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Brazilian Journal of Physics

Print version ISSN 0103-9733On-line version ISSN 1678-4448

Abstract

ESPINOZA ORTIZ, J.S.  and  GUNARATNE, Gemunu H.. Critical indices of random planar electrical networks. Braz. J. Phys. [online]. 2009, vol.39, n.2, pp.306-311. ISSN 0103-9733.  http://dx.doi.org/10.1590/S0103-97332009000300012.

We propose a new method to estimate the percolation threshold pc and the critical index t associated with strength reduction in networks of random fused conductors. It relies on a recently proposed expression for the yield strength of a network as a function of the probability p that each element is removed from it. The values of critical indices are confirmed using finite size scaling. Further, we systematically study effects of different damage modalities, which are chosen to reflect age-related changes in the porous inner segments of human bone. In particular, we find that pc and t depend on damage modalities.

Keywords : Random networks; Fused conductors; Human bone; Strength reduction; Critical index.

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