反平面弹性波隐身的非线性预应力
Nonlinear pre-stress for cloaking from antiplane elastic waves
摘要：
本文提出了一种理论，表明通过对新胡克非线性弹性材料施加弹性预应力，可以实现对反平面弹性波的隐身。这种方法似乎可以消除对具有非均匀各向异性剪切模量和密度的超材料的要求。预应力介质中的波通过预应力诱导非均匀应力场而在隐身区域周围弯曲。预应力介质中的反平面波方程等价于具有非均匀各向异性剪切模量和各向同性标量质量密度的无应力介质中的反平面方程。然而，请注意，这些特性是由预应力自然引起的。由于预应力的大小可以随意改变，这使得不同大小和形状的物体能够通过将它们放置在流体填充的变形腔区域内而被遮盖。
英文摘要：
A theory is presented showing that cloaking of objects from antiplane elastic waves can be achieved by elastic pre-stress of a neo-Hookean nonlinear elastic material. This approach would appear to eliminate the requirement of metamaterials with inhomogeneous anisotropic shear moduli and density. Waves in the pre-stressed medium are bent around the cloaked region by inducing inhomogeneous stress fields via pre-stress. The equation governing antiplane waves in the pre-stressed medium is equivalent to the antiplane equation in an unstressed medium with inhomogeneous and anisotropic shear modulus and isotropic scalar mass density. Note however that these properties are induced naturally by the pre-stress. Since the magnitude of pre-stress can be altered at will, this enables objects of varying size and shape to be cloaked by placing them inside the fluid-filled deformed cavity region.
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