Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-25T17:33:12.386Z Has data issue: false hasContentIssue false

On the Determination of Stress Intensity Factors for Cracked Thick Cylinders

Published online by Cambridge University Press:  21 February 2011

A P Parker
Affiliation:
Head of Department
C P Andrasic
Affiliation:
Research Fellow Department of Mechanical and Civil Engineering North Staffordshire Polytechnic Beaconside, Stafford. ST18 OAD. England.
Get access

Abstract

The authors have previously published stress intensity (K) solutions for singly and multiply cracked thick cylinders with internal pressure and autofrettage stress fields. In this paper a method of obtaining K values for intermediate radii ratios is proposed. The method involves an approximate superposition procedure which models the removal (or addition) of cylinder material and is based on the nearest available radii ratio. The procedure is exact for very short crack lengths, and generally gives answers within 5% at crack lengths up to 20% of wall thickness (wherein most of the fatigue lifetime is expended) after removal of 20% of the wall thickness. A simple expression is given for the anticipated change in fatigue lifetime resulting from material removal.

Type
Research Article
Copyright
Copyright © Materials Research Society 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Andrasic, C P and Parker, A P, “Stress Intensity Factors for Externally and Internally Cracked Pressurized Thick Cylinders with Residual and Thermal Stresses”, Int. Conf. on Fracture Mechanics, Melbourne (1982).CrossRefGoogle Scholar
2. Parker, A P and Andrasic, C P, “Stress Intensity Factors for Multiply–Cracked Thick Cylinders and Cracked Ring Segments”, Technical Note MAT/28, Royal Military College of Science, Shrivenham (1981).Google Scholar
3. Parker, A P, “Stress Intensity and Fatigue Crack Growth in Multiply–Cracked, Pressurized, Partially Autofrettaged Thick Cylinders”, Fatigue of Engng Materials and Structs, 4, 4, 321330 (1981).CrossRefGoogle Scholar
4. Timoshenko, S P and Goodier, J M, “Theory of Elasticity”, 3rd Edition (McGraw–Hill 1970).Google Scholar
5. Paris, P C and Erdogan, F, “A Critical Analysis of Crack Propagation Laws”, J Bas. Engng., 85, 528534 (1963).CrossRefGoogle Scholar
6. Gurney, T R, “Fatigue of Welded Structured”, 2nd Edition (Cambridge University Press 1979).Google Scholar
7. Hill, R, “The Mathematical Theory of Plasticity”, (Oxford University Press 1967).Google Scholar