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Elastic wave propagation and localization in band gap materials:a review

查看全文 作  者:LI [1]FengMing;WANG [1]YiZe 高影响力作者 机构地区:[1]School of Astronautics,Harbin Institute of Technology,P.O.Box 137,Harbin 150001,China高影响力机构 出  处:《Science China(Physics,Mechanics & Astronomy)》索引2012年第55卷第10期,共13页高影响力期刊 基  金:supported by the National Natural Science Foundation of China (Grant Nos. 11002045,11172084,10632020 and 10672017) 摘  要:Band gap materials(i.e.phononic crystals) are the artificially periodic structures,which have the stop band characteristic for elastic waves.The elastic waves will be localized in phononic crystals with defects,which results in the energy being accumulated around the defects.As a result,it is important to analyze the wave propagation and localization in band gap materials,especially for the structures consisting of smart materials.For example,with the mechanical-electro and mechanical-electro-magneto coupling,the phononic crystals consisting of piezoelectric and magnetoelectroelastic materials can be applied widely.This sets the theoretical basis for the design of band gap materials with multi fields coupling.This paper reviews the recent development of the elastic wave propagation and localization in both ordered and disordered band gap materials.The discussion focuses on the stop band and localization characteristics of elastic waves.Analytical methods and important results are also presented.Finally,some problems for further studies are discussed.This work aims to present the basic properties of wave band gaps in phononic crystals and wave localization in disordered periodic structures(e.g.phononic crystals with definite and random defects and phononic quasicrystals). 关 键 词:弹性波传播 带隙材料 波的传播 本地化 声子晶体 周期性结构 晶体缺陷 失谐周期结构
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