A homogenized model of small oscillations of an elastic system of masses with nonlocal interaction
DOI:
https://doi.org/10.15407/dopovidi2015.10.012Keywords:
a homogenized system of equations, small motions of a system of mass, the nonlocal elastic theoryAbstract
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.
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