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弹性波/声波超材料必将在各领域中产生巨大的应用潜力.论文研究了同时具有负有效模量和负有效密度的一维多相弹性波超材料,利用传递矩阵法和等效层的概念,得到了具备双负特性的周期性多相材料微结构.考虑粘性阻尼时,其有效常数表现为复数,且弹性波在双负频段表现为左手通带.该结果可为一维弹性波/声波超材料的设计提供一定的理论依据.
Elastic wave / sonic metamaterials will have great potential in all fields.In this paper, one-dimensional multi-phase elastic wave metamaterials with negative effective moduli and negative effective densities are studied. By using transfer matrix method and equivalent layer Concept, the microstructure of periodic multi-phase material with double negative characteristics is obtained. When the viscous damping is considered, the effective constant appears as a complex number and the elastic wave appears as the left hand passband in the double negative band.The result can be one-dimensional elastic wave / Sonic metamaterials to provide some theoretical basis for the design.