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Elastic superlattices with simultaneously negative effective mass density and shear modulus

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3 Author(s)
Solis-Mora, I.S. ; Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Apdo. Post. 1152, Puebla, Pue. 72000, Mexico ; Palomino-Ovando, M.A. ; Perez-Rodriguez, F.

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We investigate the vibrational properties of superlattices with layers of rubber and polyurethane foam, which can be either conventional or auxetic. Phononic dispersion calculations show a second pass band for transverse modes inside the lowest band gap of the longitudinal modes. In such a band, the superlattices behave as a double-negative elastic metamaterial since the effective dynamic mass density and shear modulus are both negative. The pass band is associated to a Fabry-Perot resonance band which turns out to be very narrow as a consequence of the high contrast between the acoustic impedances of the superlattice components.

Published in:

Journal of Applied Physics  (Volume:113 ,  Issue: 9 )