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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 354, Pages 132–149 (Mi znsl1648)

This article is cited in 1 paper

Raleigh waves radiated from a point source at the boundary free from tensions

N. Ya. Kirpichnikova

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

Abstract: We consider such solutions of the elastic theory equations that suffer a discontinuity only at the boundary free from tensions (Raleigh waves). We find initial data for the complex intensity of the surface Raleigh waves in the two simple media. The first elastic medium fills in the half-space with Lame parameters and density depending on the depth. The second medium is bounded by a curve determined by natural equation. The parameters of the second medium depend on the arc-length along the curve. Bibl. – 12 titles.

UDC: 517

Received: 19.05.2008


 English version:
Journal of Mathematical Sciences (New York), 2008, 155:3, 409–418

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