Wave band gaps in two-dimensional piezoelectric/piezomagnetic phononic crystals

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• 作者：Yi-Ze Wang ; Feng-Ming Li ; Wen-Hu Huang ; Xiaoai Jiang ; Yue-Sheng Wang ; Kikuo Kishimoto
• 关键词：Phononic crystal ; Piezoelectricity ; Piezomagneticity ; Plane-wave expansion method ; Band gap
• 刊名：International Journal of Solids and Structures
• 出版年：2008
• 期刊代码：93_00207683
• 类别：et
• 出版时间：July 2008
• 卷：45
• 期：14-15
• 页码：4203-4210
• 文件大小：526 K

摘要

In this paper, the elastic wave propagation in phononic crystals with piezoelectric and piezomagnetic inclusions is investigated taking the magneto-electro-elastic coupling into account. The electric and magnetic fields are approximated as quasi-static. The band structures of three kinds of piezoelectric/piezomagnetic phononic crystals—CoFe₂O₄/quartz, BaTiO₃/CoFe₂O₄ and BaTiO₃–CoFe₂O₄/polymer periodic composites are calculated using the plane-wave expansion method. The piezoelectric and piezomagnetic effects on the band structures are analyzed. The numerical results show that in CoFe₂O₄/quartz structures, only one narrow band gap exists along the Γ–X direction for the coupling of xy-mode and z-mode for the filling fraction f being 0.4; while in BaTiO₃/CoFe₂O₄ composites, only one narrow band gap exists along the Γ–X direction forxy-mode and no band gap exists for z-mode as the filling friction f is 0.5. Moreover, for the new type of magneto-electro-elastic phononic crystal—BaTiO₃–CoFe₂O₄/polymer periodic composite, the band gap characteristics are more superior in the whole considered frequency regions due to the big contrast of the material properties in the two constituents and the effects of the piezoelectricity and piezomagneticity on the band gap structures are remarkable.