Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance
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DOI：
10.1016/j.wavemoti.2016.02.001
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发表时间：
2016-06-01
期刊：
影响因子：
2.4
通讯作者：
Abrahams, I. David
中科院分区：
文献类型：
--
作者：
Barnwell, Ellis G.;Parnell, William J.;Abrahams, I. David
研究了非线性弹性预应力对反平面弹性波在二维周期结构中传播的影响。该介质由嵌入在均匀基质中的周期正方形晶格上的圆柱形环状结构组成。在每个环空中施加相同的不均匀变形，并利用从小到大的理论推导出控制后续小振幅反平面波的增量波动方程。采用平面波展开法确定了允许的固有频率。研究发现，预应力显著影响Mooney、Rivlin和冯型材料的禁带结构，允许禁带的开启和关闭。然而，对于一类特定的材料，它们的声子性质在非线性形变下保持不变，允许一些相当有趣的行为，并导致了声子斗篷的可能性。(C)2016年提交人。爱思唯尔出版公司(Elsevier B.V.)
The effect of nonlinear elastic pre-stress on antiplane elastic wave propagation in a two-dimensional periodic structure is investigated. The medium consists of cylindrical annuli embedded on a periodic square lattice in a uniform host material. An identical inhomogeneous deformation is imposed in each annulus and the theory of small-on-large is used to find the incremental wave equation governing subsequent small-amplitude antiplane waves. The plane-wave-expansion method is employed in order to determine the permissable eigenfrequencies. It is found that pre-stress significantly affects the band gap structure for Mooney Rivlin and Fung type materials, allowing stop bands to be switched on and off. However, it is also shown that for a specific class of materials, their phononic properties remain invariant under nonlinear deformation, permitting some rather interesting behaviour and leading to the possibility of phononic cloaks. (C) 2016 The Authors. Published by Elsevier B.V.