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

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

2011-05-04

arxiv.org/abs/1105.0941v1

Physics

Classical Physics

5 pages 1 figure

Scientific paper

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. As a consequence 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 at any frequency.

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