3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.
Inder Singh. Dinesh Kumar Madan. Manish Gupta. "Propagation of Elastic Waves in Prestressed Media." J. Appl. Math. 2010 1 - 11, 2010. https://doi.org/10.1155/2010/817680