𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The superposition of the finite element method on the singularity terms in determining the stress intensity factor

✍ Scribed by Wei-Zang Chien; Zhi-Cheng Xie; Qiu-Lin Gu; Zong-Fa Yang; Chun-Tian Zhou

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
507 KB
Volume
16
Category
Article
ISSN
0013-7944

No coin nor oath required. For personal study only.

✦ Synopsis

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 applied to determine the stress intensity factor. Thus the problem is greatly simplified and the accuracy of the result is improved. For instance, the errors in the stress intensity factors of a single-edge-cracked plate under uniform tension with the ratio of the crack length to width of the plate 0.5 and 0.8 are 2.8 and 3.5% respectively.

πŸ“œ SIMILAR VOLUMES

Estimating stress intensity factors with
Estimating stress intensity factors with singular components of the total finite element solution
✍ G. H. Staab πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 599 KB

## 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 dis

On the principle of superposition for st
On the principle of superposition for stress intensity factors
✍ B. Aamodt; P.G. Bergan πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 229 KB

The principle of superposition as applied for stress intensity factors for different types of loading will be discussed. Using an energy formulation, it will be shown that stress intensity factors for different loading types are additive provided all loading types tend to open the crack. Negative pa

Determining the stress intensity factors
Determining the stress intensity factors KI, KII and the T-term via the conservation laws using the boundary element method
✍ P.C. Olsen πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 874 KB

A new method for determining the stress intensity factors K, and K,, is presented. The method is based on the conservation laws, from which the property that the J,, J, and L integrals are zero for any closed path of integration is utilized. The integrals above are evaluated numerically for a circul