Representation of singularities with isoparametric finite elements
β Scribed by S. E. Benzley
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 284 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
Abstract
The development of a generalized quadrilateral finite element that includes a singular point at a corner node is presented. Interβelement conformability is maintained so that monotone convergence is preserved. The globalβlocal concept of finite elements is used to formulate the complete set of equations. Examples of crack tip singularities are given.
π SIMILAR VOLUMES
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
## Abstract For the general quadrilateral isoparametric elements with 4(__n__β1) 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