Three dimensional axisymmetric responses of exponentially graded transversely isotropic tri-materials under interfacial loading

With the aid of Hankel transform and using a potential function, an analytical formulation is presented for the study of an exponentially graded transversely isotropic tri-material under applied axisymmetric point-load and patch-load. The given formulation is shown to be reducible to the special cases of inhomogeneous finite layer on the rigid base, exponentially graded bi-material or half-space under applied buried loads and homogeneous tri-material or bi-material solid. By means of a fast and accurate numerical method, several numerical solutions are given for the explanation of inhomogeneity effect on the stress transfer process in a inhomogeneous tri-material solid.