Transient groundmotion in an elastic homogeneous halfspace to blasting loading

A closed-form transient solution to blasting loading is presented. The blasting loading is modelled as a finite sheet dilatational source, rather than a finite line, so that the dimensions of the explosives are taken into account in two directions, i.e. one in the horizontal direction and the other in the vertical direction. The solution is obtained by using Laplace transform, with respect to the time, and Fourier transform with respect to the coordinates. Inverse Laplace transform is implemented analytically. The final solution is expressed in double integral form. The solution can be used to determine groundmotion in studying blasting impacts on underground or aboveground structures.