Strength of Materials

, Volume 51, Issue 5, pp 746–752 | Cite as

Fatigue Life Prediction for Specimens with an Open Hole with a Pre-Compressed Boundary Via the Nominal Stresses Under Regular Cyclic Loading

  • P. A. Fomichev
  • A. V. ZarutskiiEmail author

The method of predicting the fatigue life of structural elements containing open holes with a preliminary compressed material in the hole vicinity under cyclic loading is proposed. The method is based on the commonly accepted approach of the life prediction via nominal stresses. The presence of residual stresses caused by plastic deformation of the material in the hole zone is taken into account by adjusting the cyclic load ratio in calculations. The concept of “fictitious compression stresses” is introduced for this purpose; its value is determined by solving the contact problem in an elastoplastic formulation in a finite element package. A functional relation between the value of residual stresses and the fatigue life of specimens with pre-compressed hole surface is established. The calculation results via the proposed method are compared with fatigue test results for specimens with pre-compressed hole surface. Satisfactory correlation between calculated and experimental data is obtained. The advantage of the proposed method is the reduction of required input data to construction of the fatigue curve for standard specimens with a stress-free hole. Considering that for the same alloy with identical heat treatment such curves may differ for different material batches, testing of standard specimens under regular loading is mandatory. Despite a usual scatter in fatigue life experimental values, the proposed method allows one to obtain a reliable and conservative assessment of the effect of hole boundary zone pre-compression on the fatigue life at the design stage.


fatigues life nominal stresses regular loading stress ratio 


  1. 1.
    P. A. Fomichev and A. V. Zarutskii, “Fatigue life prediction by a local stress-strain criterion for hole-containing specimens after precompression of their material,” Strength Mater., 51, No. 2, 193–201 (2019).CrossRefGoogle Scholar
  2. 2.
    A. Z. Vorob’ev, B. I. Ol’kin, V. N. Stebenev, et. al., Fatigue Resistance of Constructional Elements [in Russian], Mashinostroenie, Moscow (1990).Google Scholar
  3. 3.
    V. E. Strizhius, “Fatigue calculation methods for aircraft structure elements under multiaxial loading,” Nauch. Vestn. MGTU GA, No. 187, 65–74 (2012).Google Scholar
  4. 4.
    P. A. Fomichev and A. V. Zarutskii, “Fatigue life of specimens with hardened holes under regular loading,” in: Fracture Mechanics of Materials and Structural Strength (Proc. of the 5th Int. Conf., June 24–27, 2014, Lvov) (2014), pp. 278–282.Google Scholar
  5. 5.
    P. A. Fomichev, “Substantiation of the predicted fatigue curve for structural elements of aluminum alloy,” Strength Mater., 43, No. 4, 363–373 (2011).CrossRefGoogle Scholar
  6. 6.
    A. V. Zarutskii, “Experimental investigation of the fatigue life of specimens with hardened holes. Part 1. Regular loading,” in: Problems of Design and Manufacture of Flying Vehicle Structures [in Russian], Issue 1 (77), Kharkov (2014), pp. 29–35.Google Scholar
  7. 7.
    A. G. Grebenikov, V. A. Matvienko, A. M. Gumennyi, et al., “Experimental study on the effect of plate hardening in the area of a hole by rolling and barrier compression, mandrel burning and barrier compression on their fatigue life,” in: Open Information and Computer Integrated Technologies [in Russian], Issue 37, Kharkov (2007), pp. 44–52.Google Scholar
  8. 8.
    A. G. Grebenikov, “Experimental study on the effect of strip processing methods in the area of a cylinder-conical hole on the characteristics of its fatigue life,” in: Open Information and Computer Integrated Technologies [in Russian], Issue 47, Kharkov (2010), pp. 62–68.Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Zhukovsky National Aerospace University “Kharkov Aviation Institute”KharkovUkraine

Personalised recommendations