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IssuesArchive of Issues2020-4pp.482-489

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S.V. Kuznetsov, "Cauchy Formalism in the Theory of Acoustic Surface Waves," Mech. Solids. 55 (4), 482-489 (2020)
Year 2020 Volume 55 Number 4 Pages 482-489
DOI 10.3103/S0025654420040068
Title Cauchy Formalism in the Theory of Acoustic Surface Waves
Author(s) S.V. Kuznetsov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia; Bauman Moscow State Technical University, Moscow, 105005 Russia; Moscow State University Of Civil Engineering (National Research University), Moscow, 129337 Russia, kuzn-sergey@yandex.ru)
Abstract To describe the propagation of acoustic surface waves in an anisotropic layer, a six-dimensional complex formalism is introduced, a Hamiltonian is constructed, an analogue of the Rayleigh dissipative function, and an exponential fundamental matrix. Dispersion equations are obtained for a multilayer plate with different conditions on the boundary surfaces. Examples of the application of the Cauchy formalism to the analysis of the dispersion of Lamb waves are given.
Keywords Cauchy formalism, Hamiltonian formalism, Lamb wave
Received 20 January 2020Revised 10 February 2020Accepted 11 March 2020
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