International Applied Mechanics

, Volume 31, Issue 2, pp 139–148 | Cite as

Evaluating the limiting state of materials with asymmetric cyclic loading and a complex stress state

  • V. P. Golub
  • V. I. Krizhanovskii


In order to construct models of the limiting state in asymmetric cyclic loading, it is best to use the representation of a unique limit curve that is invariant to the time to failure and type of stress state. Isotropic metallic materials were used as an example to show that such a curve does exist and is described satisfactorily by an exponential cosine function.

The models constructed above were used to calculate the limiting state for several steels and alloys acted upon by the combinations of cyclic bending and cyclic torsion, static bending and cyclic torsion, and static torsion and cyclic bending. Results were also calculated for materials with stress raisers. The calculated data were compared with experimental findings and were shown to agree satisfactorily with the latter.


Stress State Experimental Finding Cyclic Loading Calculated Data Cosine Function 
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  1. 1.
    V. P. Golub and V. I. Krizhanovskii, "Evaluating the limiting state of materials subjected to asymmetric high-cycle loading," Probl. Prochn., No. 4, 3–15 (1994).Google Scholar
  2. 2.
    V. P. Golub and E. A. Panteleev, "Damage accumulation and calculation of the fatigue life of rods under axial loading," Probl. Prochn., No. 4, 3–12 (1993).Google Scholar
  3. 3.
    B. Lazan, "Fatigue of structural materials at high temperature," in: Problems of High Temperatures in Aircraft Structures [in Russian], IL, Moscow (1961), pp. 233–256.Google Scholar
  4. 4.
    A. A. Lebedev, Handbook of the Design of Machine Parts [in Russian], Tekhnika, Kiev (1980).Google Scholar
  5. 5.
    A. A. Lebedev, Calculation of Strength in a Complex Stress State [in Russian], Vishcha Shkola, Kiev (1968).Google Scholar
  6. 6.
    A. A. Lebedev, I. N. Shkanov, and Yu. L. Kozhevnikov, "Criteria of the endurance of steels under variable loads for the uniaxial and biaxial static tension," Probl. Prochn., No. 12, 15–19 (1972).Google Scholar
  7. 7.
    A. K. Mirtopol'skii, Methods of Statistical Computation [in Russian], Nauka, Moscow (1971).Google Scholar
  8. 8.
    L. I. Sedov, Similarity and Dimensional Methods in Mechanics [in Russian], Nauka, Moscow (1981).Google Scholar
  9. 9.
    L. I. Sedov, Basic Models in Mechanics [in Russian], Izd. MGU, Moscow (1992).Google Scholar
  10. 10.
    S. V. Serensen, V. P. Kogaev, and R. M. Shneiderovich, Load-Carrying Capacity and the Design of Machine Parts [in Russian], Mashinostroenie, Moscow (1975).Google Scholar
  11. 11.
    B. N. Sinaiskii and M. S. Belyaev, "Effect of stress concentrations on the fatigue resistance of heat-resistant nickel alloys under asymmetric high-cycle loading," Probl. Prochn., No. 9, 32–38 (1985).Google Scholar
  12. 12.
    N. N. Shcheglov, "Strength and ductility under the conditions of combined bending and torsion with variable stresses," Vestn. Mashinostr., No. 4, 27–30 (1961).Google Scholar
  13. 13.
    H. J. Gough and M. I. Mech, "Engineering steels under combined cyclic and static stresses," Proc. Inst. Mech. Eng.,160, No. 4, 147–153 (1949).Google Scholar
  14. 14.
    H. J. Gough and H. V. Pollard, "Properties of some materials for cast crankshafts with special reference to combined stress," Proc. Inst. Automobile Engrs,31, March (1937).Google Scholar
  15. 15.
    H. J. Gough and H. V. Pollard, "The strength of metals under combined alternating stress," Proc. Inst. Mech. Engrs,3, 131–140 (1935).Google Scholar
  16. 16.
    T. J. Guest, "Recent researches on combined stress," Proc. Inst. Automobile Engrs., Dec. (1940).Google Scholar
  17. 17.
    F. C. Lea and H. P. Budgen, "Combined torsional and repeated bending stresses," Engineering, Aug. 20 (1926).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. P. Golub
  • V. I. Krizhanovskii

There are no affiliations available

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