Multidimensional contact moduli of elastically anisotropic solids

Effective moduli of elastically anisotropic solids under normal and tangential contacts are derived using the Stroh formalism and the two-dimensional Fourier transform. Each Fourier component corresponds to a plane field in the plane spanned by the surface normal and a wavevector, the solution of which only involves an algebraic eigenvalue problem. Exact solutions are obtained for indenters described by parabolae of revolution, which are found to be a good approximation for arbitrary axisymmetric indenters.