 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
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| V. M. Alexandrov and D. I. Zarubov, "On the stability of a plate under longitudinal compression on a two-layer half-space with lower layer prestressed by gravity forces," Mech. Solids. 43 (3), 487-493 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
3 |
Pages |
487-493 |
| DOI |
10.3103/S0025654408030199 |
| Title |
On the stability of a plate under longitudinal compression on a two-layer half-space with lower layer prestressed by gravity forces |
| Author(s) |
V. M. Alexandrov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, alexand@ipmnet.ru)
D. I. Zarubov (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia) |
| Abstract |
In the plane (plane strain) and axially symmetric statements, we study the problem of stability, under the action of longitudinal compressing forces, of an infinite elastic plate in two-sided contact with an elastic half-space. The upper layer of finite depth is described by the usual equations of linear theory of elasticity; the lower layer, which is geometrically nonlinear, incompressible, and infinite in depth, is prestressed by gravity forces. The total adhesion between the layer of finite depth and the lower half-space is realized. It is also assumed that the same adhesion takes place between the upper layer of the half-space and the plate with the contact tangential stresses taken into account.
The results can be used to calculate the working capacity of coated bodies and layered composites and in problems of geophysics.
The problem of stability of an infinite elastic plate under longitudinal compression under conditions of two-sided contact with an elastic base was studied earlier in the monograph [1] (Fuss-Winkler base) and in [2-4]. |
| Received |
03 April 2007 |
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