From approximation of dissipative systems to representative space-time volume elements for metamaterials

被引：1

作者：

Chekeres, Olga ^{[1
]}

Salnikov, Vladimir ^{[2
]}

D'Annibale, Francesco ^{[3
]}

机构：

[1] Lomonosov Moscow State Univ, ITMP, Leninskie Gory GSP 1, Moscow 119991, Russia

[2] La Rochelle Univ, LaSIE, CNRS, Ave Michele Crepeau, F-17042 La Rochelle, France

[3] Univ Aquila, Piazzale Pontieri 1, I-67100 Laquila, Italy

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2024年 / 36卷 / 06期

关键词：

Dissipative Lagrangians; Approximation; Space-time formalism; Representative volume elements; Metamaterials; PANTOGRAPHIC METAMATERIALS; EXISTENCE;

D O I：

10.1007/s00161-024-01318-z

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper we present some relatively unexpected mathematical questions emerging from the idea to approximate dissipative mechanical systems using Lagrangian formalism. We also explain potential consequences of these constructions for definition of representative space-time volume elements in modelling of metamaterials.

引用

页码：1597 / 1605

页数：9

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