非中心对称梯度固体的弹性动力学变换隐身
Elastodynamic Transformation Cloaking for Non-Centrosymmetric Gradient Solids
摘要：
本文研究了非中心对称梯度固体弹性动力学变换隐身的可能性。变换隐身的目的是隐藏一个洞从弹性干扰的意义上说，一个均匀的和各向同性的身体与一个洞覆盖斗篷的机械响应将是相同的，相应的均匀和各向同性的身体外面的斗篷。众所周知，在中心对称梯度固体的情况下，角动量的平衡是变换隐形的障碍。我们将证明，这也是非中心对称梯度固体的情况。
英文摘要：
In this paper we investigate the possibility of elastodynamic transformation cloaking in bodies made of non-centrosymmetric gradient solids. The goal of transformation cloaking is to hide a hole from elastic disturbances in the sense that the mechanical response of a homogeneous and isotropic body with a hole covered by a cloak would be identical to that of the corresponding homogeneous and isotropic body outside the cloak. It is known that in the case of centrosymmetric gradient solids the balance of angular momentum is the obstruction to transformation cloaking. We will show that this is the case for non-centrosymmetric gradient solids as well.
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