Asymptotic Calculation of Equivalent Electromagnetic and Thermal Properties for Composite Materials

Didier Trichet (1) , Eric Chauveau (2) , Javad Fouladgar (3)

1 IREENA - Institut de Recherche en Energie Electrique de Nantes Atlantique EA4642
2 AGE - ESEO-AGE
3 IREENA - Institut de Recherche en Energie Electrique de Nantes Atlantique UR 4642

In this paper, the asymptotic development method is used to study the electromagnetic and thermal behavior of nonhomogeneous materials. The method, widely used in high frequency applications, is adapted to an induction heating system of partially conducting composites. The asymptotic method, based on the spatial filtering of the electromagnetic field, is applied to study the composite materials with periodic structure. The model is valid when the size of the elementary cell is small compared with the dimensions of the system. For large cells, the model gives an average value of field. A local solution is then used to improve the homogenized field. The conditions of using the model for nonperiodic structures are also discussed.

Mots clés: Composite materials; Equations; Filtering; Sheet materials; Conducting materials; Frequency; Electromagnetic fields; Periodic structures; Geometry; Inverse problems

Domaines: Automatique

Didier Trichet, Eric Chauveau, Javad Fouladgar. Asymptotic Calculation of Equivalent Electromagnetic and Thermal Properties for Composite Materials. IEEE Transactions on Magnetics, 2002, 36 (4), pp.1193-1196. ⟨10.1109/20.877653⟩. ⟨hal-01406654⟩