Article
A Quadrilateral Mixed Finite Element with Two Enhanced Strain Modes
International Journal for Numerical Methods in Engineering
(1995)
Abstract
An improved plane strain/stress element is derived using a Hu–Washizu variational formulation with bilinear displacement interpolation, seven strain and stress terms, and two enhanced strain modes. The number of unknowns of the four-node element is increased from eight to ten degrees of freedom. For linear and non-linear applications, the two unknowns associated with the enhanced strain terms can be eliminated by static condensation so that eight displacement degrees of freedom remain for the proposed element, which is denoted by QE2. The excellent performance of the proposed element is demonstrated using several linear and non-linear examples.
Keywords
- Quadrilateral,
- Mixed Finite Element,
- Enhanced Strain Modes
Disciplines
Publication Date
June 15, 1995
DOI
10.1002/nme.1620381102
Citation Information
Reinhard E. Piltner and Robert L. Taylor. "A Quadrilateral Mixed Finite Element with Two Enhanced Strain Modes" International Journal for Numerical Methods in Engineering Vol. 38 Iss. 11 (1995) p. 1783 - 1808 ISSN: 1097-0207 Available at: http://works.bepress.com/reinhard_piltner/51/