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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 332, Pages 163–174 (Mi znsl268)

This article is cited in 1 paper

On one asymmetric wave field in transversely isotropic elastic medium

L. A. Molotkov

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

Abstract: A transversely isotropic homogeneous elastic medium excited by a point force perpendicular to the anisotropic axis is cosidered. The wave field in this medium is constructed and investigated. The fronts of the $SV$ and $SH$ waves are contact with one another at a point. The fronts in the vicinity of this point are investigated in additional. If we consider the $SH$ wave (or the $SV$ wave) separatelly then a false plane front in this region arises. On combined consideration of the $SH$ and $SV$ waves, this false front disappears.

UDC: 550.34

Received: 25.04.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 142:6, 2613–2619

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