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Temperature-controlled Elastic Wave Transport in Topological Ferroelectric Phononic Crystal Plates
International Journal of Mechanical Sciences ( IF 7.1 ) Pub Date : 2022-11-21 , DOI: 10.1016/j.ijmecsci.2022.107964
Zhenyu Chen , Weijian Zhou

Thermally tunable elastic wave transport with controllable topological properties in a thin plate is investigated. For the prior plate-type phononic crystals designed with passive materials, the working frequencies are fixed once manufactured. However, meta-devices are always desired to be tuned at will. Therefore, we use ferroelectric ceramics to design topologically protected elastic waveguide devices by temperature variation, leading to the manipulation of band properties and working frequencies. The initial configuration of the unit periodic cell is comprised of a thin plate sandwiched by two snowflake prisms. The polarization of elastic waves in thin plates is utilized to distinguish the wave modes. By further tuning the geometric parameter, the snowflake prisms are changed to A-shaped prisms. Consequently, the mirror symmetry is broken to open a new bandgap for A0 Lamb mode. Then, the topological phase transition is observed by analyzing the mode shapes and the valley Chern number. To further capture the topologically protected interface mode, we design an interface between two arrays of unit cells controlled by different symmetry-broken geometries. It is found that the topological phononic crystal plate with A-shaped prisms realizes broadband interface modes with high quality factors compared to the structures with other geometrically tuning parameters. Based on the interface mode, the controllable waveguide paths are numerically demonstrated and a novel elastic whisper-gallery mode is realized. Via temperature control, the system can be easily tuned to work in a wider frequency range. The results obtained in this manuscript can further promote the practical application of controllable elastic wave transport in thin plates.



中文翻译:

拓扑铁电声子晶体板中的温控弹性波传输

研究了薄板中具有可控拓扑特性的热可调谐弹性波传输。对于现有的采用被动材料设计的板型声子晶体,工作频率一旦制造出来就固定了。然而,元设备总是希望可以随意调整。因此,我们使用铁电陶瓷来设计受温度变化影响的拓扑保护弹性波导器件,从而实现对频带特性和工作频率的操纵。单位周期晶胞的初始配置由夹在两个雪花棱镜之间的薄板组成。利用薄板中弹性波的偏振来区分波模。通过进一步调整几何参数,雪花棱镜变为A形棱镜。最后,一个0羔羊模式。然后,通过分析模式形状和谷陈数来观察拓扑相变。为了进一步捕获受拓扑保护的界面模式,我们设计了两个由不同对称性破缺几何结构控制的晶胞阵列之间的界面。结果发现,与具有其他几何调谐参数的结构相比,具有 A 形棱镜的拓扑声子晶体板实现了具有高品质因数的宽带界面模式。基于界面模式,可控波导路径在数值上得到证明,并实现了一种新颖的弹性回音壁模式。通过温度控制,可以轻松调整系统以在更宽的频率范围内工作。

更新日期:2022-11-21
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