Although there are many kinds of finite element method for determining the stress intensity factor, the problem is still very complicated because of the existence of the singularity at the crack tip. In this paper the superposition of the ordinary finite element method on the singularity terms is ap
Estimating stress intensity factors with singular components of the total finite element solution
β Scribed by G. H. Staab
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 599 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
Abstract
Displacement formulated singular elements are compared to isoparametric quarterβnode elements. The total stress and displacement solution for each element is decomposed into singular and regular components for evaluating stress intensity factors. Specific relationships between nodal displacements and the singular component of stress are presented for the isoparametric element at selected locations within the element. Numerical results for K~I~ and K~II~ in the slant crack problem are presented. The singular components are shown to produce superior results when considering crack opening displacements.
π SIMILAR VOLUMES
A circular element centered at the crack tip is constructed. According to the first four terms of Williams stress function, the displacement pattern with singularity is given to the circular element, where unknown parameters are considered as generalized nodal displacements. On the interface between
A new approach for the analysis of stress fields around a crack is proposed on the basis of the formulation of hybrid mongrel displacement finite element concept which secured monotonic convergence. The use of a special singular element concept which contains the series of singularity of stress fiel