We study the problem of contact of two elastic half spaces made of identical materials one of which contains a subsurface inclusion that differ from the matrix solely by the coefficient of linear thermal expansion. The bodies are subjected to the simultaneous action of compressive forces and heating. The stress-strain state of the bodies is represented via the height of the gap and the relative shift of the surfaces in the zones of sliding. A system of two singular integral equations is obtained to determine these characteristics. One of these equations is solved analytically and the second equation is solved numerically. The dependences of the widths of the gap and the zone of sliding and contact stresses on the applied load are analyzed.
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References
K. L. Johnson, Contact Mechanics, Cambridge Univ. Press, Cambridge (1985).
V. V. Panasyuk, O. P. Datsyshyn, and R. B. Shchur, “Residual durability of solids contacting under the conditions of fretting fatigue,” Fiz.-Khim. Mekh. Mater., 36, No. 2, 5–19 (2000); English translation : Mater. Sci., 36, No. 2, 153–169 (2000).
O. P. Datsyshyn and V. M. Kadyra, “A fracture mechanics approach to prediction of pitting under fretting fatigue conditions,” Int. J. Fatigue, 28, No. 4, 375–385 (2006).
O. P. Datsyshyn and V. M. Kadyra, “Propagation of boundary cracks during the fretting fatigue under conditions of cohesion/sliding in contact between the bodies,” Mashynoznavstvo, No. 3, 9–15 (2006).
V. N. Grinchenko and A. F. Ulitko, “The role of loading history in taking into account the action of friction forces in the contact zone in the mechanics of contact interaction,” Izv. Ros. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 16–25 (2002).
V. I. Ostrik and A. F. Ulitko, The Wiener–Hopf Method in Contact Problems of the Theory of Elasticity [in Russian], Naukova Dumka, Kiev (2006).
N. Malanchuk and R. Martynyak, “Contact interaction of two solids with surface groove under proportional loading,” Int. J. Solids Struct., 49, Nos. 23–24, 3422–3431 (2012).
N. Malanchuk, R. Martynyak, and B. Monastyrskyy, “Thermally induced local sliding of contacting solids in the vicinity of surface groove,” Int. J. Solids Struct., 48, Nos. 11–12, 1791–1797 (2011).
B. S. Slobodyan, N. I. Malanchuk, R. M. Martynyak, B. A. Lyashenko, and V. A. Marchuk, “Local sliding of elastic bodies in the presence of gas in the intercontact gap,” Fiz.-Khim. Mekh. Mater., 50, No. 2, 91–96 (2014); English translation : Mater. Sci., 50, No. 2, 261–268 (2014).
K. Chumak, N. Malanchuk, and R. Martynyak, “Partial sliding contact problem for solids with regular surface texture assuming thermal insulation or thermal permeability of interface gaps,” Int. J. Mech. Sci., 84, 138–146 (2014).
I. G. Goryacheva, N. I. Malanchuk, and R. M. Martynyak, “Contact interaction of bodies with a periodic relief during partial sliding,” J. Appl. Math. Mech., 76 (5), 621–630 (2012).
N. I. Malanchuk, “Sliding of bodies in the vicinity of delamination under the action of concentrated subsurface forces,” Mat. Met. Fiz.-Mekh. Polya, 50, No. 4, 173–180 (2007).
M. L. Cook and C. A. Underwood, “Fracture termination and step-over at bedding interfaces due to frictional sliding and interface opening,” J. Struct. Geology, 23, 223–238 (2001).
A. V. Dyskin and A. N. Galybin, “Solutions for dilating shear cracks in elastic plane,” Int. J. Fract., 109, 325–344 (2001).
R. V. Goldstein and N. M. Osipenko, “Fracture initiation on the contact under shear,” in: Proc. of the 19th Europ. Conf. on Fracture, CD: Paper 399, ISBN 978-5-905576-18-8, Kazan (2012).
A. A. Krishtafovich and R. M. Martynyak, “Lamination of anisotropic half spaces in the presence of contact thermal resistance,” Int. Appl. Mech., 35, No. 2, 159–164 (1999).
R. M. Martynyak, “Violation of contact of the half spaces under the thermomechanical action of subsurface inclusions,” Dop. Nats. Akad. Nauk Ukr., No. 12, 71–77 (1998).
N. I. Muskhelishvili, Singular Integral Equations, Dover, New York (2008).
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 52, No. 6, pp. 69–74, November–December, 2016.
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Malanchuk, N.I., Slobodyan, B.S. & Martynyak, R.M. Friction Sliding of Elastic Bodies in the Presence of Subsurface Inclusions. Mater Sci 52, 819–826 (2017). https://doi.org/10.1007/s11003-017-0026-6
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DOI: https://doi.org/10.1007/s11003-017-0026-6