 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 48, Issue 6 / 2013 | Next article >> |
| A.V. Zvyagin, "Critical Velocity in a Contact Elasticity Problem for the Case of Transonic Punch Velocity," Mech. Solids. 48 (6), 649-658 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
6 |
Pages |
649-658 |
| DOI |
10.3103/S0025654413060083 |
| Title |
Critical Velocity in a Contact Elasticity Problem for the Case of Transonic Punch Velocity |
| Author(s) |
A.V. Zvyagin (Lomonosov Moscow State University, MGU 1, Vorob'evy Gory, Moscow, 119991 Russia, zvsasha@rambler.ru) |
| Abstract |
The paper deals with a dynamic contact problem in the presence of friction forces in the transonic range of punch velocities, where the punch velocity exceeds the transverse wave velocity but is still less than the longitudinal wave velocity. It is shown that there exists a critical velocity at which the solution structure and the character of its behavior on the boundary of the contact region change. This velocity is sqrt2 times the transverse wave velocity. The existence of this velocity is possibly related to the surface wave velocity under restricted deformation conditions. |
| Keywords |
contact problem, elasticity, dry friction, transonic motion, surface wave |
| References |
| 1. | L. A. Galin,
Contact Problems of Elasticity
(Gostekhizdat, Moscow, 1953)
[in Russian]. |
| 2. | L. A. Galin,
Contact Problems of Elasticity and Viscoelasticity
(Nauka, Moscow, 1980)
[in Russian]. |
| 3. | A. J. Rosakis, O. Samudrala, and D. Coker,
"Cracks Faster than the Shear Wave Speed,"
www.sciencemag.org, Science
284 (5418), 1337-1340 (1999). |
| 4. | E. A. Brener, S. V. Malinin, and V. I. Marchenko,
"Fracture and Friction: Stick-Slip Motion,"
arXiv:cond-mat/0411481v1, 1-12 (2004). |
| 5. | Su Hao, Wing Kam Liu, P. A. Klein, and A. J. Rosakis,
"Modeling and Simulation of Intersonic Crack Growth,"
Int. J. Solids Struct.,
41 (78), 1773-1799 (2004). |
| 6. | F. D. Gakhov,
Boundary Value Problems
(Nauka, Moscow, 1977)
[in Russian]. |
| 7. | A. V. Zvyagin,
"The Supersonic Motion of a Rigid Body in an Elastic Medium with Friction,"
Vestnik Moskov. Univ. Ser. I Mat. Mekh.,
No. 4, 52-61 (2007)
[Moscow Univ. Mech. Bull. (Engl. Transl.)
62 (4), 99-109 (2007)]. |
| 8. | A. V. Zvyagin and G. A. Romashov,
"Formation of Separation Regions in the Presence of Asymmetry
of the Body Motion in an Elastic Medium,"
in Shevchenko Spring. Proceedings of Scientific International Interdisciplinary Conference of Students, Postgraduates, and Young Scientists
(Logos, Kiev, 2010), No. VIII, p. 444. |
| 9. | A. V. Zvyagin and G. A. Romashov,
"Surface Waves under Constrained Deformation,"
Vestnik Moskov. Univ. Ser. I Mat. Mekh.,
No. 4, 59-62 (2011)
[Moscow Univ. Mech. Bull. (Engl. Transl.)
67 (2), 43-45 (2011)]. |
|
| Received |
14 December 2010 |
| Link to Fulltext |
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