Traction and contact problems for an anisotropic medium with a cylindrical borehole

General solutions for axisymmetric displacements and stresses of a transversely isotropic annular cylinder of infmite length are derived by using Fourier integral transforms. These general solutions are used to solve boundary-value problems corresponding to radial and tangential tractions applied over a finite segment of the surface of a cylindrical borehole in an infinite medium. Contact problems involving a rigid cylinder with a radial misfit and a rigid cylinder subjected to an axial load are analysed by numerically solving the governing integral equations. The accuracy of present solutions is cotirmed by comparison with the solutions reported by Pames [( 1993) Applied tractions on the surface of an infinite cylindrical bore. ht. J. Solids Structures 19,165-l 771 for radial tractions applied to a borehole in an isotropic medium. Selected numerical results for displacements and stresses are presented to portray the iniluenoe of material anisotropy, type of loading and the aspect ratio of a rigid cylinder on the elastic fields. It is found that the axial stiffness of a rigid cylinder bonded to a borehole can be used to approximate the stiffness of a rigid cylinder in an elastic half space. The relevance of present analysis to the solution of problems encountered in geomechanics and mechanics of composite materials is discussed. Copyright 0 1996 Elsevier Science Ltd.