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IssuesArchive of Issues2001-4pp.60-63

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V. M. Alexandrov, "Stability of a coating-substrate system under longitudinal compression of the coating," Mech. Solids. 36 (4), 60-63 (2001)
Year 2001 Volume 36 Number 4 Pages 60-63
Title Stability of a coating-substrate system under longitudinal compression of the coating
Author(s) V. M. Alexandrov (Moscow)
Abstract The problem of stability is analyzed for an infinite plate (coating) subjected to a longitudinal force in the conditions of cylindrical bending. The plate has bilateral contact with an elastic layer (substrate) whose base is fixed. The preliminary deformation of this structure under the longitudinal force smaller than the critical one is not taken into account. It is established that as the properties of the material approach those of an incompressible material, the critical force becomes considerably smaller than that calculated by replacing the elastic layer by the equivalent Fuss-Winkler foundation. The results can be used for the analysis of properties of coated bodies and laminated composites, as well as in geophysics.

Previously, the problem of stability for an infinite plate subjected to cylindrical bending and having bilateral contact with the Fuss-Winkler foundation was considered, for example, in [1].
References
1.  Yu. N. Rabotnov, Mechanics of Solids [in Russian], Nauka, Moscow, 1979.
2.  V. M. Alexandrov and S. M. Mkhitaryan, Contact Problems for Bodies with Thin Coatings and Interlayers [in Russian], Nauka, Moscow, 1983.
3.  I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko, Nonclassical Mixed Problems of Elasticity [in Russian], Nauka, Moscow, 1974.
Received 21 June 1999
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