This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Further Investigation of a Relation for Cumulative Fatigue Damage in Bending
ISSN: 0148-7191, e-ISSN: 2688-3627
Published January 01, 1964 by SAE International in United States
Annotation ability available
The fatigue behavior of several steels, AISI 4130, E52100, and 304 ELC stainless, as well as that of a nonferrous alloy, 5456-H311, was investigated in rotating bending fatigue after these materials were subjected to a prestress for different cyclic histories. The data obtained corroborated the hypothesis proposed by the authors that lines representing the S - log N relation of a material prestressed in varying amounts will intersect the S - log N line of the original material near a common point.
A correlation was found between the stress at this intersection point and the ultimate tensile strength. Thus, the only requirements for establishing the fatigue behavior of a prestressed material in the range of stresses where the S -log N line is inclined are the S - log N line of the original material and the ultimate tensile strength.
The importance of determining the new endurance limit of a material after prestressing was shown analytically. The omission from cycle ratio summations of cyclic histories applied below the original, but above the new endurance limit of a material, was shown for an illustrative example to result in a cycle ratio summation less than unity, which leads to unconservative estimates of fatigue life. Cyclic histories so applied can produce damage and must be taken into account. A new hypothesis based upon actual fatigue behavior and incorporating a cycle-ratio - modified-stress-ratio factor is suggested, which holds promise for more accurately predicting the new endurance limit than most existing methods. Extensive additional tests are required to verify this concept
CitationManson, S., Nachtigall, A., Ensign, C., and Freche, J., "Further Investigation of a Relation for Cumulative Fatigue Damage in Bending," SAE Technical Paper 640498, 1964, https://doi.org/10.4271/640498.
- Richart F. E., and Newmark N. M., “An Hypothesis for the Determination of Cumulative Damage in Fatigue,” ASTM Proc., Vol. 48 (1948), 767-800.
- Marco S. M., and Starkey W. L., “A Concept of Fatigue Damage,” Trans. ASME, Vol. 76 (1954), 627-632.
- Corten H. T., and Dolan T. J., “Cumulative Fatigue Damage,” Inst. of Mech. Engrs., Vol. I (London), 1956.
- Freudenthal A. M., and Heller R. A., “Accumulation of Fatigue Damage.” “Fatigue in Aircraft Structures.” New York: Academic Press, Inc., 1956, 146-177.
- Freudenthal A. M., and Heller R. A., “On Stress Interaction in Fatigue and a Cumulative Damage Rule: Part I - 2024 Aluminum and SAE 4340 Steel Alloys.” WADC TR 58-69 (1958), (AD. 155687).
- Palmgren A., “die Lebensdauer von Kugellagern,” ZVDI, Vol. 68, (1924), 339-341.
- Miner M. A., “Cumulative Damage in Fatigue,” J. Appl. Mechanics, Vol. 12 (1945), A159-A164.
- Henry D. L., “Theory of Fatigue-Damage Accumulation in Steel,” Trans. ASME, Vol. 77 (1955), 913-918.
- Gatts R. R., “Application of a Cumulative Damage Concept to Fatigue,” Trans. ASME, Ser. D: J. Basic Eng., Vol. 83 (1961)(2)), 529-540.
- Brown G. W., and Work C. E., “An Evaluation of the Influence of Cyclic Prestressing on Fatigue Limit,” Proceedings ASTM, Vol. 63.
- Grover Horace J., “Cumulative Damage Theories,” Fatigue of Aircraft Structures, WADC Symposium, WADC, TR-59-507 (Aug. 1959), 207-225.
- Bennett J. A., “A Study of the Damaging Effect of Fatigue Stressing on X4130 Steel,” Proc. ASTM, Vol. 46 (1946), 693-711.
- Manson S. S., Nachtigall A. J., and Freche J. C., “A Proposed New Relation for Cumulative Fatigue Damage in Bending,” Proc. ASTM, Vol. 61 (1961), 679-703.
- “A Tentative Guide for Fatigue Testing and the Statistical Analysis of Fatigue Data,” ASTM STP No. 91-A, (1958).