Modeling of Lamb wave propagation in plate with two-dimensional phononic crystal layer coated on uniform substrate using plane-wave-expansion method

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• 作者：Zhilin Hou ; Badreddine M. Assouar
• 关键词：Phononic crystal ; Lamb wave ; Plane-wave-expansion method
• 刊名：Physics Letters A
• 出版年：2008
• 出版时间：17 March 2008
• 年：2008
• 卷：372
• 期：12
• 页码：2091-2097
• 全文大小：530 K

文摘

We show that the conversional three-dimensional plane wave expansion method can be revised to investigate the lamb wave propagation in the plate with two-dimensional phononic crystal layer coated on uniform substrate. We find that an imaginary three-dimensional periodic system can be constructed by stacking the studied plates and vacuum layers alternately, and then the Fourier series expansion can be performed. The difference between our imaginary periodic system and the true three-dimensional one is that, in our system, the Bloch feature of the wave along the thickness direction is broken. Three different systems are investigated by the proposed method as examples. The principle and reliability of the method are also discussed.