 | | 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, "Approximate solution of the axisymmetric hertz problem allowing for tangential displacements on the contact surface," Mech. Solids. 40 (5), 27-33 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
27-33 |
| Title |
Approximate solution of the axisymmetric hertz problem allowing for tangential displacements on the contact surface |
| Author(s) |
I. I. Argatov (St. Petersburg) |
| Abstract |
We consider a one-sided contact problem for two elastic bodies bounded by
paraboloids of revolution. Under simplifying assumptions, this problem is
reduced to a system of two integral equations with nonsymmetric kernels. An
approximate solution of the contact problem allowing for tangential
displacements on the contact surface is obtained in closed form. |
| References |
| 1. | H. Hertz, "Über die Berührung fester elastischer Körper," J.
für die reine und angew. Math., Vol. 92, pp. 156-171, 1882. |
| 2. | A. Love, A Treatise on the Mathematical Theory of Elasticity,
Cambridge, 1892-93. |
| 3. | W. Nowacki, Elasticity Theory, PWN, Warsaw, 1970. |
| 4. | B. A. Galanov, "Statement and solution of some refined problems of
elastic contact of two bodies," Izv. AN SSSR. MTT [Mechanics of Solids],
No. 6, pp. 56-63, 1983. |
| 5. | B. A. Galanov, "On the approximate solution of some problems of
elastic contact of two bodies," Izv. AN SSSR. MTT [Mechanics of Solids],
No. 5, pp. 61-67, 1981. |
| 6. | B. A. Galanov and Yu. M. Krivonos, "Taking into account tangential
displacements on the contact surface in the Hertz problem," in Numerical
and Applied Mathematics [in Russian], No. 53, pp. 87-94, Vishcha Shkola, Kiev, 1984. |
| 7. | I. A. Soldatenkov, The Contact Problem for a Half-Plane in the
Refined Statement (Allowing for Tangential Contact Displacements). Preprint No. 501 [in
Russian], In-t Problem Mekhaniki AN SSSR, Moscow, 1991. |
| 8. | I. A. Soldatenkov, "The contact problem for a half-plane with the
tangential contact displacement taken into account," Izv. AN. MTT
[Mechanics of Solids], No. 4, pp. 51-61, 1994. |
| 9. | A. M. Khludnev and V. A. Kovtunenko, Analysis of Cracks in Solids,
WIT-Press, Boston, 1999. |
| 10. | I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums,
Series, and Products [in Russian], Fizmatgiz, Moscow, 1963. |
| 11. | M. Ya. Leonov, "To the theory of analysis of elastic bases," PMM
[Applied Mathematics and Mechanics], Vol. 3, No. 2, pp. 53-78, 1939. |
| 12. | G. Schubert, "Zur Frage der Druckverteilung unter elastisch
gelagerten Tragwerken," Ing.-Archiv, Vol. 13, No. 3, pp. 132-147, 1942. |
| 13. | I. Ya. Shtaerman, The Contact Problem of Elasticity [in Russian],
Gostekhizdat, Moscow, Leningrad, 1949. |
| 14. | V. I. Mossakovskii, "Application of the reciprocity theorem to
the determination of net forces and moments in 3D contact problems," PMM
[Applied Mathematics and Mechanics], Vol. 17, No. 4, pp. 477-482, 1953. |
|
| Received |
29 May 2003 |
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