Expansion formulae for the homogenized determinant of anisotropic checkerboards

In this paper, some effective properties of anisotropic four-phase periodic checkerboards are studied in two-dimensional electrostatics. An explicit low-contrast second-order expansion for the determinant of the effective conductivity is given. In the case of a two-phase checkerboard with commuting...

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Bibliographic Details
Main Authors: Capdeboscq, Y, Briane, M
Format: Journal article
Published: Royal Society 2006