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IssuesArchive of Issues2017-4pp.444-451

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K.E. Kazakov and A.V. Manzhirov, "Axisymmetric Contact between an Annular Rough Punch and a Surface Nonuniform Foundation," Mech. Solids. 52 (4), 444-451 (2017)
Year 2017 Volume 52 Number 4 Pages 444-451
DOI 10.3103/S0025654417040112
Title Axisymmetric Contact between an Annular Rough Punch and a Surface Nonuniform Foundation
Author(s) K.E. Kazakov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, kazakov-ke@yandex.ru)
A.V. Manzhirov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow, 115409 Russia; Moscow Technological University, pr. Vernadskogo 78, Moscow, 119454 Russia)
Abstract The axisymmetric contact problem of interaction between a two-layer foundation and a rigid annular punch is considered under the assumption that the surface nonuniformity of the upper layer and the shape of the punch base are described by rapidly varying functions. The integral equation of the problem containing two rapidly varying functions is derived, and two versions of the problem are considered. Their solutions were first constructed by the generalized projection method. As an illustration, the model problem is analyzed numerically to demonstrate the high efficiency of the method.
Keywords contact problem, rapidly varying functions, integral equation, projection method
References
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7.  K. E. Kazakov and A. V. Manzhirov, "Conformal Contact between Layered Foundations and Punches," Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 227-240 (2008) [Mech. Solids (Engl. Transl.) 43 (3), 512-524 (2008)].
8.  A. V. Manzhirov and K. E. Kazakov, "Contact Problem for a Foundation with a Rough Coating," Lect. Notes Eng. Comput. Sci. 2224, 877-882 (2016).
9.  A. V. Manzhirov, "A Mixed Integral Equation of Mechanics and a Generalized Projection Method of Its Solution," Dokl. Ross. Akad. Nauk 470 (4), 401-405 (2016) [Dokl. Phys. (Engl. Transl.) 61 (10), 489-493 (2016)].
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Received 14 April 2017
Link to Fulltext https://link.springer.com/article/10.3103/S0025654417040112
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