Non-semisimple degeneracy of Lamb waves

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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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A. Karakozova

Moscow State University of Civil Engineering

Email: kuzn-sergey@yandex.ru
俄罗斯联邦, Moscow

S. Kuznetsov

Ishlinski Institute for Problems in Mechanics

编辑信件的主要联系方式.
Email: kuzn-sergey@yandex.ru
俄罗斯联邦, 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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