Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects

Powders or cohesive granular materials are widely handled in industries. However, our understanding of the rheology of these materials is limited. Here, we provide a comprehensive analysis of the rheology of a cohesive granular medium, sheared in a normal-stress-imposed plane shear cell over a wide...

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Autores principales:	Sandip Mandal, Maxime Nicolas, Olivier Pouliquen
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/9c1c67b8e5094faa92fc7952943591c4
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spelling	oai:doaj.org-article:9c1c67b8e5094faa92fc7952943591c42021-12-02T18:29:51ZRheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects10.1103/PhysRevX.11.0210172160-3308https://doaj.org/article/9c1c67b8e5094faa92fc7952943591c42021-04-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.021017http://doi.org/10.1103/PhysRevX.11.021017https://doaj.org/toc/2160-3308Powders or cohesive granular materials are widely handled in industries. However, our understanding of the rheology of these materials is limited. Here, we provide a comprehensive analysis of the rheology of a cohesive granular medium, sheared in a normal-stress-imposed plane shear cell over a wide range of shear rate, employing numerical simulations. At high imposed shear rates, the flow is homogeneous, and the rheology is well described by the existing scaling laws, involving the inertial number and the “effective” cohesion number [S. Mandalet al., Insights into the Rheology of Cohesive Granular Media, Proc. Natl. Acad. Sci. U.S.A. 117, 8366 (2020)PNASA60027-842410.1073/pnas.1921778117]. However, at low imposed shear rates, the flow is inhomogeneous, exhibiting the coexistence of flowing and nonflowing regions in the material, popularly known as shear banding. We thoroughly analyze the crucial features of this shear-banded flow regime and discuss striking similarities between the shear banding for granular media and other complex fluids. We reveal that the occurrence of shear banding is related to the existence of a nonmonotonic intrinsic rheological curve and that increasing adhesion increases the nonmonotonicity and the tendency toward shear localization. A simple theoretical model based on a nonlocal rheological model coupled with a nonmonotonic flow curve is proposed and is shown to successfully reproduce all the key features of the shear banding observed in the numerical simulations. The results have important implications for the handling of powders in industries.Sandip MandalMaxime NicolasOlivier PouliquenAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 2, p 021017 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Sandip Mandal Maxime Nicolas Olivier Pouliquen Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects
description	Powders or cohesive granular materials are widely handled in industries. However, our understanding of the rheology of these materials is limited. Here, we provide a comprehensive analysis of the rheology of a cohesive granular medium, sheared in a normal-stress-imposed plane shear cell over a wide range of shear rate, employing numerical simulations. At high imposed shear rates, the flow is homogeneous, and the rheology is well described by the existing scaling laws, involving the inertial number and the “effective” cohesion number [S. Mandalet al., Insights into the Rheology of Cohesive Granular Media, Proc. Natl. Acad. Sci. U.S.A. 117, 8366 (2020)PNASA60027-842410.1073/pnas.1921778117]. However, at low imposed shear rates, the flow is inhomogeneous, exhibiting the coexistence of flowing and nonflowing regions in the material, popularly known as shear banding. We thoroughly analyze the crucial features of this shear-banded flow regime and discuss striking similarities between the shear banding for granular media and other complex fluids. We reveal that the occurrence of shear banding is related to the existence of a nonmonotonic intrinsic rheological curve and that increasing adhesion increases the nonmonotonicity and the tendency toward shear localization. A simple theoretical model based on a nonlocal rheological model coupled with a nonmonotonic flow curve is proposed and is shown to successfully reproduce all the key features of the shear banding observed in the numerical simulations. The results have important implications for the handling of powders in industries.
format	article
author	Sandip Mandal Maxime Nicolas Olivier Pouliquen
author_facet	Sandip Mandal Maxime Nicolas Olivier Pouliquen
author_sort	Sandip Mandal
title	Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects
title_short	Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects
title_full	Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects
title_fullStr	Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects
title_full_unstemmed	Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects
title_sort	rheology of cohesive granular media: shear banding, hysteresis, and nonlocal effects
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/9c1c67b8e5094faa92fc7952943591c4
work_keys_str_mv	AT sandipmandal rheologyofcohesivegranularmediashearbandinghysteresisandnonlocaleffects AT maximenicolas rheologyofcohesivegranularmediashearbandinghysteresisandnonlocaleffects AT olivierpouliquen rheologyofcohesivegranularmediashearbandinghysteresisandnonlocaleffects
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Rheology of Cohesive Granular Media: Shear Banding, Hysteresis, and Nonlocal Effects

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