Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Kaplunov J. D., Kossovich E. L., Mukhomodyarov R. R., Sorokina O. V. Explicit Models for Flexural Edge and Interfacial Waves in Thin Isotropic Plates. Izv. Sarat. Univ. Math. Mech. Inform., 2013, vol. 13, iss. 1, pp. 56-63. DOI: 10.18500/1816-9791-2013-13-1-1-56-63

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Explicit Models for Flexural Edge and Interfacial Waves in Thin Isotropic Plates

Kaplunov Julius Davidovich, Brunel University
Kossovich Elena Leonidovna, Saratov State University
Mukhomodyarov Rinat Ravilyevich, Saratov State University
Sorokina Olga Valentinovna, Saratov State University

Exact solutions for problems of vibrations of isotropic thin elastic plates are presented in the work. Some basic principles of explicit dual parabolic-elliptic models for flexural edge and interfacial waves propagation are revealed. The obtained explicit models extract the contribution of the flexural wave into the full dynamic response. Also, these models reveal a dual parabolic-elliptic nature of the flexural edge and interfacial waves.

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