Action of a shear stress pulse on the surface of a viscoelastic anisotropic half-space

The boundary value problem of the behavior of a viscoelastic half-space subjected to a surface shear stress pulse is solved in the linear formulation on the basis of dynamical correspondence principle. The medium occupying the half-space possesses the property of transverse isotropy. The exact solution of the problem is obtained using integral transforms. The solution is analyzed with reference to a Maxwell-Voigt model.Moscow Region. Translated from Mekhanika Polimerov, No. 5, pp. 933–937, September–October, 1969.