NUMERICAL STUDY OF NONLINEAR ELASTIC BEHAVIOR OF STRUCTURALLY INHOMOGENEOUS-MEDIA

Nonlinear elastic properties of structurally inhomogeneous media are investigated in numerical experiment. For these media to be simulated, the lattices of masses (sites), connected by nonlinear springs, are used. For the cases of 2D triangular and 3D fcc lattices, the dependence of linear and nonlinear elastic modules and nonlinearity parameters of second-and third orders on the number of defects (absent sites) is obtained. Scaling behaviour of nonlinear elastic modules is studied in the vicinity of percolation threshold (i.e. near the point, where all elastic modules vanish).