Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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


For citation:

Kaplunov J. D., Kossovich E. L., Mukhomodyarov R. R., Sorokina O. V. Explicit Models for Flexural Edge and Interfacial Waves in Thin Isotropic Plates. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 1, pp. 56-63. DOI: 10.18500/1816-9791-2013-13-1-1-56-63, EDN: SMXXJJ

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
15.02.2013
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Russian
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UDC: 
534.121.1
EDN: 
SMXXJJ

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

Autors: 
Kaplunov Julius Davidovich, Keele University
Kossovich Elena Leonidovna, Saratov State University
Mukhomodyarov Rinat Ravilyevich, Saratov State University
Sorokina Olga Valentinovna, Saratov State University
Abstract: 

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.

References: 
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Received: 
11.08.2012
Accepted: 
10.01.2013
Published: 
15.02.2013