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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 380, Pages 53–89 (Mi znsl3846)

This article is cited in 1 paper

Surface layer method for far filed diffractions of SV surface waves

N. Ya. Kirpichnikovaa, A. S. Kirpichnikovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b School of Mathematics & Statistics, University of Glasgow, Glasgow, UK

Abstract: We investigate SV polarized wave field in the elastic gradient layer of constant width. A point source is situated at the boundary of the layer. We assume the rigid contact conditions are valid at the boundary between the layer and elastic half-space. We show that the interference field in the main approximation far from the source does not depend on the relation between phase velocity and transversal and longitudinal velocities in the half-space. Bibl. 11 titles.

Key words and phrases: boundary surface layer, asymptotic, propagation waves, elastic media, function Airy.

UDC: 517.9

Received: 05.07.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 175:6, 651–671

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