Instability of sliding contact with coating on elastic substrate under friction and frictional heating
https://doi.org/10.12737/22148
Abstract
A nonstationary dynamic contact thermoelasticity problem on sliding with friction and frictional heating of the rigid half-elastic coating surface bonded to an elastic substrate made of another material is considered. The solution to the formulated initial boundary value problem is obtained in the form of contour integrals of the inverse Laplace transform. The investigation of the isolated singularities of the subintegral functions in the complex plane of the integration variable is carried out, and then the problem solution is constructed in the form of infinite series over the poles of integrands with the addition of the integrals over the banks of cut. Boundaries of the stable and unstable problem solutions are determined on its dimensionless parameter set. The influence of the compliance of the substrate on the instability boundary, and also on the development of temperature and pressure at the thermoelastic frictional sliding contact is investigated.
About the Authors
Vladimir B. Zelentsov
Don State Technical University
Russian Federation
Russian Federation
Boris I. Mitrin
Don State Technical University
Russian Federation
Russian Federation
Sergey M. Aizikovich
Don State Technical University
Russian Federation
Russian Federation
References
1. Dow, T. A. Burton, R.A. Thermoelastic instability of sliding contact in the absence of wear. Wear, 1972, vol. 19, no. 3, pp. 315–328.
2. Burton, R.A., Nerlikar, V., Kilaparti, S.R. Thermoelastic instability in a seal-like configuration. Wear, 1973, vol. 24, no. 2, pp. 177–188.
3. Barber, J. R. Stability of Thermoelastic Contact for the Aldo Model. J. Appl. Mech., 1981, vol. 48, no. 3, pp. 555–558.
4. Morov, V.A., Cherskiy, I.N. Termouprugaya neustoychivost' friktsionnogo kontakta shtampov s poluprostranstvom. [Thermoelastic instability of frictional contact between dies and half-space.] Journal of Friction and Wear, 1985, vol. 6, no. 1, pp. 27–38 (in Russian).
5. Ciavarella, M., et al. Interaction of thermal contact resistance and frictional heating in thermoelastic instability. Int. J. Solids Struct, 2003, vol. 40, no. 21, pp. 5583–5597.
6. Afferrante, L., Ciavarella, M., Barber, J. R.Sliding thermoelastodynamic instability. Proc. R. Soc. A Math. Phys. Eng. Sci., 2006, vol. 462, no. 2071, pp. 2161–2176.
7. Afferrante, L ., Ciavarella, M. A note on thermoelastodynamic instability (TEDI) for a 1D elastic layer: Force control. Int. J. Solids Struct., 2007, vol. 44, no. 5, pp. 1380–1390.
8. Mao, J.-J., Ke, L.-L., Wang, Y.-S. Thermoelastic contact instability of a functionally graded layer and a homogeneous half-plane. Int. J. Solids Struct., 2014, vol. 51, no. 23–24, pp. 3962–3972.
9. Yi, Y.-B,. Bendawi, A. Effect of convective cooling on frictionally excited thermoelastic instability . Wear, 2012, vol. 296, no. 1–2, pp. 583–589.
10. Yi, Y.-B., et al. Finite element analysis of thermoelastic instability in intermittent sliding contact. J. Therm. Stress, 2014, vol. 37, no. 7, pp. 870–883.
11. Slonovskiy, N.V. O termouprugoy ustoychivosti pri trenii skol'zheniya. [On thermoelastic stability under sliding friction.] Journal of Applied Mathematics and Mechanics, 1969, vol. 33, no. 1, pp. 117–121 (in Russian).
12. Pyryev, Y.A., Mandzik, Y.I. Analiz ustoychivosti termouprugogo kontakta v tribosisteme tipa radial'nykh uplotneniy tsilindra. [An analysis of thermoelastic contact stability of a cylinder radial seal.] Journal of Friction and Wear, 1996, vol. 17, no. 5, pp. 621–628 (in Russian).
13. Yevtushenko, А.А., Pyryev, Y.A. Vliyanie iznashivaniya na razvitie termouprugoy neustoychivosti friktsionnogo kontakta. [Effect of wear on the development of thermoelastic instability of frictional contact.] Izvestia: Mechanics of Solids, 1997, no. 1, pp. 114–121 (in Russian).
14. Zelentsov, V.B., et al. Termouprugodinamicheskaya neustoychivost' resheniya kontaktnoy zadachi dlya pokrytiya s uchetom teplovydeleniya ot treniya [Thermoelastodynamic instability of contact problem solution for coating considering frictional heat generation.] Vestnik of DSTU, 2014, vol. 14, no. 4, pp. 17–29 (in Russian).
15. Zelentsov, V. B., et al. Instability of solution of the dynamic sliding frictional contact problem of coupled thermoelasticity. Mater. Phys. Mech., 2015, vol. 23, pp. 14–19.
16. Zelentsov, V.B., et al. Neustoychivost' skol'zyashchego termofriktsionnogo kontakta zhestkogo tela s uprugim pokrytiem, soderzhashchim p'yezokeramicheskuyu prosloyku. [Instability of Sliding Thermoelastic Contact of a Rigid Body with an Elastic Coating Containing a Piezoceramic Interlayer.] Izvestiya vuzov. Severo- Kavkazskiy region. Natural Sciences, 2015, no. 4, pp. 52–60 (in Russian).
17. Zelentsov, V.B, Mitrin, B.I., Aizikovich, S.M. Dinamicheskaya i kvazistaticheskaya neustoychivost' skol'zyashchego termofriktsionnogo kontakta. [Dynamic and Quasi-Static Instability of Sliding Thermoelastic Frictional Contact.] Journal of Friction and Wear, 2016, vol. 37, no. 3, pp. 280–289 (in Russian).
18. Novatskiy, V. Voprosy termouprugosti. [Issues of thermoelasticity.] Moscow: Izd-vo AN SSSR, 1962, 363 p. (in Russian).
19. Ditkin, V.A., Prudnikov, A.P. Integral'nye preobrazovaniya i operatsionnye ischisleniya. [Integral transformations and operational calculus.] Moscow: Fizmatlit, 1961, 524 p. (in Russian).
20. Vilenkin, N.Y., et al. Krein, S,G., ed. Funktsional'nyy analiz. [Functional analysis.] Moscow: Nauka, 1964, 425 p. (in Russian).
21. Brychkov, Y.A., Prudnikov, A.P. Integral'nye preobrazovaniya obobshchennykh funktsiy. [ Integral transformations of generalized functions.] Moscow: Nauka, 1977, 288 p. (in Russian).
22. Tikhonov, A.N., Samarskiy, A.A. Uravneniya matematicheskoy fiziki. [Equations of mathematical physics.] Moscow: Nauka, 1977, 735 p. (in Russian).
Review
For citations:
Zelentsov V.B., Mitrin B.I., Aizikovich S.M. Instability of sliding contact with coating on elastic substrate under friction and frictional heating. Vestnik of Don State Technical University. 2016;16(4):5-16. (In Russ.) https://doi.org/10.12737/22148
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