Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
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IssuesArchive of Issues2022-6pp.1338-1343

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V.A. Babeshko, O.V. Evdokimova, O.M. Babeshko, and V.S. Evdokimov, "On One Mechanical Model of Self-Organization of Nanoparticles," Mech. Solids. 57 (6), 1338-1343 (2022)
Year 2022 Volume 57 Number 6 Pages 1338-1343
DOI 10.3103/S0025654422060164
Title On One Mechanical Model of Self-Organization of Nanoparticles
Author(s) V.A. Babeshko (Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006 Russia; Kuban State University, Krasnodar, 350040 Russia, babeshko41@mail.ru)
O.V. Evdokimova (Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006 Russia)
O.M. Babeshko (Kuban State University, Krasnodar, 350040 Russia)
V.S. Evdokimov (Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006 Russia)
Abstract Based on the properties of block elements that imitate nanoparticles in contact with a multilayer base, a model of self-organization of such objects is built. It is assumed that the nanoparticles contact without friction with a deformable base that is in a state of vibration. To build a model in the article, for the first time, analytical relations are constructed that allow obtaining the parameters for the occurrence of high-frequency resonance for such a mechanical structure, or, what is the same, trap modes. Thanks to these relationships, based on the properties of the behavior of mechanical objects located on the surface of a deformable base under vibration conditions, a model of their self-organization is built. Self-organization consists in the desire, under certain mechanical and geometric parameters of a mechanical system, to unite surface objects. The constructed model allows its transfer to nanoparticles from multicomponent materials.
Keywords boundary value problems, nanoparticles, integral equations, high-frequency resonance, factorization, self-assembly
Received 30 March 2022Revised 03 April 2022Accepted 04 April 2022
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