𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Estimating stress intensity factors with singular components of the total finite element solution

✍ Scribed by G. H. Staab


Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
599 KB
Volume
18
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

Displacement formulated singular elements are compared to isoparametric quarter‐node 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.


πŸ“œ SIMILAR VOLUMES


The superposition of the finite element
✍ Wei-Zang Chien; Zhi-Cheng Xie; Qiu-Lin Gu; Zong-Fa Yang; Chun-Tian Zhou πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 507 KB

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

The calculation of stress intensity fact
✍ Si-Kui Yu; Zhi-Tan Li; Wen-An Cai πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 99 KB

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

The computation of 2-D stress intensity
✍ Nguyen Dang Hung; Gery de Saxce; Kang Chi-Hang πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 655 KB

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