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We study the macroscopic elastic moduli of an elastic percolating network in the critical region. A microscopic elastic Hamiltonian is used, which contains a bending energy term. We find that the rigidity threshold of this system is identical to the percolation threshold p₂. By considering the elastic properties of elements of the infinite percolation cluster we calculate the critical exponent which describes the behavior of the elastic stiffness near p₂ for d=6 and obtain a lower bound on for d<6. is considerably higher than the conductivity exponent t, suggesting that the elastic problem belongs to a different universality class.
Kantor et al. (Mon,) studied this question.