Phys. Rev. B 33, 2013–2016 (1986)Elastic moduli near percolation in a two-dimensional random network of rigid and nonrigid bondsReceived 31 July 1985; published in the issue dated 1 February 1986 A mixture of rigid and normal elastic links with both a stretching and a bending force constant is simulated on a two-dimensional, random-bond, honeycomb network in order to investigate the critical behavior of the two macroscopic elastic moduli near the percolation threshold of the rigid bonds p=pc. Both moduli are found to diverge as p→pc from below with the same critical exponent that characterizes the electrical conductivity of a superconductor–normal-conductor mixture. Poisson’s ratio is found to have a universal negative value that is independent of the microscopic force constants. © 1986 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.33.2013
DOI:
10.1103/PhysRevB.33.2013
PACS:
46.10.+z, 81.40.Cd, 05.70.Jk
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