Dispersion properties of vortex-type monatomic lattices
Dispersion properties of vortex-type monatomic lattices
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DOI：
10.1016/j.ijsolstr.2014.02.026
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发表时间：
2014-06-01
影响因子：
3.6
通讯作者：
Jones, I. S.
中科院分区：
文献类型：
--
作者：
Carta, G.;Brun, M.;Jones, I. S.
本文系统地研究了弹性手征晶格中的色散波。手性是通过嵌入到双周期格子结中的陀螺仪来引入的。假定Bloch-Floquite波在基胞上满足准周期条件。该系统的新特征包括由于内置陀螺仪的旋转作用而导致的简并性，以及导致剪切波在表征陀螺仪旋转作用的常数的特定范围内占优势的偏振。特别注意分析了在色散面临界点附近出现不同类型驻波的Bloch-Floquite波。理论模型伴随着数值模拟，演示了系统的定向局部化和动态各向异性。(C)2014爱思唯尔有限公司。保留所有权利。
The paper presents a systematic study of dispersive waves in an elastic chiral lattice. Chirality is introduced through gyroscopes embedded into the junctions of a doubly periodic lattice. Bloch-Floquet waves are assumed to satisfy the quasi-periodicity conditions on the elementary cell. New features of the system include degeneracy due to the rotational action of the built-in gyroscopes and polarisation leading to the dominance of shear waves within a certain range of values of the constant characterising the rotational action of the gyroscopes. Special attention is given to the analysis of Bloch-Floquet waves in the neighbourhoods of critical points of the dispersion surfaces, where standing waves of different types occur. The theoretical model is accompanied by numerical simulations demonstrating directional localisation and dynamic anisotropy of the system. (C) 2014 Elsevier Ltd. All rights reserved.