Elastic cloaking theory
Elastic cloaking theory
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DOI：
10.1016/j.wavemoti.2011.03.002
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发表时间：
2011-09-01
期刊：
影响因子：
2.4
通讯作者：
Shuvalov, A. L.
中科院分区：
文献类型：
--
作者：
Norris, A. N.;Shuvalov, A. L.
本文发展了线性各向异性弹性力学方程的变换理论。变换后的方程对应于非唯一的材料特性，对于给定的变换，可以通过选择两种描述中与位移相关的矩阵来改变材料特性。这个规范矩阵可以被选择，以使变换的密度各向同性的任何变换，虽然在变换的材料中的应力通常是不对称的。与米尔顿等人[1]一致，只有当规范矩阵与变换矩阵相同时，才能得到对称应力。将弹性变换理论应用于圆柱各向异性的情况。将各向同性材料的运动方程表示为斯特罗格式，适用于圆柱形弹性隐身的建模。结果表明，有一个优选的近似材料与对称的应力，可能是一个有用的候选人，使圆柱形弹性隐身装置。(C)2011 Elsevier B.V.保留所有权利。
Transformation theory is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given transformation by selection of the matrix relating displacements in the two descriptions. This gauge matrix can be chosen to make the transformed density isotropic for any transformation although the stress in the transformed material is not generally symmetric. Symmetric stress is obtained only if the gauge matrix is identical to the transformation matrix, in agreement with Milton et al. [1]. The elastic transformation theory is applied to the case of cylindrical anisotropy. The equations of motion for the transformed material with isotropic density are expressed in Stroh format, suitable for modeling cylindrical elastic cloaking. It is shown that there is a preferred approximate material with symmetric stress that could be a useful candidate for making cylindrical elastic cloaking devices. (C) 2011 Elsevier B.V. All rights reserved.