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A method for fatigue analysis of metallic and composite materials under asymmetric high-cycle loading

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Abstract

A new method of plotting limit stress diagrams is set forth. The method is based on the hypothesis of unified limit diagram invariant to the number of cycles to failure. The unified diagram is given by a transcendental power function whose exponent is considered an additional material constant characterizing the sensitivity of the material to cycle asymmetry (stress ratio). The equations derived on the basis of this function encompass all forms of limit stress diagrams, including convex, nearly rectilinear, and concave ones. The method is tested for a wide range of metallic and composite materials subjected to asymmetric tension-compression, bending, and torsion.

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REFERENCES

  1. L. N. Bol’shev and V. N. Smirnov, Tables of Mathematical Statistics [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  2. A. Z. Vorob’ev, B. I. Ol’kin, V. N. Stebenev, and T. S. Rodchenko, Fatigue Strength of Structural Members [in Russian], Mashinostroenie, Moscow (1990).

    Google Scholar 

  3. H. J. Gough, Fatigue of Metals, London (1924).

  4. V. P. Golub and V. I. Krizhanovskii, “Evaluating the limit state of materials under asymmetric high-cycle loading,” Probl. Prochn., No. 4, 3–15 (1994).

  5. N. I. Gordeev, “Ultimate cyclic strength for asymmetric cycles,” in: Strength of Metals under Variable Loads [in Russian], Izd. AN SSSR, Moscow (1963), pp. 119–126.

    Google Scholar 

  6. D. S. Elenevskii and L. M. Shneerson, “Endurance of surface-impregnated steel parts under asymmetric cyclic loading,” Vestn. Mashinostr., No. 10, 17–22 (1960).

  7. I. A. Oding, Strength of Metals [in Russian], ONTI, Leningrad-Moscow (1935).

    Google Scholar 

  8. P. P. Oldyrev, “Influence of the mean cyclic stress on the high-cycle fatigue of reinforced plastics under axial loading,” Mekh. Komp. Mater., No. 5, 850–859 (1984).

  9. P. P. Oldyrev, “Limit stress diagram for reinforced plastics under high-cycle asymmetric bending,” Mekh. Komp. Mater., No. 1, 70–72 (1985).

  10. S. V. Serensen, V. P. Kogaev, and P. M. Shneiderovich, Load-Bearing Capacity and Strength Design of Machine Parts: A Handbook [in Russian], Mashinostroenie, Moscow (1975).

    Google Scholar 

  11. V. T. Troshchenko, A. Ya. Krasovskii, L. A. Sosnovskii, and V. A. Strizhalo, Resistance of Materials to Deformation and Fracture: A Handbook [in Russian], part 2, Naukova Dumka, Kiev (1994).

    Google Scholar 

  12. P. G. Forrest, Fatigue of Metals, Pergamon Press, London (1962).

    Google Scholar 

  13. A. Hald, Statistical Theory with Engineering Applications, John Wiley&Sons, New York, Chapman&Hall, London (1946).

    Google Scholar 

  14. R. B. Heywood, Designing Against Fatigue, Chapman & Hall, London (1962).

    Google Scholar 

  15. W. T. Chodorowski, “Fatigue strength in shear of alloy steel with particular reference to the effect of mean stress and directional properties,” in: Proc. Int. Conf. on Fatigue of Metals London (1956), pp. 122–131.

  16. W. N. Findley, “Fatigue test of a laminated Mitscherlich-paper plastic,” Proc. ASTM, 45, 878–903 (1945).

    Google Scholar 

  17. V. P. Golub, “The nonlinear mechanics of continual damage and its application to problems of creep and fatigue,” Int. Appl. Mech., 36, No.3, 303–342 (2000).

    Google Scholar 

  18. V. P. Golub, “Experimental analysis of high-temperature creep, fatigue, and damage. 1. Analysis methods,” Int. Appl. Mech., 37, No.4, 425–455 (2001).

    Google Scholar 

  19. V. P. Golub, V. V. Kasperskaya, and A. A. Rusinov, “Time to creep failure of thin-walled cylindrical pipes under torsion,” Int. Appl. Mech., 40, No.6, 686–693 (2004).

    Google Scholar 

  20. H. J. Gough and W. A. Wood, “Deformation and fracture of mild steel under cyclic stresses,” Proc. Inst. Mech. Eng., No. 141, 175–193 (1939).

  21. B. J. Lazan and A. A. Blatherwick, “Strength properties of rolled aluminum alloys under various combinations of alternating and mean axial fatigue stresses,” Proc. ASTM, 53, 856–870 (1953).

    Google Scholar 

  22. D. Revuelta and A. Miravete, “Fatigue damage in composite materials,” Int. Appl. Mech., 38, No.2, 121–134 (2002).

    Google Scholar 

  23. Ya. A. Zhuk and I. K. Senchenkov, “Approximate model of thermomechanically coupled inelastic strain cycling,” Int. App. Mech., 39, No.3, 300–306 (2003).

    Google Scholar 

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Translated from Prikladnaya Mekhanika, Vol. 40, No. 11, pp. 106–116, November 2004.

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Golub, V.P., Krizhanovskii, V.I. & Pogrebnyak, A.D. A method for fatigue analysis of metallic and composite materials under asymmetric high-cycle loading. Int Appl Mech 40, 1281–1289 (2004). https://doi.org/10.1007/s10778-005-0035-2

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  • DOI: https://doi.org/10.1007/s10778-005-0035-2

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