Abstract
The dispersion waves propagating in anisotropic functionally graded (FG) plates with arbitrary transverse heterogeneity and arbitrary elastic monoclinic anisotropy are analysed within a recently developed six-dimensional formalism. The dispersion relation is obtained for all modes of dispersive harmonic waves propagating in an unbounded plate.
Highlights
Graded (FG) materials with transverse inhomogeneity can considerably change material acoustic properties
That may result in filtering specific types of acoustic signals at some frequencies [1 – 13]. These properties of wave propagation in Functionally graded (FG) plates are of particular interest in various NDT applications [14 – 16]
Until now there were no closed form analytical solutions for dispersion equations suitable for Lamb waves propagating in FG plates with arbitrary elastic anisotropy and arbitrary transverse inhomogeneity
Summary
Graded (FG) materials with transverse inhomogeneity can considerably change material acoustic properties. That may result in filtering specific types of acoustic signals at some frequencies [1 – 13]. These properties of wave propagation in FG plates are of particular interest in various NDT applications [14 – 16]. Until now there were no closed form analytical solutions for dispersion equations suitable for Lamb waves propagating in FG plates with arbitrary elastic (monoclinic) anisotropy and arbitrary transverse inhomogeneity. The developed methodology relies on a previously developed six-dimensional formalism, known as Cauchy formalism [17 – 21] for deriving the dispersion equations for stratified plates or stratified halfplanes with homogeneous anisotropic layers of arbitrary elastic monoclinic anisotropy and the transverse inhomogeneity. It is assumed that within the particular layer the inhomogeneity is continuously differentiable with respect to the transverse variable
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