Analytic solution for the indentation of a transversely isotropic elastic layer bonded to a rigid foundation

The analytical solution for a transversely isotropic linear elastic layer bonded to a rigid foundation and indented by a rigid cylinder or sphere was developed. This solution follows procedures used by others to solve contact problems of linear anisotropic materials. The solution can be used to find the stress distribution and the displacement field in anisotropic layers like articular cartilage. The solution was used to compare stresses and displacements in articular cartilage assuming two sets of engineering properties with different degrees of anisotropy. The results may support current research about the relation between impact loading on the articular cartilage and the development of osteoarthrosis.