Abstract

Dispersion analysis of Lamb waves propagating in stratified plates containing a large number ($$>50$$) of layers with alternating contrast physical properties is done by applying Cauchy sextic formalism coupled with the exponential fundamental matrix method Kuznetsov (Acoust Phys 60:95, 2014); Kuznetsov (Z Angew Math Phys 70(89):1, 2019); Kuznetsov (Wave Motion 84:1–7, 2019). This approach is suitable for analyzing dispersion properties of Lamb waves at a broad frequency range. In case of the stratified plates, several interesting phenomena relating to dispersion curves of Lamb waves are observed, revealing substantial discrepancy comparing with the homogeneous plates.

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