Matches in SemOpenAlex for { <https://semopenalex.org/work/W2046107597> ?p ?o ?g. }
- W2046107597 abstract "There have been many attempts to derive continuum models for dense granular flow, but a general theory is still lacking. Here, we start with Mohr-Coulomb plasticity for quasi-2D granular materials to calculate (average) stresses and slip planes, but we propose a stochastic flow rule (SFR) to replace the principle of coaxiality in classical plasticity. The SFR takes into account two crucial features of granular materials - discreteness and randomness - via diffusing spots of local fluidization, which act as carriers of plasticity. We postulate that spots perform random walks biased along slip-lines with a drift direction determined by the stress imbalance upon a local switch from static to dynamic friction. In the continuum limit (based on a Fokker-Planck equation for the spot concentration), this simple model is able to predict a variety of granular flow profiles in flat-bottom silos, annular Couette cells, flowing heaps, and plate-dragging experiments -- with essentially no fitting parameters -- although it is only expected to function where material is at incipient failure and slip-lines are inadmissible. For special cases of admissible slip-lines, such as plate dragging under a heavy load or flow down an inclined plane, we postulate a transition to rate-dependent Bagnold rheology, where flow occurs by sliding shear planes. With different yield criteria, the SFR provides a general framework for multiscale modeling of plasticity in amorphous materials, cycling between continuum limit-state stress calculations, meso-scale spot random walks, and microscopic particle relaxation." @default.
- W2046107597 created "2016-06-24" @default.
- W2046107597 creator A5023745556 @default.
- W2046107597 creator A5070486479 @default.
- W2046107597 date "2007-04-11" @default.
- W2046107597 modified "2023-10-01" @default.
- W2046107597 title "Stochastic flow rule for granular materials" @default.
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- W2046107597 doi "https://doi.org/10.1103/physreve.75.041301" @default.
- W2046107597 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17500886" @default.
- W2046107597 hasPublicationYear "2007" @default.
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