Interaction of a moving elastic stamp with an elastic half-plane through a stiffen er oe a thin ideal fluid layer

Abstract

There are considered two contact problems for an elastic half-plane (plane strain case),1) reinforced along its whole boundary by a thin elastic stiffener (stringer), and 2) coated by a thin ideal incompressible fluid layer. It is assumed that the stamp is impressed into the stiffener boundary or the fluid layer and moves at a constant velocity along this boundary. We neglect friction forces in the contact domain, and mass forces. By using a Fourier integral transformation, the problems are reduced to integral equations of the first kind with singular difference kernels. The structure of the solution of these equations is investigated. Asymptotic methods are used to construct the approximate solutions.