Journal of Mathematical Sciences

, Volume 70, Issue 5, pp 1978–1984 | Cite as

The motion of a rigid spherical inclusion in an elastic medium under the action of plane waves

  • I. V. Lebedeva
Oscillations and Waves

Abstract

Two problems on the motion of a rigid spherical inclusion in an elastic medium under the action of a nonstationary, longitudinal, plane, compressional wave and a harmonic shear wave are considered. Using the method of vector eigenfunctions and the integral Laplace transform with respect to time their precise solutions are constructed. Numerical results are given which illustrate the dependence of characteristics of motion of the inclusion on parameters of the falling wave.

Keywords

Shear Wave Compressional Wave Plane Wave Elastic Medium Spherical Inclusion 

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Literature cited

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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • I. V. Lebedeva
    • 1
  1. 1.Kiev UniversityUSSR

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