Abnormal dispersion of flexural Lamb waves in functionally graded plates

被引：0
|
作者：
Sergey V. Kuznetsov
机构：
[1] Institute for Problems in Mechanics RAS,
[2] Bauman Moscow State Technical University,undefined
[3] Moscow State University of Civil Engineering,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2019年 / 70卷
关键词：
Lamb wave; Functionally graded plate; Dispersion; Transverse inhomogeneity; 74J15;
D O I：
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学科分类号：
摘要：
A closed-form dispersion equation for Lamb waves is obtained for analyzing dispersion in functionally graded (FG) plates with arbitrary anisotropy and arbitrary transverse inhomogeneity. The dispersion equation is derived and analyzed by a variant of the sextic formalism, previously developed for Lamb waves propagating in anisotropic layered plates with homogeneous layers. For the case of FG plates with transverse asymmetric inhomogeneity, some peculiarities in dispersion of the fundamental flexural Lamb mode are observed, revealing discrepancy in asymptotic behavior at high frequencies between homogeneous and FG isotropic plates.
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