A quadrilateral finite element including vertex rotations for plane elasticity analysis
- 1 March 1988
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 26 (3) , 717-730
- https://doi.org/10.1002/nme.1620260314
Abstract
A finite element of arbitrary quadrilateral shape is presented for plane elasticity analysis. The element is derived from triangular fields of compatible quadratic displacements with vertex connectors which include rotations. All rigid body movements and constant strain states are recovered exactly. Results from several test problems demonstrate that very good numerical accuracy is obtained for both displacements and stresses, even for quite coarse finite element meshes.Keywords
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