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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 369, Pages 5–15 (Mi znsl3518)

This article is cited in 2 papers

The diffraction of a plane wave by a slippery elastic wedge

V. M. Babicha, A. A. Matskovskiyb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: The diffraction of a plane elastic wave by a slippery wedge is considered. By slippery wedge we mean the wedge with zero tangent tension and normal component of the displacement vector on it's boundary. It is known, that it is possible to write an explicit solution of this task. We find the Sommerfeld representation of the solution in this paper. Bibl. – 6 titles.

Key words and phrases: wedge, Sommerfield, diffraction, elastic, slippery, difference equations, plane wave.

UDC: 517

Received: 06.11.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 167:5, 597–602

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© Steklov Math. Inst. of RAS, 2024