A homogenized model of small oscillations of an elastic system of masses with nonlocal interaction

TitleA homogenized model of small oscillations of an elastic system of masses with nonlocal interaction
Publication TypeJournal Article
Year of Publication2015
AuthorsBerezhnyi, M, Radyakin, NK, Khruslov, EYa.
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2015.10.012
Issue10
SectionMathematics
Pagination12-16
Date Published10/2015
LanguageRussian
Abstract

The problem of small motions of a system of mass points with nonlocal interaction is considered. We study the asymptotic behavior of the problem, when the distances between the nearest particles and the interaction force tend to zero. We obtain a homogenized system of equations, which can be considered as a natural model of the nonlocal elastic theory.

Keywordsa homogenized system of equations, small motions of a system of mass, the nonlocal elastic theory
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