 | | 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
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| In English (Mech. Solids): | | 3212 |
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| A.S. Kravchuk, "On One-Dimensional Dynamical Models of Nanotribology," Mech. Solids. 45 (3), 399-405 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
3 |
Pages |
399-405 |
| DOI |
10.3103/S0025654410030106 |
| Title |
On One-Dimensional Dynamical Models of Nanotribology |
| Author(s) |
A.S. Kravchuk (Moscow State University of Instrument Engineering and Computer Science, Stromynka 20, Moscow, 107996 Russia, kravchuk_biocom@mail.ru) |
| Abstract |
The present paper deals with solution of dynamical problems of determining the parameters of mechanical interaction of two deformable bodies at the nanolevel in the case of two models: the classical Tomlinson model and a generalized model that can be used for any long-range potential. Both models are one-dimensional. The resistance to the motion is taken into account in the form of a linear dependence on the motion velocity. The influence of viscous friction forces and of the distance between the interacting bodies is analyzed. |
| Keywords |
nanomechanics, dynamical problems, Tomlinson model, generalized model, friction, adhesion |
| References |
| 1. | Bharat Bhushan (Editor)
Nanotribology and Nanomechanics
(Springer, Berlin, 2006). |
| 2. | G. A. Tomlinson,
"A Molecular Theory of Friction,"
Phil. Mag. Series
7, 935-949 (1929). |
| 3. | Yu. I. Frenkel and Y. Kontorova,
"On the Theory of Plastic Deformation and Twinning,"
Zh. Eksp. Teor. Fiz.
8, 1340-1348 (1938)
[Sov. Phys. JETP (Engl. Transl.)
13, 1-10 (1938)]. |
| 4. | A. S. Kravchuk,
"On Models and Solution of Problems of Mechanics of Nanocontact,"
in Mathematical Modeling of Systems and Processes.
Collection of Proc. Perm State Tech. Univ.
(Perm State Tech. Univ., Perm, 2007),
No. 15, 123-141 (2007). |
| 5. | I. Goryacheva, A. Kravchuk, and P. Neittaanmaki,
"Numerical Solution of Nanomechanics Problems.
Development of the Hybrid Method,"
in Proc. 8th World Conf. on Computational Mechanics (WCCM VIII)
and 5th Europ. Congr. Comput. Methods in Appl. Sci. and Eng-ng (ECCOMAS V),
2008, Venice, Italy
(2008). |
| 6. | A. Kravchuk and P. Neittaanmaki,
"On a Model of Nanotribology,"
in 18th Int. Conf. Comp. Methods in Mech. CMM 2008. Zeliona Gora, Poland,
Short Papers
(2009),
pp. 253-254. |
|
| Received |
14 January 2010 |
| Link to Fulltext |
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