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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 369, Pages 110–126 (Mi znsl3523)

This article is cited in 1 paper

Investigation of low frequency normal waves in Biot layer surrounded by an elastic medium

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The porous Biot layer surrounded by two elastic half-plates is considered. For this medium, two dispersion equations are established. These dispersion equations correspond to symmetric and antisymmetric parts of the medium. The investigation of these equations is fulfilled in region of low frequencies. The imaginary roots of these equations in this region determine the low frequency normal waves. Bibl. – 6 titles.

Key words and phrases: low frequency normal waves, porous Biot layer, plate waves, elastic surrounding medium.

UDC: 550.24

Received: 22.06.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 167:5, 660–669

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© Steklov Math. Inst. of RAS, 2024