Nonlocal Elasticity Theory as a Continuous Limit of 3D Networks of Pointwise Interacting Masses
DOI:
https://doi.org/10.15407/mag15.02.203Анотація
Розглядаються малі коливання пружної системи точкових мас (часток) з нелокальною взаємодією. Вивчається асимптотичне поводження системи, коли кількість часток прямує до нескінченності, а відстані між ними та сили взаємодії прямують до нуля. Перший член асимптотики описується усередненою системою рівнянь, що є нелокальною моделлю коливань пружного середовища.
Mathematics Subject Classification: 35Q70, 35Q74, 35B27.
Ключові слова:
нелокальна еластичність, усереднення, інтегральна модель, модель Ерінгена.Посилання
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