J. Phys. II France
Volume 2, Numéro 5, May 1992
Page(s) 1007 - 1021
DOI: 10.1051/jp2:1992183
J. Phys. II France 2 (1992) 1007-1021

Perfect plasticity in a random medium

Stéphane Roux1 and Alex Hansen2

1  HLRZ, KFA Jülich, Postfach 1913, D-5170 Jülich, Germany
2  Fysisk Institutt, Universitetet i Oslo, Postboks 1048 Blindern, N-0316 Oslo, Norway

(Received 12 November 1991, accepted 8 January 1992)

We study numerically a simple network model which is an electrical analog of a perfectly plastic disordered medium. For a uniform random distribution of local maximum current, (e.g. yield stress), we study the evolution of the properties of the system as a function of the number of elements which reached the plastic limit. It is shown that the macroscopic yield point can be interpreted as a critical point.

62.20F - 64.60A

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