Flexibility of a Contact Area of an Isotropic Elastic Body

From Cerruti’s solution to the problem of the plane and Cattaneo’s traction distributions, instantaneous and secant flexibilities are derived for an elliptical contact area which includes a region of slip. The results apply to force histories where the tangential component is constantly directed. Some of the results differ from those reported by Mindlin and Deresiewicz [4]. Ellipticity affects normal and tangential flexibilities differently but is independent of the extent of slip.