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M. M. Selim and M. K. Ahmed, “Propagation and Atte- Nuation of Seismic Body Waves in Dissipative Medium under Initial and Couple Stresses,” Applied Mathematics and Computation, Vol. 182, No. 2, 2006, pp. 1064-1074.

has been cited by the following article:

• 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.