Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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IssuesArchive of Issues2010-6pp.778-788

Archive of Issues

Total articles in the database: 9198
In Russian (»Á‚. –ņÕ. Ő““): 6504
In English (Mech. Solids): 2694

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Yu.I. Vikulina, M.A. Grekov, and S.A. Kostyrko, "Model of Film Coating with Weakly Curved Surface," Mech. Solids. 45 (6), 778-788 (2010)
Year 2010 Volume 45 Number 6 Pages 778-788
DOI 10.3103/S0025654410060038
Title Model of Film Coating with Weakly Curved Surface
Author(s) Yu.I. Vikulina (Saint-Petersburg State University, Universitetskiy pr-t 35, Petergof, St.†Petersburg, 198504 Russia,
M.A. Grekov (Saint-Petersburg State University, Universitetskiy pr-t 35, Petergof, St.†Petersburg, 198504 Russia,
S.A. Kostyrko (Saint-Petersburg State University, Universitetskiy pr-t 35, Petergof, St.†Petersburg, 198504 Russia,
Abstract We use the perturbation method to construct a solution of the plane problem of elasticity for a film-foundation composite where the film surface is weakly curved. In the case where the film surface has a periodic shape, the problem solution in each approximation is represented in terms of Fourier series with coefficients expressed in terms of quadrature. In the first approximation, we obtain the stresses on the film surface and on the interphase surface in terms of the surface curvature, the film average thickness, and the film-to-foundation Young's modulus ratio.
Keywords film coating, curved surface, stress concentration
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5.  M. A. Grekov, "Weakly Curved Crack near the Boundary of Junction of Two Different Materials," Vestnik St. Petersburg. Univ. Ser. 1, No. 1, 93-100 (2008).
6.  M. A. Grekov and N. F. Morozov, "Some Modern Methods in Mechanics of Cracks," in Operator Theory: Advances and Applications, Vol. 191: Modern Analysis and Applications. Ed. by V. Adanyan et al. (Birkhäuser, Basel, 2009), pp. 127-142.
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9.  M. A. Grekov, Singular Plane Problem of Elasticity (Izd-vo St. Petersburg Univ., St.Petersburg, 2001) [in Russian].
10.  M. A. Grekov and S. A. Kostyrko, "Stressed State of Thin Coating under the Action of a Periodic System of Surface Concentrated Forces," Vestnik St. Peterburg. Univ. Ser. 10, No. 4, 99-107 (2004).
11.  A. M. Lin'kov, Complex Method of Boundary Integral Equations in Elasticity (Nauka, St. Petersburg, 1999) [in Russian].
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14.  H. Gao, "Stress Concentration at Slightly Undulating Surfaces," J. Mech. Phys. Solids 39 (4), 443-458 (1991).
Received 30 July 2010
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