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Propagation of Elastic Waves in Prestressed Media

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  • Inder Singh
  • Dinesh Kumar Madan
  • Manish Gupta

Abstract

3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.

Suggested Citation

  • Inder Singh & Dinesh Kumar Madan & Manish Gupta, 2010. "Propagation of Elastic Waves in Prestressed Media," Journal of Applied Mathematics, Hindawi, vol. 2010, pages 1-11, December.
    • Handle: RePEc:hin:jnljam:817680
    DOI: 10.1155/2010/817680
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