Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued

Dag Lukkassen, Annette Meidell · Journal of Applied Mathematics · 2012

We consider generalized chessboard structures where the local conductivity takes two values a and b. All integer combinations of a and b which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matrix by using the finite‐element method.

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