We propose a method for the solution of a system of nonlinear singular integrodifferential equations of the contact thermoelastic problem of delamination of half spaces in the presence of a heat-conducting filler in the gap formed between the half spaces. The effect of heat conduction in the medium filling the gap on the contact parameters of the analyzed structure is investigated. It is shown that the solution of the posed problem can be not unique for some values of the thermal load and the heat-conduction coefficient of the filler.
Similar content being viewed by others
References
K. L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge (1985).
J. R. Barber, “The effect of thermal distortion on constriction resistance,” Int. J. Heat Mass Transfer, 14, 751–766 (1971).
M. Comninou and J. Dundurs, “On lack of uniqueness in heat conduction through a solid to solid contact,” Trans. ASME: J. Heat Transfer, 102, No. 2, 156–162 (1980).
J. Dundurs and C. Panek, “Heat conduction between bodies with wavy surfaces,” Int. J. Heat Mass Transfer, 19, 731–736 (1976).
R. N. Shvets and R. M. Martynyak, “Thermoelastic contact interaction of bodies in the presence of thermal surface inhomogeneities,” Mat. Met. Fiz.-Mekh. Polya, 27, 23–28 (1988).
R. M. Martynyak, “Thermal opening of an initially closed interface crack under conditions of imperfect thermal contact between its lips,” Mater. Sci., 35, No. 5, 612–622 (1999).
R. M. Martynyak and K. A. Chumak, “Thermoelastic contact of half spaces with identical thermal distortivities in the presence of a heat-conducting interface gap,” Mat. Met. Fiz.-Mekh. Polya, 51, No. 3, 163–175 (2008).
R. M. Martynyak and K. A. Chumak, “Incomplete contact of half spaces under the action of a heat flow directed into the material with lower thermal distortivity,” Teor. Prikl. Mekh., Issue 43, 9–15 (2007).
K. A. Chumak and R. M. Martynyak, “Influence of the heat conduction of the filler of the intercontact gap on the thermoelastic interaction of the bodies,” Fiz.-Mat. Mod. Inform. Tekhnol., No. 9, 160–169 (2009).
Yu. P. Shlykov, E. A. Ganin, and S. N. Tsarevskii, Contact Thermal Resistance [in Russian], Energiya, Moscow (1977).
Ya. S. Podstrigach, “Conditions of thermal contact of solid bodies,” Dokl. Akad. Nauk Ukr. SSR. Ser. A, No. 7, 872–874 (1963).
R. M. Martynyak, “Mechanothermodiffusion interaction of bodies with regard for the filler of intercontact gaps,” Mater. Sci., 36, No. 2, 300–304 (2000).
G. S. Kit and M. G. Krivtsun, Plane Problems of Thermoelasticity for Cracked Bodies [in Russian], Naukova Dumka, Kiev (1983).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 45, No. 4, pp. 45–52, July–August, 2009.
Rights and permissions
About this article
Cite this article
Martynyak, R.M., Chumak, K.A. Thermoelastic delamination of bodies in the presence of a heat-conducting filler of the intercontact gap. Mater Sci 45, 513–522 (2009). https://doi.org/10.1007/s11003-010-9209-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11003-010-9209-0