具有连续弹性动力学之外宏观行为的新型超材料
New metamaterials with macroscopic behavior outside that of continuum elastodynamics
摘要:
超材料的构造使得,对于窄的频率范围,动量密度取决于局部位移梯度,而应力取决于局部速度。在这些模型中,动量密度通常不仅取决于应变,而且还取决于局部旋转,并且应力通常不对称。构造了一种变体,在固定频率下,动量密度与局部旋转无关(但仍取决于应变),应力是对称的(但仍取决于速度)。这些超材料的推广可能有助于弹性隐身装置的设计。
英文摘要:
Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally depends not only on the strain, but also on the local rotation, and the stress is generally not symmetric. A variant is constructed for which, at a fixed frequency, the momentum density is independent of the local rotation (but still depends on the strain) and the stress is symmetric (but still depends on the velocity). Generalizations of these metamaterials may be useful in the design of elastic cloaking devices.
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