Skip to main content
SpringerLink
Log in

Accounting for the elastic properties of viscoplastic lubricant between coaxial rotating cylinders

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

This paper presents a solution of the boundary-value problem of the stress–strain state of a friction unit placed in the gap between rigid rotating cylinders. It is assumed that the two-layer incompressible material of these unit has elastic, viscous, and plastic properties and different values of the elastic moduli, stress limit, and viscosity. The conditions of the occurrence of viscoplastic flow, motion of the elastoplastic boundary in a deformable medium, and interaction of the latter with the contact boundary of the materials were determined. Limiting values of the characteristic rotation parameters at which the damping layer of the friction unit is not deformed plastically are given. The velocity and stress fields for acceleration and deceleration of the lubricant flow are calculated.

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

Similar content being viewed by others

References

  1. A. A. Burenin, G. I. Bykovtsev, and L. V. Kovtanyuk, “One Simple Model for an Elastic–Plastic Medium under Finite Deformations,” Dokl. Akad, Nauk 347 (2), 199–201 (1996).

    Google Scholar 

  2. A. A. Burenin and L. V. Kovtanyuk, Large Irreversible Deformations and Elastic Relaxation (Dal’nauka, Vladivostok, 2013) [in Russian].

    Google Scholar 

  3. G. I. Bykovtsev and A. V. Shitikov, “Finite Deformation of Elastic–Plastic Media,” Dokl. Akad. Nauk SSSR 311 (1), 59–62 (1990).

    MathSciNet  Google Scholar 

  4. V. I. Kondaurov, “Equations of Elastoviscoplastic Medium with Finite Deformations,” Prikl. Mekh. Tekh. Fiz., No. 4, 133–139 (1982) [J. Appl. Mech. Tech. Phys. No. 4, 584–591 (1982)].

    MathSciNet  Google Scholar 

  5. V. I. Levitas, Large Elastoplastic Deformation of Materials under High Pressure (Naukova Dumka, Kiev, 1987) [in Russian].

    Google Scholar 

  6. V. P. Myasnikov, “Equations of Motion of Elastic–Plastic Materials under Large Deformations,” Vestn. Dal’nevost. Otd. Ross. Akad. Nauk, No. 4, 8–13 (1996).

    Google Scholar 

  7. A. A. Pozdeev, P. V. Trusov, Y. I. Nyashin, Large Elastoplastic Deformation: Theory, Algorithms, and Applications (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  8. A. A. Rogovoi, “Constitutive Relations for Finite Elastic-Inelastic Strains,” Prikl. Mekh. Tekh. Fiz. 46 (5), 138–149 (2005) [J. Appl. Mech. Tech. Phys. 46 (5), 730–739 (2005)].

    MATH  MathSciNet  Google Scholar 

  9. Heng Xiao, O. T. Bruhns, and A. Meyers, “Thermodynamic Laws and Consistent Eulerian Formulation of Finite Elastoplasticity with Thermal Effects,” J. Mech. Phys. Solids. 55, 338–365 (2007).

    Article  MathSciNet  ADS  Google Scholar 

  10. E. N. Lee, “Elastic–Plastic Deformation at Finite Strains,” Trans. ASME, J. Appl. Mech. 36 (1), 1–6 (1969).

    Article  MATH  ADS  Google Scholar 

  11. A. A. Burenin, L. V. Kovtanyuk, and A. S. Ustinova, “Accounting for the Elastic Properties of a Non-Newtonian Material under Its Viscosimetric Flow,” Prikl. Mekh. Tekh. Fiz. 49 (2), 143–151 (2008) [J. Appl. Mech. Tech. Phys. 49 (2), 277–284 (2008)].

    MathSciNet  Google Scholar 

  12. A. A. Burenin and A. S. Ustinova, “Development and Deceleration of Screw Viscoplastic Flow with Calculation of the Elastic Response after Stop of the Flow and Unloading,” in Progress in Continuum Mechanics: On the Occasion of the 70th Anniversary of Academician V. A. Levin (collected papers) (Dal’nauka, Vladivostok, 2009), pp. 91–102.

    Google Scholar 

  13. L. V. Kovtanyuk, V. P. Matveenko, and A. A. Burenin, “Elastoviscoplastic Flow in a Tube with a Changing Pressure Gradient,” Vestn. Chuvash. Gos. Ped. Univ. Yakovleva, Ser. Mekh. Predel’n. Sost., No. 1, 68–79 (2013).

    Google Scholar 

  14. G. L. Panchenko, “Rectilinear Flow in an Elastoviscoplastic Cylindrical Layer with One-Sided Slip,” Vychisl. Mekh. Sploshn. Sred 4 (4), 86–96 (2011).

    MathSciNet  Google Scholar 

  15. A. I. Lur’e, Nonlinear Theory of Elasticity (Nauka, Moscow, 1980) [in Russian].

    MATH  Google Scholar 

  16. G. I. Bykovtsev and D. D. Ivlev, Theory of Plasticity (Dal’nauka, Vladivostok, 1998) [in Russian].

    Google Scholar 

  17. V. A. Znamenskii and D. D. Ivlev, “Equations of a Viscoplastic Body with Piecewise Linear Potentials,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Mekh. Mashinosntr., No. 6, 114–118 (1963).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia

    A. S. Begun & L. V. Kovtanyuk

  2. Vladivostok State University of Economics and Service, Vladivostok, 690014, Russia

    A. S. Begun

  3. Institute of Engineering and Metallurgy, Far East Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005, Russia

    A. A. Burenin & S. G. Zhilin

Authors
  1. A. S. Begun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Burenin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. G. Zhilin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. V. Kovtanyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. S. Begun.

Additional information

Original Russian Text © A.S. Begun, A.A. Burenin, S.G. Zhilin, L.V. Kovtanyuk.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 3, pp. 213–223, May–June, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Begun, A.S., Burenin, A.A., Zhilin, S.G. et al. Accounting for the elastic properties of viscoplastic lubricant between coaxial rotating cylinders. J Appl Mech Tech Phy 56, 530–539 (2015). https://doi.org/10.1134/S0021894415030244

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894415030244

Keywords

Search

Navigation