Plastic zone correction in a stretched thick-walled cylinder with an internal circumferential crack
✍ Scribed by B.M. Singh; A. Cardou; M.C. Au
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 486 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
The paper considers the axisymmetric problem of a circular edge crack on the inner surface of a long thick-walled cylinder constituted with an ideally elastic-plastic material. The walls of the cylinder are assumed to be stress free. Under axial loading, it is assumed that the plastic zone is a thin in-plane layer annulus, at the crack tip. The Dugdale hypothesis is adopted to determine the size of that plastic zone. Using standard transform techniques, the problem is formulated as a Fredholm integral equation of the first kind. This integral equation is then solved numerically and, using the boundedness of axial stress, the size of the plastic zone is obtained. Results are applicable to so-called quasi-brittle solids.