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

GND
1192921208
Affiliation
Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland
Owczarek, Sebastian;
ORCID
0000-0002-8466-8010
Affiliation
Alexandru Ioan Cuza University of Iaşi, Department of Mathematics, Iaşi, Romania; Octav Mayer Institute of Mathematics of the Romanian Academy, Iaşi, Romania
Ghiba, Ionel-Dumitrel;
Affiliation
GEOMAS, INSA-Lyon, Université de Lyon, Villeurbanne, France
d’Agostino, Marco-Valerio;
GND
122258886
ORCID
0000-0002-1615-8879
LSF
13332
Affiliation
Fakultät für Mathematik, Universität Duisburg-Essen, Essen, Germany
Neff, Patrizio
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.

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Date Issued:
08.04.2019
URN:
urn:nbn:de:hbz:465-20220401-161105-8
DOI:
10.1177/1081286519838311
Language:
English
Type of Resource:
Text
Keywords:
Wave propagation; generalized continua; micro-inertia
Collection:
E-Publications
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Hosting institution:
Faculty of Mathematics
funding:
Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
Info on primary publication:

Owczarek, S., Ghiba, I.-D., d’Agostino, M.-V., & Neff, P. (2019). Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics. Mathematics and Mechanics of Solids, 24(10), 3200–3215. https://doi.org/10.1177/1081286519838311

First Published April 8, 2019

 

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