Propagation of harmonic Lamb waves in plates made of functionally graded materials (FGM) with transverse inhomogeneity is studied by combination of the Cauchy six-dimensional formalism and matrix exponential mapping. For arbitrary transverse inhomogeneity a closed form implicit solution for dispersion equation is derived and analyzed. Both the dispersion equation and the corresponding solution resemble ones obtained for stratified media. The dispersion equation and the corresponding solution are applicable to media with arbitrary elastic (monoclinic) anisotropy.

中文翻译：

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各向异性功能梯度板中的兰姆波：一种封闭形式的分散解决方案

通过柯西六维形式主义和矩阵指数映射的组合，研究了谐波兰姆波在由具有横向不均匀性的功能梯度材料 (FGM) 制成的板中的传播。对于任意横向不均匀性，推导出并分析色散方程的封闭形式隐式解。色散方程和相应的解都类似于为分层介质获得的解。色散方程和相应的解适用于具有任意弹性（单斜）各向异性的介质。