 | | 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
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 41, Issue 6 / 2006 | Next article >> |
| V. M. Alexandrov and D. I. Zarubov, "Stability of an infinite plate in longitudinal compression on an incompressible elastic half-space prestressed by gravity," Mech. Solids. 41 (6), 48-56 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
6 |
Pages |
48-56 |
| Title |
Stability of an infinite plate in longitudinal compression on an incompressible elastic half-space prestressed by gravity |
| Author(s) |
V. M. Alexandrov (Moscow)
D. I. Zarubov (Moscow) |
| Abstract |
In the 2D, axisymmetric, and 3D settings, we study the stability problem
for an infinite plate under longitudinal compressive forces and in
two-sided contact with an elastic incompressible half-space prestressed by
gravity. We consider the following two cases of two-sided contact between
the plate and the surface of the half-space: full adhesion and frictionless
slip. The results can be used in performance analysis of coated bodies and
layered composites as well as in problems of geophysics.
Earlier, the stability problem for an infinite plate in longitudinal
compression and cylindrical bending in two-sided contact with an elastic
base was studied in [1] (the Fuss-Winkler base) and [2] (a compressible
elastic layer fixed along the base). |
| References |
| 1. | Yu. N. Rabotnov, Mechanics of Solids [in Russian],
Nauka, Moscow, 1979. |
| 2. | V. M. Alexandrov,
"Stability of a coating-substrate system
under longitudinal compression of the coating,"
Izv. RAN. MTT [Mechanics of Solids], No. 4, pp. 76-79, 2001. |
| 3. | V. M. Alexandrov and L. M. Filippova, "Contact problem for a heavy
half-plane," PMM [Applied Mathematics and Mechanics], Vol. 44, No. 3,
pp. 535-539, 1980. |
| 4. | A. I. Lur'e, Elasticity [in Russian], Nauka, Moscow, 1970. |
| 5. | E. V. Kovalenko,
"On the contact between a solid
and an elastic half-space through a thin coating,"
PMM [Applied Mathematics and Mechanics], Vol. 63, No. 1,
pp. 119-127, 1999. |
| 6. | V. M. Alexandrov and S. M. Mkhitaryan, Contact Problems for Bodies
with Thin Coatings and Interlayers [in Russian], Nauka, Moscow, 1983. |
| 7. | V. I. Avilkin, V. M. Alexandrov, and E. V. Kovalenko, "On the use
of refined equations of thin coverings in the theory of axisymmetric
contact problems for compound bases," PMM [Applied Mathematics and
Mechanics], Vol. 49, No. 6, pp. 1010-1018, 1985. |
|
| Received |
10 April 2006 |
| << Previous article | Volume 41, Issue 6 / 2006 | Next article >> |
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