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  Arrest stress of uniformly sheared wet granular matter

Ebrahimnazhad Rahbari, S. H., Brinkmann, M., & Vollmer, J. (2015). Arrest stress of uniformly sheared wet granular matter. Physical Review E, 91(6): 062201. doi:10.1103/PhysRevE.91.062201.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-5F14-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-C230-6
Genre: Journal Article

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 Creators:
Ebrahimnazhad Rahbari, Seyed Habibolla, Author
Brinkmann, Martin1, Author              
Vollmer, Jürgen2, Author              
Affiliations:
1Group Theory of wet random assemblies, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, DE, ou_2063303              
2Group Principles of Self Organisation, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063312              

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 Abstract: We conduct extensive independent numerical experiments considering frictionless disks without internal degrees of freedom (rotation, etc.) in two dimensions. We report here that for a large range of the packing fractions below random-close packing, all components of the stress tensor of wet granular materials remain finite in the limit of zero shear rate. This is direct evidence for a fluid-to-solid arrest transition. The offset value of the shear stress characterizes plastic deformation of the arrested state which corresponds to dynamic yield stress of the system. Based on an analytical line of argument, we propose that the mean number of capillary bridges per particle, ν, follows a nontrivial dependence on the packing fraction, ϕ, and the capillary energy, ɛ. Most noticeably, we show that ν is a generic and universal quantity which does not depend on the driving protocol. Using this universal quantity, we calculate the arrest stress, σa, analytically based on a balance of the energy injection rate due to the external force driving the flow and the dissipation rate accounting for the rupture of capillary bridges. The resulting prediction of σa is a nonlinear function of the packing fraction, ϕ, and the capillary energy, ɛ. This formula provides an excellent, parameter-free prediction of the numerical data. Corrections to the theory for small and large packing fractions are connected to the emergence of shear bands and of contributions to the stress from repulsive particle interactions, respectively.

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Language(s): eng - English
 Dates: 2015-06-042015
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevE.91.062201
BibTex Citekey: Rahbari-pre-2015
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Title: Physical Review E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: 6 Volume / Issue: 91 (6) Sequence Number: 062201 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: /journals/resource/954925225012