A contact model using semi analytic methods, relying on elementary analytic solutions, has been developed. It is based on numeric techniques adapted to contact mechanics, with strong potential for inelastic, inhomogeneous or anisotropic problems. Recent developments aim to quantify displacements and stresses of an anisotropic material which is in contact with another anisotropic material. The influence of symmetry axes on the contact problem solution will be more specifically analyzed.