论文标题
弹性波近地裂
Elastic Wave Near-Cloaking
论文作者
论文摘要
与电磁波的覆盖相反，覆盖的弹性波仍然是一个根本的挑战：后者成功地使用了麦克斯韦方程的不变性，从中出现了变换式光学领域，而弹性navier方程在坐标变换下并不是不变的。我们的目的是至少在实践中克服这一挑战，从而解除了机械，超声，振动缓解，非破坏性评估和弹性波控制的应用。我们通过认识到，尽管缺乏不变性，但在许多情况下，可以有效地使用将形式不变势方程式的分离和可量化的近似方法来控制的，以控制弹性动力学波的流动。在这里，尤其是我们\ rvc {focus}对所提出的近片制造的效率和实用性，这些薄层用地毯斗篷掩盖了从输入的压缩和剪切内部的平面内和表面弹性雷利雷（Elastic Rayleigh Wave）中隐藏表面缺陷。
Cloaking elastic waves has, in contrast to the cloaking of electromagnetic waves, remained a fundamental challenge: the latter successfully uses the invariance of Maxwell's equations, from which the field of transformational optics has emerged, whereas the elastic Navier equations are not invariant under coordinate transformations. Our aim is to overcome this challenge, at least in practical terms, and thereby unlock applications in mechanics, ultrasound, vibration mitigation, non-destructive evaluation and elastic wave control. We achieve near-cloaking by recognising that, despite the lack of invariance, a decoupling into a system of form invariant potential equations together with a quantifiable approximation, can be used effectively in many cases to control the flow of elastodynamic waves. Here, in particular we \rvc{focus} on the efficiency and practicability of the proposed near-cloaking which is illustrated using carpet cloaks to hide surface defects from incoming compressional and shear in-plane waves and from surface elastic Rayleigh waves.
