Impact of a hard cylinder with flat surface on the elastic layer

Abstract

Here author investigates the stressstrain states of an elastic layer engaged in impact with a hard cylinder with flat surface. The initial contact proceeds by that flat surface. We consider the contact problem with a dynamically changing contact zone. We use the same approach as in [2,3], which is based on the reduction of the basic dynamical equations of the system stamp-layer to an infinite system of Volterra integral equations of the second kind. This approach sets the stage for the efficient numerical analysis of the problem and for reliably determining the quantitative dynamical and kinematic characteristic describing the collision process as functions of the initial impact velocity and the parameters of the elastic layer.