International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 11, Pages 685-694
doi:10.1155/S0161171201005415
Reflection and transmission of elastic waves at viscous liquid/micropolar elastic solid interface
1Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, Haryana, India
2Mathematics Department, Panjab University, Chandigarh 160 014, India
Received 16 March 1999
Copyright © 2001 Rajneesh Kumar and Sushil K. Tomar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Amplitude ratios of various reflected and transmitted elastic waves from a plane interface separating a viscous liquid half-space and a micropolar elastic solid half-space, are obtained in two cases (i) when longitudinal wave propagating through the solid half-space is made incident at the interface and (ii) when “coupled-wave” propagating through the solid half-space is made incident at the interface. These amplitude ratios have been computed numerically for a specific model and results obtained are presented graphically. It is found that these amplitude ratios depend on the angle of incidence of the incident wave and
the effect of viscosity of the liquid on amplitude ratios is noticed. The problem studied by Tomar and Kumar (1995) has been reduced as a special case of our problem.