Stresses produced in an infinite elastic plate by the application of loads travelling with uniform velocity along the bounding surfaces

Abstract

Using Fourier integrals, a quasi-steady solution is obtained to the title problem where the direction of motion, shape and size of the loading distribution do not vary with time. The loads are, moreover, assumed equally applied to both surfaces in such a way that the motion takes place in two dimensions. A numerical example is considered where the applied loading is distributed discontinuously according to a step function and is travelling with a velocity not greater than that of the shear wave. The corresponding solution for plane stress is obtained by changing the value of one of the elastic constants and it is then an aid in the study of further problems such as the rapidly moving crack.