2006/07/06 by J Torok, János Török, Tamás Unger +4 · 3 citations
Earth and Planetary Sciences · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Dissipation #Generalization #Geology #Geotechnical engineering #Granular flow and fluidized beds #Granular material #High-pressure geophysics and materials #Material Dynamics and Properties #Mathematical analysis #Mathematics #Mechanics #Physics #Rheology #Shear (geology) #Shear band #Shear rate #Shear velocity #Statistical physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.75.011305
published as Phys. Rev. E 75, 011305 (2007) · 4 pages, 5 figures
arxiv created 2006/07/06 · openalex publication_date 2007/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a model to describe the wide shear zones observed in modified Couette cell experiments with granular material. The model is a generalization of the recently proposed approach based on a variational principle. The instantaneous shear band is identified with the surface that minimizes the dissipation in a random potential that is biased by the local velocity difference and pressure. The apparent shear zone is the ensemble average of the instantaneous shear bands. The numerical simulation of this model matches excellently with experiments and has measurable predictions.