Abstract
We investigate the motion of a periodic system of rigid, isolated, parabolic dies along the surface of a half-space. The action of friction forces results in heat generation in the contact region. We assume that the surfaces of the dies are thermally insulated and the half-space is a heat conductor. We reduce the problem under consideration to a set of two integral equations for the contact temperature and pressure. We solve these equations numerically and investigate the influence of thermal deformation on the distributions of temperature and pressure and on the dimensions of the contact region.
Similar content being viewed by others
REFERENCES
S. M. Belotserkovskii and I. K. Lifanov, Numerical Methods in Singular Integral Equations and Their Application in Aerodynamics, Elasticity Theory, and Electrodynamics [in Russian], Nauka, Moscow (1985).
L. A. Galin, Contact Problems of Elasticity Theory and Viscoelasticity [in Russian], Nauka, Moscow (1980).
D. V. Hrylits'kyi and B. I. Popovych, Plane Contact Problems of Thermoelasticity [in Ukrainian], Vyshcha Shkola, Lviv (1973).
O. O. Evtushenko, V. I. Pauk, and O. M. Ukhans'ka, "The set of integral equations of a contact problem of thermoelasticity with regard for quasistationary heat generation due to friction," Dopov. Akad. Nauk Ukrainy, No. 10, 61-65 (1992).
I. Ya. Shtaerman, A Contact Problem of Elasticity Theory [in Russian], Gostekhizdat, Moscow (1949).
J. R. Barber, "Some thermoelastic contact problems involving frictional heating," J. Mech. Appl. Math., 29, No. 1, 1-13 (1976).
J. R. Barber, "Some implications of Dundur's theorem for thermoelastic contact and crack problems," Int. J. Mech. Sci., 22, No. 5, 229-232 (1980).
J. R. Barber, "Stability of thermoelastic contact," in: International Conf. on Tribology, Inst. Mech. Eng., London (1987), pp. 981-986.
R. A. Burton and V. Nerlikar, "Large disturbance solutions for initially flat, frictionally heated thermoelastically deformed surfaces," Trans. ASME. J. Lubr. Technol., 97, No. 2, 546-551 (1975).
V. J. Pauk, "Plane contact problem involving heat generation and radiation," J. Theor. Appl. Mech., 32, No. 4, 829-839 (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Evtushenko, O.O., Pauk, V.I. Steady-State Frictional Heat Generation on a Periodic Sliding Contact. Journal of Mathematical Sciences 109, 1266–1272 (2002). https://doi.org/10.1023/A:1013757030298
Issue Date:
DOI: https://doi.org/10.1023/A:1013757030298