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Reflection of plane waves at the free surface of a fibre-reinforced elastic half-space

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Abstract

The propagation of plane waves in fibre-reinforced, anisotropic, elastic media is discussed. The expressions for the phase velocity of quasi-P (qP) and quasi-SV (qSV) waves propagating in a plane containing the reinforcement direction are obtained as functions of the angle between the propagation and reinforcement directions. Closed form expressions for the amplitude ratios for qP and qSV waves reflected at the free surface of a fibre-reinforced, anisotropic, homogeneous, elastic half-space are obtained. These expressions are used to study the variation of amplitude ratios with angle of incidence. It is found that reinforcement has a significant effect on the amplitude ratios and critical angle

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Authors and Affiliations

  1. Department of Mathematics, Government College (M), Sector-11, 160 011, Chandigarh, India

    Baljeet Singh

  2. Department of Mathematics, Maharshi Dayanand University, 124 001, Rohtak, India

    Sarva Jit Singh

Authors
  1. Baljeet Singh
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  2. Sarva Jit Singh
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Singh, B., Singh, S.J. Reflection of plane waves at the free surface of a fibre-reinforced elastic half-space. Sadhana 29, 249–257 (2004). https://doi.org/10.1007/BF02703774

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  • DOI: https://doi.org/10.1007/BF02703774

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