Capillary bundle model for gravitational flow of emulsion through granular media and experimental validation

2016 ◽  
Vol 155 ◽  
pp. 415-427 ◽  
Author(s):  
Mariola M. Błaszczyk ◽  
Jerzy P. Sęk ◽  
Łukasz Przybysz
Keyword(s):  
Granular Media ◽  
Experimental Validation ◽  
Gravitational Flow ◽  
Capillary Bundle Model ◽  
Capillary Bundle

scholarly journals Emergence of Shear Bands in Confined Granular Systems: Singularity of the q-Statistics

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 862 ◽  
Author(s):  
Léo Viallon-Galiner ◽  
Gaël Combe ◽  
Vincent Richefeu ◽  
Allbens Picardi Faria-Atman
Keyword(s):  
Shear Band ◽  
Granular Media ◽  
Experimental Validation ◽  
Scaling Law ◽  
Shear Bands ◽  
Percolation Cluster ◽  
Granular Systems ◽  
Original Approach ◽  
Exact Point ◽  
Confined System

The statistics of grain displacements probability distribution function (pdf) during the shear of a granular medium displays an unusual dependence with the shear increment upscaling as recently evinced (see “experimental validation of a nonextensive scaling law in confined granular media”). Basically, the pdf of grain displacements has clear nonextensive (q-Gaussian) features at small scales, but approaches to Gaussian characteristics at large shear window scales—the granulence effect. Here, we extend this analysis studying a larger system (more grains considered in the experimental setup), which exhibits a severe shear band fault during the macroscopic straining. We calculate the pdf of grain displacements and the dependency of the q-statistics with the shear increment. This analysis has shown a singular behavior of q at large scales, displaying a non-monotonic dependence with the shear increment. By means of an independent image analysis, we demonstrate that this singular non-monotonicity could be associated with the emergence of a shear band within the confined system. We show that the exact point where the q-value inverts its tendency coincides with the emergence of a giant percolation cluster along the system, caused by the shear band. We believe that this original approach using Statistical Mechanics tools to identify shear bands can be a very useful piece to solve the complex puzzle of the rheology of dense granular systems.

Sign in / Sign up

Export Citation Format

Share Document