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Sharply Directed Propagation of Love-Type Surface Waves

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Part of the Seminars in Mathematics book series (SM, volume 9)

Abstract

In this paper we construct displacement vectors u =expiω) (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

  1. 1.
    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).Google Scholar
  2. 2.
    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).Google Scholar

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© Consultants Bureau, New York 1970

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