 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| I. I. Argatov, "Action of a system of rigid punches shaped as elliptic paraboloids on an elastic half-space," Mech. Solids. 36 (2), 46-56 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
2 |
Pages |
46-56 |
| Title |
Action of a system of rigid punches shaped as elliptic paraboloids on an elastic half-space |
| Author(s) |
I. I. Argatov (St. Petersburg) |
| Abstract |
The nonlinear contact problem for an elastic half-space indented by
several paraboloidal punches without friction is analyzed by using
the method of matching asymptotic expansions. The asymptotics of the
contact stiffness of the system of punches is determined taking
into account the interaction of the punches. The influence of the
arrangement of punches in the system on the parameters of elliptic
contact spots is investigated. The asymptotics of the contact pressure for
a system of two spherical punches is determined in an explicit form. |
| References |
| 1. | G. Fichera, Existence Theorems in Elasticity [Russian
translation], Mir, Moscow, 1974. |
| 2. | G. Duvaut and J.-L. Lions, Inequalities in Mechanics and Physics
[Russian translation], Nauka, Moscow, 1980. |
| 3. | A. I. Lur'e, Theory of Elasticity [in
Russian], Nauka, Moscow, 1970. |
| 4. | N. B. Demkin, Contact of Rough Surfaces [in Russian], Nauka,
Moscow, 1970. |
| 5. | N. M. Mikhin, "Contact of wavy and rough bodies," in M. Khebda
and A. V. Chichinadze (Editors), Handbook on Tribonics. Volume 1.
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Moscow, 1989. |
| 6. | L. A. Galin, Contact Problems of Elasticity and
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| 8. | I. G. Goryacheva and M. N. Dobychin, Contact Problems in Tribology
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punch into an elastic layer and two parabolic punches into an elastic
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1998. |
| 11. | I. G. Goryacheva and E. V. Torskaya, "The periodic contact
problem for a system of punches and an elastic layer bonded to an elastic
base," Trenie i Iznos, Vol. 16, No. 4, pp. 642-652, 1995. |
| 12. | M. D. Van Dyke, Perturbation Methods in Fluid Mechanics [Russian
translation], Mir, Moscow, 1967. |
| 13. | A. M. Il'in, Matching of Asymptotic Expansions for Solutions
of Boundary Value Problems [in Russian], Nauka, Moscow, 1989. |
| 14. | I. I. Argatov and S. A. Nazarov, "Asymptotic solution of the
Signiorini problem with an obstacle on a thin extended set,"
Mat. Sbornik, Vol. 187, No. 10, pp. 3-32,
1996. |
| 15. | I. I. Argatov and S. A. Nazarov, "Asymptotic solution of the
problem of an elastic body lying on several small supports," PMM [Applied
Mathematics and Mechanics], Vol. 58, No. 2, pp. 110-118, 1994. |
| 16. | W. Nowacki, Theory of Elasticity [Russian translation], Mir,
Moscow, 1975. |
| 17. | I. Ya. Shtaerman, Contact Problem of Elasticity [in Russian],
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| 18. | E. Janke, F. Emde, and F. Lösch, Special Functions [Russian
translation], Nauka, Moscow, 1968. |
| 19. | V. I. Dovnorovich, Three-Dimensional Contact Problems of
Elasticity [in Russian], Izd-vo BGU, Minsk, 1959. |
| 20. | V. M. Alexandrov and D. A. Pozharskii, Nonclassical
Three-Dimensional Problems of the Mechanics of Contact Interaction of
Elastic Bodies [in Russian], Faktorial, Moscow, 1998. |
| 21. | A. I. Lur'e, Three-Dimensional Problems of Elasticity [in
Russian], Gostekhizdat, Moscow, 1955. |
| 22. | Ya. S. Uflyand, Integral Transforms in Problems of Elasticity
[in Russian], Nauka, Moscow, 1968. |
|
| Received |
25 December 1998 |
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