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

被引:81
作者
Singh, B [1 ]
Singh, SJ
机构
[1] Govt Coll M, Dept Math, Sector 11, Chandigarh 160011, India
[2] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
来源
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES | 2004年 / 29卷 / 3期
关键词
anisotropic medium; fibre-reinforced medium; half-space; phase velocity; reflection;
D O I
10.1007/BF02703774
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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.
引用
收藏
页码:249 / 257
页数:9
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