Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-12-01T09:18:55.208Z Has data issue: false hasContentIssue false

A new analysis of fatigue under combined bending and twisting

Published online by Cambridge University Press:  04 July 2016

D. L. McDiarmid*
Affiliation:
The City University, London

Extract

Most service failures in fatigue start on a free surface, as in many cases the most severe stress conditions exist there and are of a bi-axial stress nature, such as a drive shaft under combined bending and twisting. This particular case of multi-axial stress fatigue, because of its importance in design, has seen considerable investigation, although several aspects of the stress situation complicate the analysis of the test results with regard to the development of a general criterion of fatigue failure under multi-axial stress. The principal stress axes rotate with variations in the ratio of bending to twisting and the shaft is subjected to a stress gradient. Only the extreme portions of the shaft in the plane of bending are under the maximum bending stress, whereas the complete surface of the shaft is subjected to the maximum torsion stress.

Type
Technical notes
Copyright
Copyright © Royal Aeronautical Society 1974 

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

1. McDiarmid, D. L. Failure criteria and cumulative damage in fatigue under multi-axial stress conditions. PhD Thesis, The City University, London, 1972.Google Scholar
2. Gough, H. J. et al. Some experiments on the resistance of metals to fatigue under combined stresses. ARC R & M 2522, 1951.Google Scholar
3. Nishihara, T. and Kawamoto, M. The strength of metals under combined alternating bending and torsion. Memoirs College of Engineering, Kyoto Imperial University, Japan, Vol 10, Part 6, p 177201, 1941.Google Scholar
4. Frith, P. H. Fatigue of wrought high-tensile alloy steels. Proceedings of International Conference on Fatigue of Metals. (IMechE), London, p 462, 1956.Google Scholar
5. Findley, W. N. Combined stress fatigue strength of 76S-T61 aluminium alloy with superimposed mean stresses and corrections for yielding. NACA TN 2924, 1953.Google Scholar
6. Findley, W. N., et al. Energy versus stress theories for combined stress—a fatigue experiment using a rotating disk. Trans ASME, Series D, Vol 83, pp 1014, 1961.Google Scholar
7. Stanfield, G. Written discussion. Proceedings of the Institution of Mechanical Engineers, Vol 131, p 93, 1935.Google Scholar
8. Stolen, F. B. and Cummings, H. N. A failure criterion for multi-axial fatigue stresses. Proc ASTM, Vol 54, p 822, 1954.Google Scholar
9. Findley, W. N., et al. Theory for bending and torsion fatigue with data for SAE 4340 steel. Proceedings of International Conference on Fatigue of Metals (IMechE), London, pp 150157, 1956.Google Scholar
10. Findley, W. N. A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending. Trans ASME, Series B, Vol 81, pp 301306, 1959.Google Scholar
11. Findley, W. N. and Coleman, J. J. A theory of the non-linear influence of normal stress on fatigue under combined stresses. Proceedings of Second Conference on the Mechanics of Elasticity and Plasticity (Office of OrdRes), p 214, 1957.Google Scholar
12. Marin, J. Interpretation of fatigue strength for combined stresses. Proceedings of Conference on Fatigue of Metals (IMechE), London, p 184, 1956.Google Scholar
13. Sines, G. Failure of materials under combined repeated stresses. NACA TN 3495, 1955.Google Scholar
14. Booth, S. E. Fatigue failure criterion using two load svstems out of phase. MSc Thesis, University of London, 1970.Google Scholar
15. Crossland, B. Effect of large hydrostatic pressure on the torsion fatigue strength of an alloy steel. Proceedings of International Conference on Fatigue of Metals (IMechE), London, p 138, 1956.Google Scholar
16. McDiarmid, D. L. A general criterion of fatigue failure under multi-axial stress. Proceedings of Second International Conference on Pressure Vessel Technology (ASME), San Antonio, USA, pp 851862, 1973,Google Scholar