Abstract
We analyze the specifics of applying the method of generalized coupling problems to determine and study the temperature fields and the stresses they cause in piecewise-homogeneous bodies under nonideal thermomechanical contact at the interfaces.
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Literature Cited
B. M. Aleksandrov and G. K. Annakulova, “The contact problem of thermoelasticity taking account of wear and frictional heat emission,”Tren. Iznos,11, No. 1, 24–28 (1990).
K. V. Vishnevskii and R. M. Kushnir, “Boundary integral equations for a body with inhomogeneous inclusions,”Mat. Met. Fiz.-Mekh. Polya,39, No. 1, 37–41 (1996).
D. V. Hrylits'kyi,Thermoelastic Contact Problems in Tribology A Textbook [in Ukrainian], Ukrainian Ministry of Education Institute for Content and Methods of Teaching, Kiev (1996).
D. V. Hrylits'kyi and O. O. Evtushenko, “Contact problems of thermoelasticity taking account of heat production,”Mat. Met. Fiz.-Mekh. Polya, No. 35, 93–100 (1992).
Yu. M. Kolyano, O. M. Kulyk, and R. M. Kushnir, “On the statement of the generalized coupling problem for the equations of thermoelasticity of piecewise-homogeneous bodies,”Dop. Akad. Nauk Ukr. RSR, Ser. A, No. 2, 43–47 (1980).
Yu. M. Kolyano, R. M. Kushnir, and Yu. A. Muzychuk, “Thermal stresses in laminated bodies under nonideal thermomechanical contact on the interfaces,”Prikl. Mekh.,22, No. 11, 28–36 (1986).
A. A. Kryshtafovych and R. M. Martynyak, “On the contact interaction of different anisotropic half-planes in the presence of thermally impenetrable gaps on the interface,”Mat. Met. Fiz.-Mekh. Polya,40, No. 1, 117–124 (1997).
R. M. Kushnir, “On the solution of thermoelastic problems for piecewise-homogeneous bodies applying distributions,” in:Proceedings of the Ninth Conference of Young Scholars of the Ukrainian Academy of Sciences Institute for Applied Problems of Mathematics and Mechanics, L'vov (1983). Pt. 1, pp. 109–113.
R. M. Kushnir, “On the construction of solutions of ordinary linear differential equations with piecewiseconstant coefficients,”Dop. Akad. Nauk Ukr. RSR, Ser. A, No. 9, 54–57 (1980).
V. P. Levitskii, I. T. Yas'kevich, and V. M. Onyshkevich, “Thermal effects in contact problems of thermoelasticity,”Tren. Iznos,15, No. 3, 358–365 (1994).
Ya. S. Pidstryhach,Selected Works [in Ukrainian], Naukova Dumka, Kiev (1995).
Ya. S. Podstrigach, V. A. Lomakin, and Yu. M. Kolyano,Thermoelasticity of Bodies of Inhomogeneous Structure [in Russian], Nauka, Moscow (1984).
G. T. Sulim, “The mathematical theory of thin inhomogeneities in a thermostressed medium,” in:Mixed Problems of the Mechanics of Inhomogeneous Structures: Proceedings of the First Ukrainian-Polish Seminar, Svit, L'viv (1997), pp. 88–93.
R. N. Shvets and R. M. Martynyak, “The thermoelastic contact interaction of bodies in the presence of surface thermophysical inhomogeneities,”Mat. Met. Fiz.-Mekh. Polya, No. 27, 23–28 (1988).
J. R. Barber and M. Comminou, “Thermoelastic contact problems,” in:Thermal Stresses. III, Elsevier, Amsterdam (1988), pp. 1–106.
R. M. Kushnir, “Thermoelasticity of piecewise-homogeneous structures: a method of investigation utilizing the distribution technique,” in:Thermal Stresses '97: Proceedings of the Second International Symposium on Thermal Stresses and Related Topics, Rochester Institute of Technology (1997), pp. 557–560.
F. F. Ling,Surface Mechanics, Wiley, New York (1973).
S. J. Matysiak and Cz. Wozniak, “On the modeling of heat-conduction problems in laminated bodies,”Acta Mech.,65, 223–238 (1986).
A. Papoulis, “A new method of inversion of the Laplace transform,”Quart. Appl. Math.,14, No. 4, 405–414 (1957).
A. A. Yevtushenko and O. M. Ukhanskaya, “Nonstationary frictional heating in sliding compressible elastic bodies,J. Appl. Math. Mech.,56, No. 1, 95–101 (1992).
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Translated fromMatematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 41, No. 1, 1998, pp. 108–116.
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Kushnir, R.M. Application of the method of generalized coupling problems in the thermoelasticity of piecewise-homogeneous bodies under nonideal contact. J Math Sci 97, 3854–3861 (1999). https://doi.org/10.1007/BF02364925
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DOI: https://doi.org/10.1007/BF02364925