Steady solutions for a moving load on an elastic strip resting on an elastic half plane

Abstract An infinite elastic strip rests under gravity on a smooth elastic half plane. The strip is loaded by a steadily moving concentrated force which produces a partial separation of the layer from the foundation. Using the plane strain theory of elasticity, the resulting nonsymmetric mixed boundary value problem is reduced to singular integral equations over the unknown noncontact regions. For various material combinations and a range of force and speed, the location of the noncontact regions, the lower boundary displacements, and the foundation contact pressure are computed. Results for the corresponding problem with a stationary load are also given.