Asymptotic Modelling for 3D Eddy Current Problems with a Conductive Thin Layer

Mohammad Issa 1 Victor Péron 2, 3, 4 Ronan Perrussel 1
1 LAPLACE - LAboratoire PLasma et Conversion d'Energie
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
3 UPPA - Université de Pau et des Pays de l'Adour
4 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
Abstract : In this work we derive and analyze an equivalent model for 3D Eddy Current problems with a conductive thin layer of small thickness $\epsilon$. In our model, the conductive sheet is replaced by its mid-surface and their shielding behavior is satisfied by an equivalent transmission conditions on this interface. The transmission conditions are derived asymptotically for vanishing sheet thickness $\epsilon$.
Keywords : Transmission Conditions Thin Conducting Layers Eddy-Current Problems Asymptotic Expansions
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Mohammad Issa, Victor Péron, Ronan Perrussel. Asymptotic Modelling for 3D Eddy Current Problems with a Conductive Thin Layer. ACOMEN 2017 - 7th International Conference on Advanced COmputational Methods in ENgineering, Sep 2017, Ghent, Belgium. ⟨hal-01679683⟩

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