Abstract
The boundary conditions in the contact of an abrasive wheel with a rubber coating and also in the contact of a single grain with rubber are investigated. The influence of the grain geometry of the normal and tangential stress in the contact zone with the rubber is analyzed. By numerical simulation of the work of a single grain, contact-stress curves may be plotted for the machining zone. An analytical formula is derived for the machining force when the wheel is held steadily against the workpiece.
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References
Alexandrov, V.M. and Pozharsky, D.A., Tree-Dimensional Contact Problems, Dordrecht: Kluwer, 2001.
Anderson, T. and Alan-Persson, B.G., The boundary element method applied to two-dimensional contact problems, in Progress in Boundary Element Methods, London: Springer-Verlag, 1983, vol. 2, chap. 5, pp. 136–137.
Klishchenko, V.P., Andrakhimov, Yu.R., and Vadulina, N.V., The destruction of the rubber at different mechanical treatment, Neftegaz. Delo, 2013, no. 2, pp. 419–429.
Galin, L.A., Kontaktnye zadachi teorii uprugosti i vyazkouprugosti (Contact Task in the Theory of Elasticity and Viscoelasticity), Moscow: Nauka, 1980.
Shtaerman, I.Ya., Kontaktnaya zadacha teorii uprugosti (Contact Task of the Elasticity Theory), Moscow: Gos. Izd. Tekh.-Teor. Lit., 1949.
Aleksandrov, A.I. and Grabko, E.V., Solution of contact task on the indentation of rectangular punch into the elastic rough half-plain in the presence of Coulomb friction, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki, 2014, no. 4 (37), pp. 42–52.
Amirdzhanyan, A.A. and Saakyan, A.V., The indentation of Π-shaped rigid punch into an elastic half-plane taking into account the forces of sliding and adhesion, Izv. Nats. Akad. Nauk Arm., Mekh., 2013, no. 3 (66), pp. 3–11.
Mossakovskaya, L.V., Flat punch with friction and adhesion affected by combined load, Tr. mezhdunar. nauchno-prakt. konf. “Sovremennye napravleniya teoreticheskikh i prikladnykh issledovanii” (Proc. Int. Sci.-Pract. Conf. “Advanced Theoretical and Applied Studies”), Odessa: Kuprienko, 2012, vol. 10, no. 1, pp. 55–65.
Khanov, A.M., Sirotenko, L.D., Shingel’, L.P., Matygullina, E.V., and Trofimov, E.O., Contact interaction in the abrasive machining of rubber coatings, Russ. Eng. Res., 2016, vol. 36, no. 8, pp. 696–699.
Demidov, S.P., Teoriya uprugosti (The Theory of Elasticity), Moscow: Vysshaya Shkola, 1979.
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Original Russian Text © A.M. Khanov, L.D. Sirotenko, L.P. Shingel’, E.V. Matygullina, E.O. Trofimov, A.A. Drozdov, 2016, published in STIN, 2016, No. 8, pp. 23–27.
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Khanov, A.M., Sirotenko, L.D., Shingel’, L.P. et al. Influence of the boundary conditions on the forces in the abrasive machining of rubber. Russ. Engin. Res. 37, 154–157 (2017). https://doi.org/10.3103/S1068798X17020113
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DOI: https://doi.org/10.3103/S1068798X17020113