PATTERN FORMATION IN NONCOHESIVE AND COHESIVE GRANULAR MEDIA

被引：22

作者：

Lemaire, E. ^{[2
]}

Abdelhaye, Y. Ould Mohamed ^{[1
]}

Larue, J. ^{[1
]}

Benoit, R. ^{[1
]}

Levitz, P. ^{[1
]}

Van Damme, H. ^{[1
]}

机构：

[1] Univ Orleans, CNRS, Ctr Rech Mat Divisee, F-45071 Orleans 02, France

[2] IRSID, F-78105 St Germain En Laye, France

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 1993年 / 1卷 / 04期

关键词：

D O I：

10.1142/S0218348X93001040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We studied pattern formation in granular media in two distinct states: in the dry and non-cohesive (powder) state, on the one hand, and in the wet and cohesive (paste) state, on the other. In the first case, we have shown that gas injection in a thin layer of powder within a He le Shaw cell leads to fractal patterns remarkably similar to viscous fingering patterns obtained with complex fluids. In the second case, we have shown that the tensile cohesive viscoplastic fracture of a layer of paste leads to self-affine rough surfaces with a Hurst exponent close to 0.88, very close to the value obtained for fragile fracture by other authors.(18) Our observations reinforce the universality of two fractal growth processes and add a new element to the ambivalent nature of the granular state of matter.

引用

页码：968 / 976

页数：9

共 20 条

[1] EXPERIMENTS ON A GRAVITY-FREE DISPERSION OF LARGE SOLID SPHERES IN A NEWTONIAN FLUID UNDER SHEAR [J].

BAGNOLD, RA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 225 (1160) :49-63

[2] SHEARING AND DILATATION OF DRY SAND AND SINGING MECHANISM [J].

BAGNOLD, RA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 295 (1442) :219-&

[3] FRACTAL DIMENSION OF FRACTURED SURFACES - A UNIVERSAL VALUE [J].

BOUCHAUD, E ;

LAPASSET, G ;

PLANES, J .

EUROPHYSICS LETTERS, 1990, 13 (01) :73-79

[4] RADIAL VISCOUS FINGERS AND DIFFUSION-LIMITED AGGREGATION - FRACTAL DIMENSION AND GROWTH SITES [J].

DACCORD, G ;

NITTMANN, J ;

STANLEY, HE .

PHYSICAL REVIEW LETTERS, 1986, 56 (04) :336-339

[5] FRACTURE SURFACE-ROUGHNESS AS A GAUGE OF FRACTURE-TOUGHNESS - ALUMINUM PARTICULATE SIC COMPOSITES [J].

DAVIDSON, DL .

JOURNAL OF MATERIALS SCIENCE, 1989, 24 (02) :681-687

[6]

HOMSY GM, 1987, ANNU REV FLUID MECH, V19, P271, DOI 10.1146/annurev.fl.19.010187.001415

[7] PHYSICS OF THE GRANULAR STATE [J].

JAEGER, HM ;

NAGEL, SR .

SCIENCE, 1992, 255 (5051) :1523-1531

[8]

JOSEPH DD, 1990, EUR J MECH B-FLUID, V9, P565

[9]

Kendall K., 1987, TRIBOLOGY PARTICULAT, P91

[10] EXPERIMENTAL MEASUREMENTS OF THE ROUGHNESS OF BRITTLE CRACKS [J].

MALOY, KJ ;

HANSEN, A ;

HINRICHSEN, EL ;

ROUX, S .

PHYSICAL REVIEW LETTERS, 1992, 68 (02) :213-215

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