Localization of elastic waves in one-dimensional detuned phononic crystals with flexoelectric effect  

作　　者：Cheng Shen Yifan Kong Tian Jian Lu Shasha Yang 

机构地区：[1]State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing,PR,China [2]MIIT Key Laboratory of Multifunctional Lightweight Materials and Structures,Nanjing University of Aeronautics and Astronautics,Nanjing,PR,China [3]Space Structure and Mechanism Technology Laboratory of China Aerospace Science and Technology Group Co.Ltd,Shanghai,P.R China [4]School of Mechanical Engineering,Nanjing Vocational University of Industry Technology,Nanjing,P.R China

出　　处：《International Journal of Smart and Nano Materials》2022年第2期244-262,共19页国际智能和纳米材料杂志（英文）

基　　金：This work is supported by the National Natural Science Foundation of China(11502110,11972185,and 12002156);the Open Fund of the State Key Laboratory for Strength and Vibration of Mechanical Structures,Xi’an Jiaotong University(No.SV2018-KF-01,No.SV2018-KF-22);the Open Project of Space Structure and Mechanism Technology Laboratory of China Aerospace Science and Technology Group Co.,Ltd.

摘　　要：Although forbidden band effect in perfectly periodic phononic crystals(PC)is very attractive,random disordered(i.e.detuning)phenomenon is inevitable in engineering processing,thus explor-ing the effect of detuning on the wave characteristics of PC becomes a necessity.In this study,fundamental governing equa-tions and boundary conditions are derived from the principle of virtual work.Wave characteristics and localization factor of one-dimensional(1D)detuned nano-PC are investigated based on the transfer matrix method,with flexoelectric effect duly accounted for.Subsequently,with BaTiO_(3)SrTiO_(3) nano-PC taken for illustration,forbidden band properties and localization factor of 1D elastic waves in harmonic and detuned states are systematically character-ized.It is demonstrated that localization factor can characterize the energy band structure of 1D PC perfectly.Flexoelectric effect tends to widen the width of forbidden band with increasing detuning,and detuning is linearly related to the bandwidth.The forbidden band is more sensitive to flexoelectric coefficient detuning than thickness detuning.The research results provide useful theoretical guidance for designing high-frequency nanoscaled devices with the function of filtering based on band gap effect of nano-PC.

关 键 词：Flexoelectric effect phononic crystal DETUNING localization factor forbidden band 

分 类 号：O17[理学—数学]