A closed-form dispersion equation for Lamb waves propagating in functionally graded (FG) plates with arbitrary varying anisotropic physical properties in transverse direction is constructed by applying Cauchy sextic formalism. Comparative analyses of the dispersion curves related to the fundamental modes of homogeneous and FG plates reveal their substantial and visually detected differences even at sufficiently small transverse inhomogeneity. The observed discrepancy in dispersion curves may serve for developing acoustic nondestructive methods for determination of possible transverse inhomogeneity.

中文翻译：

---

FG板中基本Lamb模的异常分散：II-对称与不对称变化

通过应用柯西的性别形式主义，构造了一个Lamb波在函数梯度（FG）板中传播的闭合形式的弥散方程，该函数梯度板在横向上具有任意变化的各向异性物理特性。与均匀板和FG板的基本模式有关的色散曲线的比较分析显示，即使在足够小的横向不均匀性下，它们的显着差异也可以通过肉眼观察到。色散曲线中观察到的差异可用于开发声学非破坏性方法，以确定可能的横向不均匀性。