具有频率相关弹性张量和零有效质量密度的超材料
A metamaterial having a frequency dependent elasticity tensor and a zero effective mass density
摘要：
在线性弹性的背景下，我们表明，一个两端网络的弹簧和质量，可以响应完全相同的一个正常的弹簧，但与频率相关的弹性常数。因此，这种弹簧的网络可以具有与频率相关的有效弹性张量，但有效质量密度为零。内部质量影响弹性张量，但在任何频率下对有效质量密度没有贡献。
英文摘要：
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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