Reflection of plane waves at the free surface of a fibre-reinforced elastic half-space |
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Authors: | Baljeet Singh Sarva Jit Singh |
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Affiliation: | (1) Department of Mathematics, Government College (M), Sector-11, 160 011 Chandigarh, India;(2) Department of Mathematics, Maharshi Dayanand University, 124 001 Rohtak, India |
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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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Keywords: | Anisotropic medium fibre-reinforced medium half-space phase velocity reflection |
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