Experimental study of the elastic properties of a triangular percolation network
Alain Gilabert, M.R. Benayad, Stéphane Roux, E. Guyon · Journal de physique · 1988
We report on the experimental study of the elastic properties of a triangular lattice consisting of bonds free to rotate around their junctions, and where a fraction q of bonds are removed at random. For 0 < q < qr = 0.33 ± 0.04, the elastic-modulus decrease can be very well described by a self-consistent approximation. (The critical behavior is out of reach experimentally). Between qr and the percolation threshold, qc = 0.66 ± 0.04, the lattice can be stretched freely before it acquires a non-zero elastic modulus. The evolution of the free extension as a function of q is studied. Some estimates of critical behaviors are proposed.