IEEE Trans Ultrason Ferroelectr Freq Control. 2018 Jun;65(6):1056-1061. doi: 10.1109/TUFFC.2018.2821440.
In this paper, we show that acoustoelasticity in hyperelastic materials can be understood using the framework of nonlinear wave mixing, which, when coupled with an induced static stress, leads to a change in the phase velocity of the propagating wave with no change in frequency. By performing Floquet wave eigenvalue analysis, we also show that band gaps for periodic composites, acting as 1-D phononic crystals, can be tuned using this static stress. In the presence of second-order elastic nonlinearities, the phase velocity of propagating waves in the phononic structure changes, leading to observable shifts in the band gaps. Finally, we present numerical examples as evidence that the band gaps are tuned by both the direction of the stress and its magnitude.
在本文中，我们展示了超弹性材料中的声弹性可以用非线性波混合的框架来理解，当与感应静态应力耦合时，会导致传播波的相速度发生变化而频率不变。通过进行 Floquet 波特征值分析，我们还表明，作为一维声子晶体的周期性复合材料的带隙可以通过这种静态应力进行调节。在存在二阶弹性非线性的情况下，声子结构中传播波的相速度发生变化，导致带隙发生可观察到的移动。最后，我们给出了数值实例，证明了带隙可以通过应力的方向和大小来调节。
