Abstract
In this paper, we shall propose an elastic metamaterial based on a specific rubber/aluminum superlattice. We will calculate the frequency-dependent effective mass density and transverse elastic constant in the Local and Nonlocal homogenization regimes. Using the effective dynamic parameters, the phononic dispersion calculations of the homogenized elastic crystal show a second pass band for transverse modes where the superlattice behaves as a double-negative elastic metamaterial having simultaneously negative effective mass density and shear modulus. Which is very useful for designing resonant elastic metamaterials.
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