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BELLIEUD Michel
Service: Direction
michel.bellieud
umontpellier.fr
0467140000
Domaines de Recherche: - Mathématiques
- Sciences de l'ingénieur/Mécanique
- Sciences de l'ingénieur/ photonique
- Sciences de l'ingénieur/Electromagnétisme
- Physique/Physique/Optique
- Sciences de l'ingénieur/Mécanique/Thermique
- Sciences de l'ingénieur/Microélectronique
- Sciences de l'ingénieur
- Physique
- Mathématiques/Equations aux dérivées partielles [math.AP]
- Sciences de l'ingénieur/Mécanique/Mécanique des solides
- Sciences de l'ingénieur/Mécanique/Mécanique des matériaux
- Physique/Mécanique/Mécanique des matériaux
- Physique/Mécanique/Mécanique des solides
- Sciences de l'ingénieur/Mécanique/Vibrations
- Physique/Mécanique/Vibrations
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Dernieres productions scientifiques :
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Homogenization of Stratified Elastic Composites with High Contrast 
Auteur(s): Bellieud M.
(Article) Publié:
Siam Journal On Mathematical Analysis, vol. 49 p.2615 - 2665 (2017)
Ref HAL: hal-01769898_v1
DOI: 10.1137/15M1012050
Exporter : BibTex | endNote
2 citations
Résumé: We determine the asymptotic behavior of the solutions to the linear elastodynamic equations in a stratified media comprising an alternation of possibly very stiff layers with much softer ones, when the thickness of the layers tends to zero. The limit equations may depend on higher order terms, characterizing bending effects. A part of this work is set in the context of non-periodic homogenization and an extension to stochastic homogenization is presented.
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Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation
Auteur(s): Bellieud M., Cooper Shane
(Article) Publié:
Siam Journal On Mathematical Analysis, vol. 49 p.4275 - 4317 (2017)
Ref HAL: hal-01769911_v1
DOI: 10.1137/16M107551X
Exporter : BibTex | endNote
Résumé: We consider a heterogeneous elastic structure which is stratified in one direction. We derive the limit problem under the sole assumption that the Lamé coefficients and their inverses weakly* converge to some Radon measures.
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Transformational fluctuation electrodynamics: application to thermal radiation illusion
Auteur(s): Alwakil Ahmed, Zerrad Myriam, Bellieud M., Veynante Denis, Enguehard Franck, Rolland Nathalie, Volz Sebastian, Amra Claude
(Article) Publié:
Optics Express, vol. 25 p.17343 (2017)
Ref HAL: hal-01565224_v1
DOI: 10.1364/OE.25.017343
Exporter : BibTex | endNote
1 citation
Résumé: Thermal radiation is a universal property for all objects with temperatures above 0K. Every object with a specific shape and emissivity has its own thermal radiation signature; such signature allows the object to be detected and recognized which can be an undesirable situation. In this paper, we apply transformation optics theory to a thermal radiation problem to develop an electromagnetic illusion by controlling the thermal radiation signature of a given object. Starting from the fluctuation dissipation theorem where thermally fluctuating sources are related to the radiative losses, we demonstrate that it is possible for objects residing in two spaces, virtual and physical, to have the same thermal radiation signature if the complex permittivities and permeabilities satisfy the standard space transformations. We emphasize the invariance of the fluctuation electrodynamics physics under transformation, and show how this result allows the mimicking in thermal radiation. We illustrate the concept using the illusion paradigm in the two-dimensional space and a numerical calculation validates all predictions. Finally, we discuss limitations and extensions of the proposed technique.
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Inverse heat mimicking of given objects
Auteur(s): Alwakil Ahmed, Zerrad Myriam, Bellieud M., Amra Claude
(Article) Publié:
Scientific Reports, vol. 7 p.43288 (2017)
Ref HAL: hal-01524067_v1
DOI: 10.1038/srep43288
Exporter : BibTex | endNote
3 citations
Résumé: We address a general inverse mimicking problem in heat conduction. The objects to cloak and mimic are chosen beforehand; these objects identify a specific set of space transformations. The shapes that can be mimicked are derived from the conductivity matrices. Numerical calculation confirms all of the analytical predictions. The technique provides key advantages for applications and can be extended to the field of waves.
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Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée
Auteur(s): Bellieud M., Cooper Shane
(Article) Publié:
Comptes Rendus Mathématique, vol. 354 p.437 - 442 (2016)
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