Abstract
The plane contact problem for an elastic layer bonded to a rigid support on its top surface is considered according to the theory of elasticity. The layer is subjected to a concentrated load at its bottom surface by means of a rigid stamp. Profile of the rigid stamp is taken in the form as circular, parabolic and rectangular. It is assumed that the contact between the layer and the stamp is frictionless and that only compressive normal tractions can be transmitted through the interface. The problem is formulated in terms of a singular integral equation. Numerical results for various dimensionless quantities are presented and discussed.