𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the stabilization of the rectangular 4-node quadrilateral element

✍ Scribed by Hueck, U. ;Reddy, B. D. ;Wriggers, P.

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
376 KB
Volume
10
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The standard bilinear displacement field of the plane linear elastic rectangular 4‐node quadrilateral element is enhanced by incompatible modes. The resulting gradient operators are separated into constant and linear parts corresponding to underintegration and stabilization of the element stiffness matrix. Minimization of potential energy is used to generate exact analytical expressions for the hourglass stabilization of the rectangle. The stabilized element is shown to coincide with the element obtained by the mixed assumed strain method.

πŸ“œ SIMILAR VOLUMES

Rotational dependence of the superconver
Rotational dependence of the superconvergent patch recovery and its remedy for 4-node isoparametric quadrilateral elements
✍ Oh, Hyung-Seok ;Batra, R. C. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 142 KB πŸ‘ 2 views

The superconvergent patch recovery (SPR) with bilinear interpolation functions usually gives good values of recovered stresses in an element patch. However, when 4-node quadrilateral elements meeting at a node are rigidly rotated with the essential and natural boundary conditions unchanged, the reco