Dynamics of a system comprising a pre-stressed layer and half-plane under the action of an point located moving load

This paper investigates the 3D dynamical response to a time-harmonic oscillating moving load of a system comprising a pre-stressed covering layer and a pre-stressed half-space, within the scope of the piecewise-homogeneous body model by utilizing the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies (TDLTEWISB).The materials of the covering layer and half-space are assumed to be homogeneous and isotropic. It is also assumed that perfect contact conditions between the constituents of the system under consideration are satisfied. The analytical solution method, employing double exponential Fourier integral transformation with respect to the space coordinates, and the algorithm for obtaining the numerical results for the originals of the sought values are developed and employed.Numerical results for the critical velocity and for the stress distribution on the interface plane are presented and discussed. In particular, it is established that the minimal value of the critical velocity obtained for the 3D problem coincides with the critical velocity obtained for the corresponding two-dimensional (plane-strain state) problem.