Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/wiley/least-square-finite-element-for-elasto-static-problems-use-of-reduced-sUvh6jD6xq
References (6)
-
Zienkiewicz Zienkiewicz, Godbole Godbole (1974)
Flow of plastic and visco‐plastic solids with special reference to extrusion and forming processesInt. J. num. Meth. Engng, 8
-
O. Zienkiewicz, R. Lewis (1972)
An analysis of various time‐stepping schemes for initial value problemsEarthquake Engineering & Structural Dynamics, 1
-
P. Lynn, Santosh Arya (1973)
Use of the least squares criterion in the finite element formulationInternational Journal for Numerical Methods in Engineering, 6
-
O. Zienkiewicz (1971)
The Finite Element Method In Engineering Science -
R. Howland
On the Stresses in the Neighbourhood of a Circular Hole in a Strip under TensionPhilosophical Transactions of the Royal Society A, 229
-
O. Zienkiewicz, R. Taylor, J. Too (1971)
Reduced integration technique in general analysis of plates and shellsInternational Journal for Numerical Methods in Engineering, 3
- Publisher
- Wiley
- Copyright
- Copyright © 1974 John Wiley & Sons, Ltd
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- DOI
- 10.1002/nme.1620080212
- Publisher site
- See Article on Publisher Site
Abstract
A least square based finite element algorithm is developed for some elasto‐static problems. In the formulation both stresses and displacements appear as simultaneous variables. In two dimensional (plane) analysis, parabolie isoparametric elements are used. Considerable improvement of performance is obtained with a numerical integration based on 2 × 2 Gauss point distribution over more accurate integration schemes. Reasons for this are presented. The formulation is extended in the section ‘General least square formulation’ to beams and plates with a similar success of ‘reduced’ integration.
Journal
International Journal for Numerical Methods in Engineering – Wiley
Published: Jan 1, 1974