Non-semisimple degeneracy of Lamb waves

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Abstract

Anomalous guided waves appearing at a non-semisimple degeneracy of the fundamental matrix are observed and analysed in the framework of the Cauchy sextic formalism. The non-semisimple degeneracy condition is explicitly constructed for the most general case of Lamb waves propagating in a traction-free layer with arbitrary elastic anisotropy. A new type of dispersion equation and the corresponding dispersion solution are obtained. The connection with surface waves of the non-Rayleigh type is discussed.

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About the authors

A. I. Karakozova

Moscow State University of Civil Engineering

Email: kuzn-sergey@yandex.ru
Russian Federation, Moscow

S. V. Kuznetsov

Ishlinski Institute for Problems in Mechanics

Author for correspondence.
Email: kuzn-sergey@yandex.ru
Russian Federation, Moscow

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2. Fig. 1. Half-space; n is the wave vector; ν is the unit normal to the free boundary

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3. Fig. 2. Homogeneous anisotropic layer with free boundaries of thickness 2h

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