Abstract
We consider the one-dimensional frictional contact problem of thermoelasticity for two layers. One of the layers has a mass and slides along the surface of the other one. We assume that the friction and wear coefficients depend on temperature, propose an iterative scheme of solution, and investigate contact characteristics.
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REFERENCES
V. M. Aleksandrov and G. K. Annakulova, "Interaction of the coatings of bodies with regard for deformability, wear, and heat release due to friction," Trenie Iznos, 13, No. 1, 154-160 (1992).
A. F. Verlan' and V. S. Sizikov, Integral Equations: Methods, Algorithms, and Codes [in Russian], Naukova Dumka, Kiev (1986).
I. G. Goryacheva and M. N. Dobychin, Contact Problems in Tribology [in Russian], Mashinostroenie, Moscow (1988).
D. V. Hrylits'kyi, Thermoelastic Contact Problems in Tribology: Textbook [in Ukrainian], Institute of Content and Methods of Teaching of the Ministry of Education of Ukraine, Kiev (1996).
O. O. Evtushenko and Yu. O. Pyr'ev, "Calculation of contact temperature and wear during braking," Mat. Metody Fiz.-Mekh. Polya, 40, No. 3, 108-112 (1997).
A. D. Kovalenko, Thermoelasticity [in Russian], Vyshcha Shkola, Kiev (1975).
V. S. Martynenko, Operational Calculus [in Russian], Vyshcha Shkola, Kiev (1973).
Yu. O. Pyr'ev, "A dynamic model of thermoelastic contact under conditions of frictional heating and limitation of thermal expansion," Trenie i Iznos, 15, No. 6, 941-948 (1994).
Yu. O. Pyr'ev, "Some problems of thermoelastic instability in mobile tribosystems," in: The 4th International Symp. of Ukrainian Engineers-Mechanicians in Lviv (May 19-21, 1999): Abstracts of Papers [in Ukrainian], Kinpatri LTD, Lviv (1999), pp. 135-136.
A. V. Chichinadze, É. D. Braun, A. G. Ginzburg, and Z. V. Ignat'eva, Calculation, Testing, and Selection of Friction Couples [in Russian], Nauka, Moscow (1979).
Z. S. Olesiak and Y. Pyryev, "A model of thermoelastic dynamic contact in conditions of frictional heat and wear," J. Theor. Appl. Mech., 36, No. 2, 305-320 (1998).
12. Z. S. Olesiak and Y. Pyryev, "On dynamical thermoelastic contact of two solids with heat of friction generation and wear," in: Thermal Stresses 99: The Third International Cong. on Thermal Stresses (June 13-17, 1999, Kraków, Poland) (1999), pp. 599-602.
Z. Olesiak, Y. Pyryev, and A. Yevtushenko, "Determination of temperature and wear during braking," Wear, 210, No. 1/2, 120-126 (1997).
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Pyr'ev, Y.O. Investigation of the Contact Interaction between Two Layers with Regard for the Temperature Dependence of Friction and Wear Coefficients. Journal of Mathematical Sciences 109, 1257–1265 (2002). https://doi.org/10.1023/A:1013705013459
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DOI: https://doi.org/10.1023/A:1013705013459