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Sadhana

, Volume 27, Issue 6, pp 613–630 | Cite as

Reflection of quasi-P and quasi-SV waves at the free and rigid boundaries of a fibre-reinforced medium

  • A. Chattopadhyay
  • R. L. K. Venkateswarlu
  • S. Saha
Article

Abstract

The propagation of plane waves in fibre-reinforced media is discussed. The expressions of phase velocities of quasi-P (qP) and quasi-SV (qSV) waves propagating in plane symmetry are obtained in terms of propagation vectors. We have established a relation from which the displacement vector can be obtained in terms of the propagation vector. Expressions for the reflection coefficients of qP and qSV waves are obtained. Numerical results of reflection coefficients are obtained and presented graphically. The partition of energy between qP and qSV waves reflected on free and rigid boundaries due to incident qP and qSV waves are also obtained and presented graphically.

Keywords

Reflection of waves quasi-P waves quasi-SV waves quasi-SH waves fibre-reinforced media reflection coefficients 

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Copyright information

© Indian Academy of Sciences 2002

Authors and Affiliations

  • A. Chattopadhyay
    • 1
  • R. L. K. Venkateswarlu
    • 1
  • S. Saha
    • 1
  1. 1.Department of Applied MathematicsIndian School of MinesDhanbadIndia

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