Two-state model to describe the rheological behavior of vibrated granular matter
| Autor: | Caroline Hanotin, S. Kiesgen de Richter, Laurent J. Michot, Ph Marchal |
|---|---|
| Přispěvatelé: | Laboratoire Réactions et Génie des Procédés (LRGP), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Énergies et Mécanique Théorique et Appliquée (LEMTA ), Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC), Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Terre et Environnement de Lorraine (OTELo), Institut national des sciences de l'Univers (INSU - CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Institut Ecologie et Environnement (INEE), Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Physics
DYNAMICS Constitutive equation Mechanics SOFT GLASSY MATERIALS Type (model theory) POWDERS 01 natural sciences 010305 fluids & plasmas Vibration Stress (mechanics) MEDIA FLOWS Nonlinear system Rheology 0103 physical sciences Newtonian fluid [SPI.GPROC]Engineering Sciences [physics]/Chemical and Process Engineering 010306 general physics Differential (mathematics) |
| Zdroj: | Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2013, 88 ((1)), pp.012201. ⟨10.1103/PhysRevE.88.012207⟩ |
| ISSN: | 1539-3755 1550-2376 |
| DOI: | 10.1103/PhysRevE.88.012207⟩ |
| Popis: | International audience; In this paper, we present a model aimed at predicting the rheological response of a 3D dry granular system to nonstationary mechanical solicitations, subjected or not to vibrations. This model is based on a phenomenological two-state approach related to the inherent bimodal behavior of chain forces in granular packing. It is set up from a kinetic equation describing the dynamics of the contact network. To allow experimental assessment, the kinetic equation is transformed into a differential constitutive equation, relating stress to strain, from which rheological properties can be derived. Its integration allows predicting and describing several rheological behaviors, in stationary and nonstationary conditions, including viscous (Newtonian) and frictional (Coulombian) regimes, as well as elastic linear (Hookean and Maxwellian) and nonlinear behaviors. Despite its simplicity, since it involves only three independent parameters, the model is in very close agreement with experiments. Moreover, within experimental errors, the values of these parameters are independent of the type of test used to determine them, evidence of the self-consistency of the model. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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