Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued

[摘要] We consider generalized chessboard structures where the local conductivity takes two valuesaandb. All integer combinations ofaandbwhich 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.

[学科分类] 应用数学