The work reported in this paper aims at studying the magneto-electric field variation accounting for a thin interphase layer with different materials. Thin interphase within a solid can significantly affect the overall response of the composite material. In order to obtain this phenomenon, we replace the interphase by an imperfect interface with appropriately devised interface conditions. To get the interface conditions, a Taylor expansion of the relevant physical fields in the thin region is introduced. Those conditions do not involve the fields within the interphase, which just have relation to the material properties and the fields of the adjacent media. Finally, the influence of the thin interphase on the performance of fibrous multiferroic composites is analyzed in detail by using our method and some useful conclusions are summarized.

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