Lamb waves in stratified and functionally graded plates: discrepancy, similarity, and convergence

ABSTRACT

Dispersion of Lamb waves propagating in stratified and functionally graded (FG) plates is analyzed by a newly developed variant of Cauchy sextic formalism. Comparative analysis of Lamb wave dispersion in stratified, FG, and homogenized plates reveals a substantial discrepancy in dispersion properties of the studied media, making the use of homogenization techniques almost meaningless, with the only exception at the limiting phase velocity that corresponds to vanishing frequency. At the same time, dispersion curves in the stratified plates converge to the corresponding curves in the FG plate at the increasing number of the stratification layers.

KEYWORDS:

• Lamb waves
• polarization
• dispersion
• spectral analysis
• stratified media

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

The author thanks the RFBR [Grants 17-08-00311, 18-58-4100, 19-01-00100] and the Russian Academy of Sciences Presidium Programs for their partial financial support.