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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 354, Pages 173–189 (Mi znsl1651)

This article is cited in 6 papers

Wave propagation in an isolated porous Biot layer with closed pores on the boundaries

L. A. Molotkov

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

Abstract: On the boundaries of this isolated porous Biot layer, the total stresses and normal relative displacement are equal to zero. For this layer, the symmetric and antisymmetric dispersion equations are established and investigated. The wave field consists of normal waves. In this layer one bend wave, two plate waves, and infinitely many normal waves propagate. For all these waves, we determine by analytical methods dispersion curves. The velocities of the bend wave and of the second plate wave for the infinite frequency are equal to the Rayleigh velocity. Bibl. – 7 titles, fig. – 3.

UDC: 550.24

Received: 28.04.2008


 English version:
Journal of Mathematical Sciences (New York), 2008, 155:3, 432–441

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© Steklov Math. Inst. of RAS, 2024