Mathematical models of array dynamics in the vicinity of extended underground structures at the action of moving loadings Original Research Article

To simulate media dynamics in the vicinities of tunnels of deep dispositions by the dynamic disturbances of different nature, the stationary boundary value problems of elastodynamics in cylindrical domains are considered when their boundaries are subjected to the action of loads running at constant speed. There are three kinds of loads running at subsonic, transonic or supersonic speed. Fundamental solutions and boundary integral equations are constructed for all these cases in terms of distribution theory.