Skip to main content
SpringerLink
Log in

Thermoelastic Instability in Coupled Thermoelastic Sliding Wear Problem

  • Conference paper
  • First Online:
Advanced Materials

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 224))

Abstract

Thermoelastic instability is considered in the case of the rigid semi-infinite body sliding over the coating surface, exposing it to abrasive wear and frictional heating. The solution of the formulated quasi-static coupled thermoelasticity problem is represented in the form of integrals of the inverse Laplace transform, which are found to be dependent on four dimensionless parameters. Analysis of the integrand poles with respect to these parameters reveals four types of stability and instability regions. Expressions for temperature, contact stresses and wear of the coating are obtained in form of series over integrands poles. Numerical analysis of the solution is carried out with respect to the dimensionless and dimensional parameters of the problem. Particular attention is paid to the effect of the thermoelastic coupling parameter.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. M.A. Biot, J. Appl. Phys. 27(3), 240 (1956)

    Article  Google Scholar 

  2. H. Deresiewicz, Proceedings of the 3rd U.S. National Congress Applied Mechanics (Brown University, Providence, 1958), p. 287

    Google Scholar 

  3. P. Chadwick, in Progress in Solid Mechanics, ed. by I.N. Sneddon, R. Hill (North-Holland Publishing Company, Amsterdam, 1960), p. 263

    Google Scholar 

  4. B.A. Boley, J.H. Weiner, Theory of Thermal Stresses (Wiley, New York, 1960)

    Google Scholar 

  5. W. Nowacki, Dynamic Problems of Thermoelasticity (Springer Science & Business Media, Noordhoff, Gronigen, 1975)

    Google Scholar 

  6. R.E. Nickell, J.L. Sackman, J. Appl. Mech. 35(2), 255 (1968)

    Article  Google Scholar 

  7. J.T. Oden, Nucl. Eng. Des. 10(4), 465 (1969)

    Article  Google Scholar 

  8. J.H. Prevost, D. Tao, J. Appl. Mech. 50(4a), 817 (1983)

    Article  Google Scholar 

  9. J.P. Carter, J.R. Booker, Comput. Struct. 31(1), 73 (1989)

    Article  Google Scholar 

  10. A. Hacquin, P. Montmitonnet, J.P. Guillerault, J. Mater. Process. Technol. 60(1), 109 (1996)

    Article  Google Scholar 

  11. M. Repka, A. Lion, Thermochim. Acta 581, 62 (2014)

    Article  CAS  Google Scholar 

  12. V.F. Gribanov, N.G. Panichkin, Coupled and Dynamic Problems of Thermoelasticity (Mashinostroenie, Moscow, 1984). (in Russian)

    Google Scholar 

  13. V.M. Alexandrov, G.K. Annakulova, J. Friction Wear 11(1), 24 (1990)

    Google Scholar 

  14. V.M. Alexandrov, G.K. Annakulova, J. Friction Wear 13(1), 154 (1992)

    Google Scholar 

  15. A.A. Evtushenko, Y.A. Pyryev, Izvestiya Rossiyskoy Akademii Nauk. Mekhanika Tverdogo Tela (1), 114 (1997)

    Google Scholar 

  16. YuA Pyryev, D.V. Grilitsky, Appl. Math. Tech. Phys. 37(6), 99 (1996)

    Google Scholar 

  17. Y.A. Pyryev, Phys.-Chem. Mech. Mat. 36(3), 53 (2000) (in Russian)

    Google Scholar 

  18. J. Awrejcewicz, Yu. Pyryev, Int. J. Eng. Sci. 40(10), 1113 (2002)

    Article  Google Scholar 

  19. V.B. Zelentsov, B.I. Mitrin, I.A. Lubyagin, Comput. Mech. Continuous Media 9(4), 430 (2016)

    Article  Google Scholar 

  20. N. Strömberg, L. Johansson, A. Klarbring, Int. J. Solids Struct. 33(13), 1817 (1996)

    Article  Google Scholar 

  21. K.T. Andrews, M. Shillor, S. Wright, A. Klarbring, Int. J. Eng. Sci. 35(14), 1291 (1997)

    Article  Google Scholar 

  22. N. Strömberg, Comput. Methods Appl. Mech. Eng. 177(3–4), 441 (1999)

    Article  Google Scholar 

  23. A.D. Kovalenko, Thermoelasticity: Basic Theory and Applications (Wolters-Noordhoff, Groningen, 1970)

    Google Scholar 

  24. F.P. Bowden, D. Tabor, The Friction and Lubrication of Solids (Oxford, London, 1950)

    Google Scholar 

  25. J.F. Archard, J. Appl. Phys. 24(8), 981 (1953)

    Article  Google Scholar 

  26. YuA Brychkov, A.P. Prudnikov, Integral Transformations of Generalized Functions (Nauka, Moscow, 1977). (in Russian)

    Google Scholar 

  27. V.A. Ditkin, A.P. Prudnikov, Operational Calculus (Vishaya Shkola, Moscow, 1975). (in Russian)

    Google Scholar 

  28. A. Hurwitz, R. Courant, Theory of Functions (Nauka, Moscow, 1968). (in Russian)

    Google Scholar 

  29. V.B. Zelentsov, B.I. Mitrin, S.M. Aizikovich, L.L. Ke, Mat. Phys. Mech. 23, 14 (2015)

    Google Scholar 

  30. V.B. Zelentsov, B.I. Mitrin, I.A. Lubyagin, J. Friction Wear 38(4), 265 (2017)

    Article  Google Scholar 

  31. V.B. Zelentsov, B.I. Mitrin, S.M. Aizikovich, J. Friction Wear 37(3), 213 (2016)

    Article  Google Scholar 

Download references

Acknowledgements

The work was carried out within the framework of the State Assignment of the Ministry of Education and Science of the Russian Federation Nos. 9.1481.2017/4.6, 9.4761.2017/6.7 and Russian Foundation for Basic Research grants Nos. 18-07-01397-a, 18-57-00015-Bel_a.

Author information

Authors and Affiliations

  1. Research and Education Center “Materials”, Don State Technical University, Rostov-on-Don, Russia

    Vladimir B. Zelentsov, Boris I. Mitrin, Igor A. Lubyagin & Sergei M. Aizikovich

Authors
  1. Vladimir B. Zelentsov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Boris I. Mitrin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Igor A. Lubyagin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Sergei M. Aizikovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Boris I. Mitrin .

Editor information

Editors and Affiliations

  1. I. I. Vorovich Mathematics, Mechanics and Computer Sciences Institute, Southern Federal University, Rostov-on-Don, Russia

    Ivan A. Parinov

  2. Department of Microelectronics Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan

    Shun-Hsyung Chang

  3. Mechanical Engineering Department, Korea Maritime and Ocean University, Busan, Korea (Republic of)

    Yun-Hae Kim

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zelentsov, V.B., Mitrin, B.I., Lubyagin, I.A., Aizikovich, S.M. (2019). Thermoelastic Instability in Coupled Thermoelastic Sliding Wear Problem. In: Parinov, I., Chang, SH., Kim, YH. (eds) Advanced Materials. Springer Proceedings in Physics, vol 224. Springer, Cham. https://doi.org/10.1007/978-3-030-19894-7_29

Download citation

Publish with us

Policies and ethics

Search

Navigation