Effects of the initial stress on the propagation and localization properties of Rayleigh waves in randomly disordered layered piezoelectric phononic crystals
Effects of the initial stress on the propagation and localization properties of Rayleigh waves in randomly disordered layered piezoelectric phononic crystals
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DOI：
10.1007/s00707-010-0371-0
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发表时间：
2011
期刊：
影响因子：
2.7
通讯作者：
Yi-Ze Wang;Fengming Li;K. Kishimoto
中科院分区：
文献类型：
--
作者：
Yi-Ze Wang;Fengming Li;K. Kishimoto
本文研究了初始应力对随机无序层状压电声子晶体中Rayleigh表面波传播和局域化特性的影响。由于压电材料和聚合物材料的力学性能不同，在满足平衡条件和界面相容性的前提下，考虑了两层材料中不同的初始应力，更符合实际情况。根据连续性条件，推导了两个相邻压电单胞之间的传递矩阵。给出了局部化因子的表达式，分析了波的局部化特性。对PVDF/PZT-2周期性复合材料在初始应力作用下的力学行为进行了数值计算。考虑到机械和电气耦合的带隙特性进行了研究。结果表明，压电常数对局域化程度有一定的影响。随着压电常数的增大，有序结构的阻带区域增大，无序结构的瑞利波局域化特性增强。在失谐周期压电复合材料中，瑞利波将局部化。通过调节初始应力，可以显著改变有序和无序压电声子晶体的带隙和波局域化特性。
In this paper, the effects of the initial stress on the propagation and localization properties of the Rayleigh surface waves in randomly disordered layered piezoelectric phononic crystals are studied. Due to different mechanical properties between the piezoelectric material and the polymer, different initial stresses in these two layers satisfying the equilibrium condition and interfacial compatibility are considered, which is more suitable for the practical cases. The transfer matrix between two consecutive piezoelectric unit cells is derived according to the continuity conditions. The expression of the localization factor is presented, and the wave localization properties are analyzed. Numerical calculations for the PVDF/PZT–2 periodic composites with the initial stress are performed. The band gap characteristics are studied taking the mechanical and electrical coupling into account. It is found that the localization degree can be influenced by the piezoelectric constants. With the increase in the piezoelectric constant, the stop band regions are enlarged for the ordered structures, and the localization properties of Rayleigh waves are strengthened for the disordered systems. The Rayleigh waves will be localized in mistuned periodic piezoelectric composites. The characteristics of band gaps and wave localization in ordered and disordered piezoelectric phononic crystals can be significantly changed by tuning the initial stress.