Effective constitutive parameters of periodic composites

Ouail Ouchetto, Said Zouhdi, A. Bossavit, Georges Griso, Bernadette Miara · 2005

We present a novel method for analyzing 2D and 3D lossy periodic composites materials, combining an asymptotic multiscale method combined with the unfolding method. The computed effective conductivity for square cylinders (2D), and cubes (3D) suspended in a host isotropic medium are compared with the Maxwell-Garnett mixing formula predictions. The electromagnetic field in a finite lattice of square cylinders using this novel technique is compared with the exact electromagnetic field calculated directly in the heterogeneous lattice.

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