Behavior of surface waves at transition through a~junction line on the boundary of an elastic homogenous isotropic body
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 86-102
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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.
@article{ZNSL_1995_230_a7,
author = {N. Ya. Kirpichnikova and V. B. Philippov},
title = {Behavior of surface waves at transition through a~junction line on the boundary of an elastic homogenous isotropic body},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {86--102},
publisher = {mathdoc},
volume = {230},
year = {1995},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a7/}
}
TY - JOUR AU - N. Ya. Kirpichnikova AU - V. B. Philippov TI - Behavior of surface waves at transition through a~junction line on the boundary of an elastic homogenous isotropic body JO - Zapiski Nauchnykh Seminarov POMI PY - 1995 SP - 86 EP - 102 VL - 230 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a7/ LA - ru ID - ZNSL_1995_230_a7 ER -
%0 Journal Article %A N. Ya. Kirpichnikova %A V. B. Philippov %T Behavior of surface waves at transition through a~junction line on the boundary of an elastic homogenous isotropic body %J Zapiski Nauchnykh Seminarov POMI %D 1995 %P 86-102 %V 230 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a7/ %G ru %F ZNSL_1995_230_a7
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. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 86-102. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a7/