A metamaterial having a frequency dependent elasticity tensor and a zero effective mass density

Abstract

Within the context of linear elasticity we show that a two-terminal network of springs and masses, can respond exactly the same as a normal spring, but with a frequency dependent spring constant. A network of such springs can have a frequency dependent effective elasticity tensor but zero effective mass density. The internal masses influence the elasticity tensor, but do not contribute to the effective mass density. © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.