Abstract
This paper is concerned with the contact problem of an elastic half-space subjected to torsional moment by a rigid elliptical punch. It is assumed that the contact is completely adhesive and that the normal pressure within the contact region cannot be neglected. This problem is equivalent to a mixed boundary value problem in which the displacements are specified inside the elliptical region and the surface stresses are specified and zero outside. The problem is reduced to solving simultaneous integral equations with kernels involving Bessel functions of the first kind of integer orders. It is further reduced to solving the Hilbert problem with infinite unknown functions by using the generalized Abel transform and the Plemelj formulae. A general method for solving the problem is shown. Numerical results for contact stresses and surface displacements are shown in graphical form for various aspect ratios of the ellipse.
