A nonlinear quadrilateral shell element with drilling degrees of freedom

DOI10.1007/BF00810238zbMath0765.73067OpenAlexW1624502808WikidataQ64017449 ScholiaQ64017449MaRDI QIDQ1202540

Peter Wriggers, Werner Wagner, Friedrich Gruttmann

Publication date: 25 February 1993

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00810238

zbMATH Keywords

symmetryAllman-type interpolationbending theoryEuler-Lagrangian equationsindependent in-plane rotation fieldmixed functionalskew-symmetric part of membrane forces

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items

Enhanced Allman quadrilateral for finite drilling rotations, On enhanced strain methods for small and finite deformations of solids, A nonlinear extensible 4-node shell element based on continuum theory and assumed strain interpolations, Stress resultant geometrically nonlinear shell theory with drilling rotations. I: A consistent formulation, Stress resultant geometrically nonlinear shell theory with drilling rotations. II: Computational aspects, A weak form quadrature element formulation of geometrically exact shells incorporating drilling degrees of freedom, An assumed strain approach avoiding artificial thickness straining for a non‐linear 4‐node shell element, Structural analysis of composite laminates using a mixed hybrid shell element, Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995), On the parametrization of finite rotations in computational mechanics. A classification of concepts with application to smooth shells, Warping and in-plane twist parameters in kinematics of finite rotation shells, Use of Quadratic Strain Interpolation Functions in a Mixed Quadrilateral Shell Element, Kinematics of finite rotation shells with in-plane twist parameter, Thermomechanical coupling in folded plates and non-smooth shells

Cites Work

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• On drilling degrees of freedom
• On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
• A triangular membrane element with rotational degrees of freedom
• On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory
• A theorem regarding the locking of tapered four-noded membrane elements
• A unified formulation for triangular and quadrilateral flat shell finite elements with six nodal degrees of freedom
• A compatible triangular element including vertex rotations for plane elasticity analysis
• A robust quadrilateral membrane finite element with drilling degrees of freedom
• A refined four-noded membrane element with rotational degrees of freedom
• A quadrilateral finite element including vertex rotations for plane elasticity analysis
• Theory and finite element formulation of rubberlike membrane shells using principal stretches
• Thin shells with finite rotations formulated in biot stresses: Theory and finite element formulation