TITLE:
Reflection of Plane Waves from a Free Surface of an Initially Stressed Transversely Isotropic Dissipative Medium
AUTHORS:
Baljeet Singh, Jyoti Arora
KEYWORDS:
Transversely Isotropic, Dissipative Medium, Initial Stress, Plane Waves, Reflection, Reflection Coefficients
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.9,
September
19,
2011
ABSTRACT: The governing equations of a transversely isotropic dissipative medium are solved analytically to obtain the speeds of plane waves. The appropriate solutions satisfy the required boundary conditions at the stress-free surface to obtain the expressions of the reflection coefficients of reflected quasi-P (qP) and quasi-SV (qSV) waves in closed form for the incidence of qP and qSV waves. A particular model is chosen for numerical computation of these reflection coefficients for a certain range of the angle of incidence. The numerical values of these reflection coefficients are shown graphically against the angle of incidence for different values of initial stress parameter. The impact of initial stress parameter on the reflection coefficients is observed significantly.