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

Graeme Milton; Pierre Seppecher

doi:10.1002/pssb.201084214

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arXiv · 1105.0941

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

Graeme Milton·Pierre Seppecher

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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. 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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Graeme Milton, Pierre Seppecher. 2011-05-04. A metamaterial having a frequency dependent elasticity tensor and a zero effective mass density. https://doi.org/10.1002/pssb.201084214

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