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Nonlinear pre-stress for cloaking from antiplane elastic waves

renchunxiao 添加于 2012/2/21 12:37:56  1259次阅读 | 0次推荐 | 0个评论

A theory is presented showing that cloaking of objects from antiplane elastic waves can be achieved by employing nonlinearelastic pre-stress in a neo-Hookean elastomeric material. This approach would appear to eliminate the requirement of metamaterialswith inhomogeneous anisotropic shear moduli and density. Waves in the pre-stressed medium are bent around the cloaked (cavity)region by inducing inhomogeneous stress fields via pre-stress. The equation governing antiplane waves in the pre-stressedmedium is equivalent to the antiplane equation in an unstressed medium with inhomogeneous and anisotropic shear modulus andisotropic scalar mass density. Note however that these properties are induced naturally by the pre-stress. As the magnitudeof pre-stress can be altered at will, this enables objects of varying size and shape to be cloaked by placing them insidethe fluid-filled deformed cavity region.

作 者:Parnell, William J.
期刊名称: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
期卷页: 02/08/2012 第468卷 第2138期 563~580页
学科领域:数理科学 » 数学 » 数论
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原文链接:http://rspa.royalsocietypublishing.org/content/468/2138/563
DOI: 10.1098/rspa.2011.0477
ISBN: 1364-5021
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相关报道: http://paper.sciencenet.cn/htmlpaper/201222113282599022466.shtm
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