A method for the response of an elastic half-space to moving sub-Rayleigh point loads

This paper presents the steady-state displacements and stresses in elastic half-space generated by a surface point load moving with constant speed parallel to the free surface of the half-space. The basic equations are solved by means of integral transforms, resulting in double fold integrals. A numerical technique is proposed to calculate the inner fold integral in wave number domain based on the method of steepest descent, and the time domain responses are obtained by Fourier synthesis over another wavenumber domain. Numerical results for displacement and stress components on the surface and within the half-space are presented for applied surface point loads with various subsonic speeds.