Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial : new perspectives towards metastructural design
Autor: | Patrizio Neff, Angela Madeo, Marco Valerio d'Agostino, Marco Miniaci, Gabriele Barbagallo, Manuel Collet |
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Přispěvatelé: | Mécanique des Matériaux et des Structures (M2S), Géomécanique, Matériaux et Structures (GEOMAS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon, Institut Universitaire de France (IUF), Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche (M.E.N.E.S.R.), Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] (LaMCoS), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Tribologie et Dynamique des Systèmes (LTDS), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-École Nationale des Travaux Publics de l'État (ENTPE)-Ecole Nationale d'Ingénieurs de Saint Etienne-Centre National de la Recherche Scientifique (CNRS), Laboratoire Ondes et Milieux Complexes (LOMC), Centre National de la Recherche Scientifique (CNRS)-Université Le Havre Normandie (ULH), Normandie Université (NU)-Normandie Université (NU), Universität Duisburg-Essen [Essen] |
Jazyk: | angličtina |
Rok vydání: | 2018 |
Předmět: |
Materials science
AMS 2010: 74A10 74A30 74A60 74E15 74M25 74Q15 Band gap General Mathematics complete band-gaps FOS: Physical sciences 02 engineering and technology free micro-inertia 01 natural sciences gradient micro-inertia Optics 0203 mechanical engineering [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph] non-local General Materials Science effects 0101 mathematics Condensed Matter - Materials Science business.industry Isotropy transmission Materials Science (cond-mat.mtrl-sci) Metamaterial generalized continuum models Non local 74A10 74A30 74A60 74E15 74M25 74Q15 010101 applied mathematics 020303 mechanical engineering & transports Mechanics of Materials Homogeneous relaxed micromorphic model Mathematik meta-structures business reflection |
Zdroj: | Mathematics and Mechanics of Solids Mathematics and Mechanics of Solids, SAGE Publications, 2018, 23 (12), pp.1485-1506. ⟨10.1177/1081286517728423⟩ |
ISSN: | 1081-2865 |
DOI: | 10.1177/1081286517728423⟩ |
Popis: | In the present paper, the material parameters of the isotropic relaxed micromorphic model derived for a specific metamaterial in a previous contribution are used to model its transmission properties. Specifically, the reflection and transmission coefficients at an interface between a homogeneous solid and the chosen metamaterial are analyzed by using both the relaxed micromorphic model and a direct FEM implementation of the detailed microstructure. The obtained results show an excellent agreement between the transmission spectra derived via our enriched continuum model and those issued by the direct FEM simulation. Such excellent agreement validates the indirect measure of the material parameters and opens the way towards an efficient meta-structural design. Comment: The paper has been already accepted in Mathematics and Mechanics of Solids as it is |
Databáze: | OpenAIRE |
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