| People | Locations | Statistics |
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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Daouadji, Ali
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Topics
Publications (10/10 displayed)
- 2023Influence of Grain‐Scale Properties on Localization Patterns and Slip Weakening Within Dense Granular Fault Gougescitations
- 2021Effect of mechanical and geometrical properties on dynamic behavior of asymmetrical composite sandwich beam with viscoelastic core
- 2020Frequency- and angle-dependent scattering of a finite-sized meta-structure via the relaxed micromorphic modelcitations
- 2019Relaxed micromorphic broadband scattering for finite-size meta-structures -- a detailed development
- 2019Relaxed micromorphic broadband scattering for finite-size meta-structures - a detailed development
- 2018Low-and high-frequency Stoneley waves, reflection and transmission at a Cauchy/relaxed micromorphic interface
- 2018Low-and high-frequency Stoneley waves, reflection and transmission at a Cauchy/relaxed micromorphic interface
- 2018Damped dynamic response of strengthened beams by composite coats under moving force by FEM ; Réponse dynamique amortie des poutres renforcées par des couches en composites sous une force mobile en utilisant la MEF.
- 2018Quasi-static Incremental Behavior of Granular Materials: Elastic–Plastic Coupling and Micro-scale Dissipationcitations
- 2017Free and Forced Vibration of Beams Strengthened by Composite Coats Subjected to Moving Loadscitations
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document
Relaxed micromorphic broadband scattering for finite-size meta-structures - a detailed development
Abstract
The conception of new metamaterials showing unorthodox behaviors with respect to elastic wavepropagation has become possible in recent years thanks to powerful dynamical homogenization techniques. Such methods effectively allow to describe the behavior of an infinite medium generated by periodically architectured base materials. Nevertheless, when it comes to the study of the scattering properties of finite-sized structures, dealing with the correct boundary conditions at the macroscopicscale becomes challenging. In this paper, we show how finite-domain boundary value problems canbe set-up in the framework of enriched continuum mechanics (relaxed micromorphic model) by imposing continuity of macroscopic displacement and of generalized traction when non-local effects areneglected.The case of a metamaterial slab of finite width is presented, its scattering properties are studied viaa semi-analytical solution of the relaxed micromorphic model and compared to numerical simulationsencoding all details of the selected microstructure. The reflection coefficient obtained via the twomethods is presented as a function of the frequency and of the direction of propagation of the incidentwave. We find excellent agreement for a large range of frequencies going from the long-wave limitto frequencies beyond the first band-gap and for angles of incidence ranging from normal to nearparallel incidence. The case of a semi-infinite metamaterial is also presented and is seen to be areliable measure of the average behavior of the finite metastructure. A tremendous gain in termsof computational time is obtained when using the relaxed micromorphic model for the study of theconsidered metastructure.