FRACTAL PLASTIC SHEAR BANDS

Author:

POLIAKOV ALEXEI N. B.12,HERRMANN HANS J.12,PODLADCHIKOV YURI YU.3,ROUX STÉPHANE1

Affiliation:

1. PMMH (U.R.A. 857), ESPCI, 10 rue Vauquelin, 75231 Paris, Cedex 05, France

2. HLRZ, KFA Jülich, Postfach 1913, 52425 Jülich, Germany

3. Department of Sedimentary Geology, Vrije Universiteit, 1081 HV Amsterdam, The Netherlands

Abstract

We present a numerical study model of shear bands in rocks with a non-associated plastic flow rule. The system drives spontaneously into a state in which the length distribution of shear bands follows a power law and where the spatial organization of the shear bands appears to be fractal. The distribution of local gradients in deviatoric strain rate has different scaling exponents for each moment which we calculate and discuss. Samples of granodiorite from the Pyrenees sheared under high confining pressure are analyzed and their properties compared with the numerical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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