W-A simpk limiting procedure is reveakd whereby tk three-dimensional state of stress and defonaatba around pa&olii cracks or flaws embedded in elastic solids may be obtained. Several results are derived from availabk solutions conceraing elliptical cracks or thin-sheet rigid inclusions. In particula
Evaluation of the elastic stress distribution ahead of a crack by weight functions
โ Scribed by M. Beghini; L. Bertini; E. Vitale
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 750 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0013-7944
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstra&-A method is illustrated for the evaluation of the stress distribution ahead of a crack under Mode I loading. The method is based on the knowledge of the weight function, whose general properties are employed to derive an integral equation. The solution of this integral equation, having the stress d~~bution as the unknown function, is reached through a numerical technique. Corn~~son with theoretical solutions shows that the proposed method allows an accurate ~pr~uction of the stress ~s~bution for every distance from the crack tip. The possibilities offered by the use of the method in combination with local fracture criteria are discussed.
๐ SIMILAR VOLUMES
A closed-form weight function formula is used to calculate the stress intensity factor of an edge crack in a finite elastic disc. The result is applied to the problems of a rotating disc and an infinite long cylinder under thermal shock.
## A~~ct~uasistatically propagating plane stress tensile and anti-plane strain cracks in an elastic-~~ectIy-plastic solid have been studied. In the plastic loading zone, based on the basic equations of the Prandtl-Reuss flow rule and the Huber-Mises yield criterion, the stresses and particle veloc
The small scale yielding for mixed mode I and II plane stress crack problems in elastic perfectly-plastic solids is analysed by considering the stress field near the crack line. By expanding the stresses near the crack line and matching the stress field in the plastic zone with the elastic dominant
In this paper, a mode II plane stress crack in au ei~~c-~ec~y-~~tic material has been investigated. In the plastic zone, based on the Huber-!&sea yield criterion and the Prandtl-Reuss flow rule, the stress field near crack line is expanded in power series of the distance, y, to the crack line. The u