Response of granular media near the jamming transition

Leiden Repository

Response of granular media near the jamming transition

Type: Doctoral Thesis
Title: Response of granular media near the jamming transition
Author: Ellenbroek, Wouter Gerhardus
Publisher: Leiden Institute of Physics, Institute-Lorentz for Theoretical Physics, Faculty of Science, Leiden University
Issue Date: 2007-06-14
Keywords: Static sandpiles
Jamming
Granular solids
Elasticity
Force networks
Yielding
Granular Systems
Abstract: Many disordered materials display a so-called jamming transition between solid-like and fluid-like states. In this thesis, we investigate jamming in granular media by studying granular packings at various distances from the transition. In numerical model systems of spherical particles, the jamming transition has many features of a critical transition. Using the linear response of such packings to external perturbations, we shed new light on their critical behavior. We analyze various scaling relations in terms of the non-affine deformations of the packing, and identify a diverging length scale that determines beyond what scale these systems can be treated as a continuum. This length scale and various other properties are determined primarily by the number of contacts between grains in the system. In the second half of the thesis we investigate force networks in granular media using the recently developed Force Network Ensemble. We discuss the analytical properties of the ensemble, and apply it to study granular media under shear stress, identifying upper bounds on the shear stress that cohesionless granular media can sustain.
Description: Promotor: W. van Saarloos, Co-promotor: M.L. van Hecke
With Summary in Dutch
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Ellenbroek, W.G., 2007, Doctoral Thesis, Leiden University
Series/Report no.: Casimir PhD Series
2007-05
ISBN: 9789085930297
Sponsor: Stichting voor Fundamenteel Onderzoek der Materie (FOM)
Handle: http://hdl.handle.net/1887/12083
 

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