Adhesive contact problem for transversely isotropic elastic half-space

The problem of adhesive contact for a transversely isotropic elastic half-space is considered. The problem is reduced to the solution of two coupled integral equations, and these are solved exactly. Explicit expressions are found for the contact compliance and for coefficients which characterise the singularities of contact stresses at the boundary of the contact region. The numerical results presented for some anisotropic materials show that the influence of anisotropy on the analysed mechanical quantities is significant.