Mechanics of disordered solids. I. Percolation on elastic networks with central forces.

Bond and site percolation on two- and three-dimensional elastic and superelastic percolation networks with central forces are studied using large-scale Monte Carlo simulations and finite-size scaling analysis. A highly accurate method of estimating the elastic percolation threshold p ce is proposed. For bond percolation (BP) on a triangular network we find p ce ≃0.641±0.001, for site percolation (SP), p ce ≃0.713±0.002, and for BP on a bcc network we obtain, p ce ≃0.737±0.002