Pattern Formation Dynamics in Tapped Granular Media

2003 ◽  
Author(s):  
Y. K. Goh
Keyword(s):  
Pattern Formation ◽  
Granular Media ◽  
Formation Dynamics

scholarly journals Segregation and pattern formation in dilute granular media under microgravity conditions

2017 ◽  
Vol 3 (1) ◽  
Author(s):  
Eric Opsomer ◽  
Martial Noirhomme ◽  
Nicolas Vandewalle ◽  
Eric Falcon ◽  
Simon Merminod
Keyword(s):  
Pattern Formation ◽  
Granular Media ◽  
Microgravity Conditions

PATTERN FORMATION IN NONCOHESIVE AND COHESIVE GRANULAR MEDIA

Fractals ◽  
1993 ◽  
Vol 01 (04) ◽  
pp. 968-976 ◽  
Author(s):  
E. LEMAIRE ◽  
Y. OULD MOHAMED ABDELHAYE ◽  
J. LARUE ◽  
R. BENOIT ◽  
P. LEVITZ ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Hurst Exponent ◽  
Granular Media ◽  
Gas Injection ◽  
First Case ◽  
Fractal Patterns ◽  
Cohesive Powder ◽  
Fragile Fracture ◽  
State Of Matter ◽  
The One

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 Hele 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.

Influence of wetting on fingering patterns in lifting Hele-Shaw flows

Soft Matter ◽  
2014 ◽  
Vol 10 (38) ◽  
pp. 7459-7467 ◽  
Author(s):  
Pedro H. A. Anjos ◽  
José A. Miranda
Keyword(s):  
Pattern Formation ◽  
Formation Dynamics ◽  
Wetting Fluid ◽  
Hele Shaw Cell

We study the pattern formation dynamics related to the displacement of a viscous wetting fluid by a less viscous nonwetting fluid in a lifting Hele-Shaw cell.

Fracture pattern formation in frictional, cohesive, granular material

2010 ◽  
Vol 368 (1910) ◽  
pp. 95-118 ◽  
Author(s):  
Alison Ord ◽  
Bruce E. Hobbs
Keyword(s):  
Pattern Formation ◽  
Granular Media ◽  
Large Scale ◽  
High Stress ◽  
Reaction Diffusion ◽  
Fracture Pattern ◽  
Reaction Diffusion Equations ◽  
Three Dimensions ◽  
Localized Deformation

Naturally, deformed rocks commonly contain crack arrays (joints) forming patterns with systematic relationships to the large-scale deformation. Kinematically, joints can be mode-1, -2 or -3 or combinations of these, but there is no overarching theory for the development of the patterns. We develop a model motivated by dislocation pattern formation in metals. The problem is formulated in one dimension in terms of coupled reaction–diffusion equations, based on computer simulations of crack development in deformed granular media with cohesion. The cracks are treated as interacting defects, and the densities of defects diffuse through the rock mass. Of particular importance is the formation of cracks at high stresses associated with force-chain buckling and variants of this configuration; these cracks play the role of ‘inhibitors’ in reaction–diffusion relationships. Cracks forming at lower stresses act as relatively mobile defects. Patterns of localized deformation result from (i) competition between the growth of the density of ‘mobile’ defects and the inhibition of these defects by crack configurations forming at high stress and (ii) the diffusion of damage arising from these two populations each characterized by a different diffusion coefficient. The extension of this work to two and three dimensions is discussed.

PATTERN FORMATION IN NONCOHESIVE AND COHESIVE GRANULAR MEDIA

1994 ◽  
pp. 563-571
Author(s):  
E. LEMAIRE ◽  
Y. OULD MOHAMED ABDELHAYE ◽  
J. LARUE ◽  
R. BENOIT ◽  
P. LEVITZ ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Granular Media

scholarly journals Simulations of pattern formation in vibrated granular media

1996 ◽  
Vol 36 (4) ◽  
pp. 247-252 ◽  
Author(s):  
S Luding ◽  
E Clément ◽  
J Rajchenbach ◽  
J Duran
Keyword(s):  
Pattern Formation ◽  
Granular Media
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