论文标题

颞层层压和不完美的手性界面的边缘波和传输

Edge Waves and Transmissions for Temporal Laminates and Imperfect Chiral Interfaces

论文作者

Movchan, A. B., Movchan, N. V., Jones, I. S., Milton, G. W., Nguyen, H. -M.

论文摘要

提出了在空间和时间维度中具有周期性的结构中的波模式的分析。还考虑了不完美的手性接口的主题。尽管因果关系对于物理过程至关重要,但是当在时间界面上拆分波浪时,可以观察到自然波现象。在空间界面上裂开的波浪是更常见的发生。但是,当管理方程的系数与时间依赖时,时间界面变得很重要。在这里,研究了相关的边缘波,并在发现溶液的生长时间的情况下分析了机制。在手性弹性系统的矢量案例中,还考虑了不完美的界面,其位移是不连续的。分析研究和渐近近似值提供了说明性的数值示例。

The analysis of wave patterns in a structure which possesses periodicity in the spatial and temporal dimensions is presented. The topic of imperfect chiral interfaces is also considered. Although causality is fundamental for physical processes, natural wave phenomena can be observed when a wave is split at a temporal interface. A wave split at a spatial interface is a more common occurrence; however when the coefficients of the governing equations are time-dependent, the temporal interface becomes important. Here, the associated edge waves are studied, and regimes are analysed where the growth of the solution in time is found. Imperfect interfaces, across which the displacements are discontinuous, are also considered in the vector case of chiral elastic systems. Analytical study and asymptotic approximations are supplied with illustrative numerical examples.

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