Elastic properties of an inhomogeneously diluted isotropic medium

We have investigated the elastic properties of an inhomogeneously diluted isotropic medium described by means of a triangular network whose nearest-neighbor nodes interact through a central-force Hamiltonian, and its constitutents are removed with a probability that decreases with their distance to a given point. This model interpolates between the case of homogeneously distributed voids (percolation) and that of voids concentrated at the central zone of the system. The percolation transition in the inhomogeneous case is analyzed, and the results are interpreted on simple grounds.