𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Representation of singularities with isoparametric finite elements

✍ Scribed by S. E. Benzley


Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
284 KB
Volume
8
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

The development of a generalized quadrilateral finite element that includes a singular point at a corner node is presented. Inter‐element conformability is maintained so that monotone convergence is preserved. The global‐local concept of finite elements is used to formulate the complete set of equations. Examples of crack tip singularities are given.


πŸ“œ SIMILAR VOLUMES


On superconvergence of isoparametric bil
✍ Zhang, Lin ;Li, Likang πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 528 KB

In this paper the superconvergence property of isoparametric bilinear finite elements is considered. A new superconvergence recovery method for isoparametric bilinear finite elements is discovered on the four vertices and the four midpoints of the edges of the elements for piecewise strongly regular

Mathematical simulation of singularities
✍ Adnan H. Nayfeh; Elsayed Abdel-Ati M. Nassar πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 259 KB

## Abstract For the general quadrilateral isoparametric elements with 4(__n__βˆ’1) nodes (i.e. __n__ nodes along each side), it is shown that the inverse square root singularity of the strain field at the crack tip can be obtained by a general but simple rule. This amounts to collapsing the quadrilat