equations in the rotation angle

Mathematics Subject Classification ID

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Cites Work

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• On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
• Asymptotic forms of a simplified version of the nonlinear Reissner equations for clamped elastic spherical caps under outward pressure
• A general, geometrically linear theory of inelastic thin shells
• Nonlinear finite element analysis of shells. I. Three-dimensional shells
• A penalty duality method for the Budiansky-Sanders shell model
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• A class of simple and efficient degenerated shell elements - Analysis of global spurious-mode filtering
• A simplified version of Reissner's nonlinear equations for a first- approximation theory of shells of revolution
• A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains
• A new nine node degenerated shell element with enhanced membrane and shear interpolation

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