FRACTAL PLASTIC SHEAR BANDS

被引:70
作者
Poliakov, Alexei N. B. [1 ,2 ,4 ]
Herrmann, Hans J. [1 ,2 ]
Podladchikov, Yuri Yu. [3 ,4 ]
Roux, Stephane [1 ]
机构
[1] ESPCI, PMMH, URA 857, F-75231 Paris 05, France
[2] KFA Julich, HLRZ, D-52425 Julich, Germany
[3] Vrije Univ Amsterdam, Dept Sedimentary Geol, NL-1081 HV Amsterdam, Netherlands
[4] RAN, Inst Expt Mineral, Chernogolovka, Russia
关键词
D O I
10.1142/S0218348X9400079X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:567 / 581
页数:15
相关论文
共 27 条
[1]  
Barton C., MEMOIRE GEO IN PRESS
[2]  
Cundall P., 1991, PROC MECH COMPUTING, P1279
[3]  
CUNDALL PA, 1990, MECHANICS OF JOINTED AND FAULTED ROCK, P11
[4]   NUMERICAL EXPERIMENTS ON LOCALIZATION IN FRICTIONAL MATERIALS [J].
CUNDALL, PA .
INGENIEUR ARCHIV, 1989, 59 (02) :148-159
[5]  
Davy P., 1993, J GEOPHYS RES, V98, P141
[6]  
DEARCANGELIS L, 1990, STAT MODELS FRACTURE, P229
[7]  
Desrues J., 1984, THESIS I NAT POLYTEC
[8]   BACKBONE AND ELASTIC BACKBONE OF PERCOLATION CLUSTERS OBTAINED BY THE NEW METHOD OF BURNING [J].
HERRMANN, HJ ;
HONG, DC ;
STANLEY, HE .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (05) :L261-L266
[10]  
Mandelbrot B. B, 1982, FRACTAL GEOMETRY NAT, V1, P170