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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 86–102
(Mi znsl3767)
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This article is cited in 7 scientific papers (total in 7 papers)
Behavior of surface waves at transition through a junction line on the boundary of an elastic homogenous isotropic body
N. Ya. Kirpichnikova, V. B. Philippov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
A homogeneous elastic body with stress-free boundary is considered. The boundary of the body, which consists of a smooth cylindrical surface and a half-plane, has a continuous tangent plane, but the curvature of the normal section of the boundary has a discontinuity of the first kind at each point of the junction line.
The behavior of two kinds of “whispering gallery” transversal surface waves at transition through the junction line is studied. For waves of the first kind (corresponding to Dirichlet boundary conditions), the displacement vector is normal to the boundary, whereas for waves of the second kind (corresponding to Neumann boundary conditions) the displacement vector is tangent to the boundary and normal to the ray, similarly to the case of Love waves. Bibl. 4 titles.
Received: 10.09.1995
Citation:
N. Ya. Kirpichnikova, V. B. Philippov, “Behavior of surface waves at transition through a junction line on the boundary of an elastic homogenous isotropic body”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 86–102; J. Math. Sci. (New York), 91:2 (1998), 2757–2767
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https://www.mathnet.ru/eng/znsl3767 https://www.mathnet.ru/eng/znsl/v230/p86
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