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R. W. Ogden and D. Sotirropoulos, “Reflection of Plane Waves from the Boundary of a Pre-Stressed Compressi ble Elastic Half-Space,” IMA Journal of Applied Mathe matics, Vol. 61, No. 1, 1998, pp. 61-90. doi:10.1093/imamat/61.1.61

has been cited by the following article:

• TITLE: Effect of Rotation, Magnetic Field and Initial Stresses on Propagation of Plane Waves in Transversely Isotropic Dissipative Half Space

  AUTHORS: Sushant Shekhar, Imtiyaz A. Parvez

  KEYWORDS: Magnetic Field; Initial Stress; Rotation; Reflection of Plane Waves; Reflection Coefficients; Energy Ratios

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8A, July 25, 2013

  ABSTRACT: The problem regarding the reflection of plane waves in a transversely isotropic dissipative medium is considered, in which we are studying about the reflection of incidence waves in initially stressed dissipative half space. After solving the governing equations, we find the two complex quasi-P (qP) and quasi-SV (qSV) waves. The occurrence of reflected waves is studied to calculate the reflection coefficient and the energy partition of incidence wave at the plane boundary of the dissipative medium. Numerical example is considered for the reflection coefficient and the partition of incident energy, in which we study about the effect of rotation, initial stresses and magnetic field.