A robust quadrilateral membrane finite element with drilling degrees of freedom
- 20 August 1990
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 30 (3) , 445-457
- https://doi.org/10.1002/nme.1620300305
Abstract
A quadrilateral membrane finite element with drilling degrees of freedom is derived from variational principles employing an independent rotation field. Both displacement based and mixed approaches are investigated. The element exhibits excellent accuracy characteristics. When combined with a plate bending element, the element provides an efficient tool for linear analysis of shells.Keywords
This publication has 14 references indexed in Scilit:
- A refined four-noded membrane element with rotational degrees of freedomComputers & Structures, 1988
- A quadrilateral finite element including vertex rotations for plane elasticity analysisInternational Journal for Numerical Methods in Engineering, 1988
- The patch test—a condition for assessing FEM convergenceInternational Journal for Numerical Methods in Engineering, 1986
- A triangular membrane element with rotational degrees of freedomComputer Methods in Applied Mechanics and Engineering, 1985
- A flat triangular shell element with improved membrane interpolationCommunications in Applied Numerical Methods, 1985
- A compatible triangular element including vertex rotations for plane elasticity analysisComputers & Structures, 1984
- Evaluation of a new quadrilateral thin plate bending elementInternational Journal for Numerical Methods in Engineering, 1982
- Mixed finite element methods — Reduced and selective integration techniques: A unification of conceptsComputer Methods in Applied Mechanics and Engineering, 1978
- The static condensation algorithmInternational Journal for Numerical Methods in Engineering, 1974
- A note on variational principles in elasticityInternational Journal of Solids and Structures, 1965