Long-Wave Asymptotics of Lamb Waves


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Abstract

The six-dimensional complex formalism is used to obtain equations for determining long-wave asymptotics of symmetric fundamental modes of Lamb waves in an anisotropic layer. Analytic expressions are obtained for long-wave asymptotics of phase velocities of Lamb waves propagating in an isotropic layer.

About the authors

R. V. Goldstein

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University

Author for correspondence.
Email: goldst@ipmnet.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526; ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005

S. V. Kuznetsov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University

Email: goldst@ipmnet.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526; ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005

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