Abstract
In this paper we construct displacement vectors u =exp [ iω) (t-τ)] φ (τ ,α, ν, ω), which asymptotically (for ω→ ∞) satisfy the equations of the theory of elasticity and the condition of absence of stresses on the boundary S of an arbitrary elastic body and which are concentrated in a neighborhood of a ray Z on S. The vector φ is constructed by the parabolic-equation method.
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Literature Cited
Babich, V. M., andLazutkin, V. F. Eigenfunctions concentrated near a closed geodesic, in: Topics in Mathematical Physics, Vol. 2 , M Sh. Birman, ed., Consultants Bureau, New York, (1968).
Babich, V. M., and Molotkov, I. A., Propagation of Love waves in an elastic half space which is inhomogeneous with respect to two coordinates, Izv. Akad. Nauk SSSR, Fizika Zemli, Vol. 6 (1966).
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© 1970 Consultants Bureau, New York
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Astrakhantsev, G.P. (1970). Sharply Directed Propagation of Love-Type Surface Waves. In: Babich, V.M. (eds) Mathematical Problems in Wave Propagation Theory. Seminars in Mathematics, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0334-4_1
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DOI: https://doi.org/10.1007/978-1-4757-0334-4_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0336-8
Online ISBN: 978-1-4757-0334-4
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