Certain two-punch problems for an elastic layer

This paper examines the normal and tangential indentation problems for two circular punches on the surface of an elastic layer. By using the method proposed for studying offset parallel penny-shaped cracks in an elastic solid, we show that these problems are governed by systems of Fredholm integral equations, which for some special cases, can be solved by iteration. For certain prescribed indentations, asymptotic solutions are presented to illustrate the manner in which the presence of the second punch and thickness of the layer influences the total forces induced on the punches. Copyright 0 1996 Elsevier Science Ltd.