 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| V.A. Babeshko, O.V. Evdokimova, O.M. Babeshko, and V.S. Evdokimov, "On the Mechanical Concept of Self-Assembly of Nanomaterials," Mech. Solids. 58 (5), 1528-1535 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1528-1535 |
| DOI |
10.3103/S002565442370022X |
| Title |
On the Mechanical Concept of Self-Assembly of Nanomaterials |
| Author(s) |
V.A. Babeshko (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 (Kuban State University, Krasnodar, 350040 Russia) |
| Abstract |
The article presents the mechanical concept of self-assembly of nanoparticles. It is assumed that nanoparticles are deformable stamps in a plane dynamic contact problem, lying on the boundary of a multilayer deformable medium. The constant vibration in the microcosm is caused by the oscillatory mode by the energy of phonons and magnons. Earlier, in the works of the authors, the mechanical concept of self-organization of nanoparticles was presented. It is based on high-frequency resonance, which causes the formation of standing waves. They localize the available aggregates of nanoparticles on the crest of standing waves. The self-assembly of nanoparticles is based on resonance, previously predicted by Academician I. I. Vorovich and inherent only in deformable dies in contact problems on a multilayer medium. Deformable nanoparticles are modeled by fractals representing packed block elements described by the Helmholtz equation. The resonance of the deformable dies allows the capture of nanoparticles, dictated by the Coulomb forces of attraction. It is shown that the combination of two fractals generates a new fractal with a combined carrier, and in the case of multiple association, a fragment of a nanomaterial is obtained. To implement the study, for the first time it was possible to construct a high-precision approximate solution of a plane contact problem on the action of a stamp of any finite size on a multilayer base. This result is dictated by the need for an analytical construction of the theory of self-assembly of nanomaterials. |
| Keywords |
boundary value problems, nanoparticles, integral equations, high-frequency resonance, factorization, self-assembly |
| Received |
11 January 2023 | Revised |
20 January 2023 | Accepted |
23 January 2023 |
| Link to Fulltext |
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