Skip to main content
SpringerLink
Log in

Effect of Geometric Nonlinearity on the Life of a Herringbone Lock Joint in Creep

  • Published:
Strength of Materials Aims and scope

The effect of geometrically nonlinear deformation on the design life of a herringbone blade joint in creep is examined. The design life is evaluated by the moment scheme of the finite element method. The algorithm for solving the systems of nonlinear equations is based on differentiation with respect to the parameter λ, which consists of the replacement of the system of nonlinear equations with the Cauchy problem for the system of ordinary differential equations with respect to the parameter, which can be the intensity of external mechanical loading or forced displacement. The material deformation in creep is described on the basis of the Kachanov–Rabotnov theory. Geometrically nonlinear deformation is simulated with reference and actual object configurations. The Cauchy of actual stress tensor as an objective derivative is used to describe the stress state, the Aldroid derivative is used to determine strain and stress increments. The design life is evaluated to attain the critical damage parameter of the material. Quantitative and qualitative damage parameter variations with time are followed, and the quantitative estimation of the design life change in view of geometrically nonlinear deformation is carried out.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

References

  1. I. A. Birger, B. F. Schorr, and G. B. Iosilevich, Strength Calculation of Machine Elements: Reference Book [in Russian], Mashinostroenie, Moscow (1979).

  2. N. A. Grubin, Calculation of Herringbone Lock Strength of Turbine Blades [in Russian], Mashinostroenie, Moscow (1970).

  3. G. O. Anishchenko and O. K. Morachkovskii, “Review of solutions of creep and fracture problems for herringbone lock joint of GTE blades”, Vestn. NTU “KhPI”, No. 38, 8–13 (2007).

  4. Yu. S. Vorob’ev, N. Yu. Ovcharova, R. Źondkowski, and T. Yu. Berlizova, “The influence of azimuth orientation of crystallographic axes on thermoelastic state of a GTE blade with a vortex cooling system”, Strength Mater., 48, No. 3, 349–356 (2016), https://doi.org/10.1007/s11223-016-9770-3.

    Article  Google Scholar 

  5. Yu. S. Vorob’ev, V. N. Romanenko, L. G. Romanenko, and V. A. Potanin, “Static and dynamic strengths of the turbine blading of a turbocompressor,” Vestn. Dvigatelestr., No. 3, 86–90 (2008).

  6. L. B. Getsov, B. Z. Margolin, and D. G. Fedorchenko, “Safety factors evaluation of power plant components with FEM calculations”, in: Mechanics of Materials and Strength of Structures [in Russian], No. 489, SPbGPU, St. Petersburg (2004), pp. 162–177.

  7. L. B. Getsov, Materials and Strength of Gas Turbine Components [in Russian], Nedra, Moscow (1996).

  8. A. P. Zinkovskii and Ya. D. Kruglii, “Effect of identity violations of contact interaction between shrouds on the static and dynamic stress state characteristics of blade rings”, Strength Mater., 44, No. 2, 144–156 (2012), https://doi.org/10.1007/s11223-012-9367-4.

    Article  Google Scholar 

  9. R. R. Mavlyutov, Stress Concentrations in Aircraft Structure Elements [in Russian], Nauka, Moscow (1981).

  10. N. N. Malinin, Creep Calculations of Mechanical Engineering Structures [in Russian], Mashinostroenie, Moscow (1981).

  11. S. V. Reznik and D. V. Sapronov, “Design the lock joint of a ceramic blade and metal disk of a gas turbine,” Izv. Vuzov, Ser. Mashinostroenie, No. 9, 29–38 (2014).

  12. B. E. Vasil’ev, I. A. Kiselev, N. A. Zhukov, and A. N. Selivanov, “Function of residual stresses in strength calculation of lock joint elements. Part 2: Residual stress effect on the stress-strain state of a turbine blade root,” Izv. Vuzov, Ser. Mashinostroenie, No. 12, 58–67 (2018).

  13. T. N. Fursova, “Analysis of the stress state of root joints based on traditional and modern methods,” Energosberezhenie. Energetika. Energoaudit, No. 10, 34–40 (2010).

  14. N. G. Shulzhenko, N. N. Grishin, and I. A. Palkov, “Stress state of the lock joint of turbine blades”, Probl. Mashinostr., 16, No. 3, 37–45 (2013).

    Google Scholar 

  15. V. A. Bazhenov, A. I. Gulyar, S. O. Piskunov, and V. P. Andrievskii, “Design life assessment of the blade root of a gas turbine unit under thermomechanical loading”, Strength Mater., 45, No. 3, 329–339 (2013), https://doi.org/10.1007/s11223-013-9463-0.

    Article  Google Scholar 

  16. V. A. Bazhenov, O. I. Gulyar, S. O. Pyskunov, and O. S. Sakharov, Semianalytic Finite Elements Method in the Problems of Continuous Fracture of Space Bodies [in Ukrainian], KNUBA, Kyiv (2014).

  17. V. A. Bazhenov and Yu. V. Maksym’yuk, “Stress-strain state and form change of massive and thin-walled objects,” in: Strength of Materials and Theory of Construction [in Ukrainian], Issue 102, KNUBA, Kyiv (2019), pp. 3–12.

  18. Yu. V. Maksym’yuk, “Algorithm for solving the problems of nonlinear deformation and ridigity of elastoplastic axisymmetric medium-thickness shells,” in: Strength of Materials and Theory of Construction [in Ukrainian, Issue 92, KNUBA, Kyiv (2014), pp. 148–155.

  19. Yu. V. Maksym’yuk, “Indifference of strains and stresses tensors and their increments on condition energy connectivity”, in: Strength of Materials and Theory of Construction [in Ukrainian], Issue 99, KNUBA, Kyiv (2017), pp. 13–16.

  20. Yu. V. Maksimyuk, S. O. Pyskunov, A. A. Shkril’, and O. V. Maksimyuk, “Basic relations for physically and geometrically nonlinear problems of deformation of prismatic bodies,” in: Strength Materials and Theory of Structures [in Ukrainian], Issue 104, KNUBA, Kyiv (2020), pp. 255–264.

  21. S. A. Shesterikov (Ed.), Creep and Creep Rupture Mechanisms: Handbook [in Russian], Mashinostroenie, Moscow (1983).

Download references

Author information

Authors and Affiliations

  1. Kyiv National University of Construction and Architecture, Kyiv, Ukraine

    V. A. Bazhenov, Yu. V. Maksym’yuk & S. V. Mytsyuk

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    S. O. Pyskunov

Authors
  1. V. A. Bazhenov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. O. Pyskunov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. V. Maksym’yuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. V. Mytsyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. O. Pyskunov.

Additional information

V. A. Bazhenov is deceased.

Translated from Problemy Mitsnosti, No. 3, pp. 33 – 38, May – June, 2022.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bazhenov, V.A., Pyskunov, S.O., Maksym’yuk, Y.V. et al. Effect of Geometric Nonlinearity on the Life of a Herringbone Lock Joint in Creep. Strength Mater 54, 372–377 (2022). https://doi.org/10.1007/s11223-022-00412-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11223-022-00412-4

Keywords

Search

Navigation