Abstract:We analyse the elastic properties of a class of cylindrical cloaks deduced from linear geometric transforms x → x in the framework of the Milton-Briane-Willis cloaking theory [New Journal of Physics 8, 248, 2006]. More precisely, we assume that the mapping between displacement fields u(x) → u (x ) is such that u (x ) = A −t u(x), where A is either the transformation gradient F ij = ∂x i /∂x j or the second order identity tensor I. The nature of the cloaks under review can be three-fold: some of them are neutra… Show more
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