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. 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.

5 pages 1 figure

References in corpus (2)

• Exterior cloaking with active sources in two dimensional acoustics
• Complete characterization and synthesis of the response function of elastodynamic networks