On a magnetic skin effect in eddy current problems: the magnetic potential in magnetically soft materials
PÉRON, Victor
Université de Pau et des Pays de l'Adour [UPPA]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Université de Pau et des Pays de l'Adour [UPPA]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
PÉRON, Victor
Université de Pau et des Pays de l'Adour [UPPA]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
< Réduire
Université de Pau et des Pays de l'Adour [UPPA]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Langue
en
Article de revue
Ce document a été publié dans
Zeitschrift für Angewandte Mathematik und Physik. 2021
Springer Verlag
Résumé en anglais
This work is concerned with the time-harmonic eddy current problem in a bidimen-sional setting with a high contrast of magnetic permeabilities between a conducting medium and a dielectric medium. We describe a magnetic ...Lire la suite >
This work is concerned with the time-harmonic eddy current problem in a bidimen-sional setting with a high contrast of magnetic permeabilities between a conducting medium and a dielectric medium. We describe a magnetic skin effect by deriving rigorously a multiscale expansion for the magnetic potential in power series of a small parameter ε which represents the inverse of the square root of a relative permeability. We make explicit the first asymptotics up to the order ε^3. As an application we obtain impedance conditions up to the fourth order of approximation for the magnetic potential. Finally we measure this skin effect with a characteristic length that depends on the scalar curvature of the boundary of the conductor.< Réduire
Mots clés en anglais
Asymptotic Expansions
Impedance Conditions
Eddy Current Problems
Magnetic Potential
Ferromagnetic Material
Origine
Importé de halUnités de recherche