Guided waves in the multilayered one-dimensional quasi-crystal plates are, respectively, investigated in the context of the Bak and elasto-hydrodynamic models. Dispersion curves and phonon and phason displacements are calculated using the Legendre polynomial method. Wave characteristics in the context of these two models are analyzed in detail. Results show that the phonon–phason coupling effects on the first two layers are the same at low frequencies; but, they are more significant on the first layer than those on the second layer at high frequencies. These obtained results lay the theoretical basis of guided-wave nondestructive test on multilayered quasi-crystal plates.

中文翻译：

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多层一维六角形准晶板中的导波

在Bak模型和弹性流体动力学模型的背景下，分别研究了多层一维准晶体板中的导波。使用勒让德多项式方法计算色散曲线以及声子和声子位移。详细分析了这两种模型中的波浪特征。结果表明，低频时前两层的声子-声子耦合效应相同。但是，在高频下，它们在第一层上比在第二层上更重要。这些结果为多层准晶体板的导波无损检测奠定了理论基础。