Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics-Reference-Cited by-同舟云学术

Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics

Published:2019-04-08 Issue:10 Volume:24 Page:3200-3215
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Owczarek Sebastian¹,Ghiba Ionel-Dumitrel²^ORCID,d’Agostino Marco-Valerio³,Neff Patrizio⁴

Affiliation:

1. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

2. Alexandru Ioan Cuza University of Iaşi, Department of Mathematics, Iaşi, Romania; Octav Mayer Institute of Mathematics of the Romanian Academy, Iaşi, Romania

3. GEOMAS, INSA-Lyon, Université de Lyon, Villeurbanne, France

4. Fakultät für Mathematik, Universität Duisburg-Essen, Essen, Germany

Abstract

We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of metamaterials, we focus our effort on two recent nonstandard relaxed micromorphic models including novel micro-inertia terms. These novel micro-inertia terms are needed to better capture the band-gap response. The existence proof is based on the Banach fixed-point theorem.

Funder

Alexandru Ioan Cuza University of Iasi

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/1081286519838311

Reference61 articles.

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2. Micro-structure in linear elasticity

3. Microcontinuum Field Theories

4. Well-Posedness of Dynamic Cosserat Plasticity

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