Shivakumar Athani, Bloen Metzger, Yoël Forterre, Romain Mari
{"title":"Transients in shear thickening suspensions: when hydrodynamics matters","authors":"Shivakumar Athani, Bloen Metzger, Yoël Forterre, Romain Mari","doi":"arxiv-2408.15130","DOIUrl":null,"url":null,"abstract":"Using particle-based numerical simulations performed under pressure-imposed\nconditions, we investigate the transient dilation dynamics of a shear\nthickening suspension brought to shear jamming. We show that the stress levels,\ninstead of diverging as predicted by steady state flow rules, remain finite and\nare entirely determined by the coupling between the particle network dilation\nand the resulting Darcy backflow. System-spanning stress gradients along the\ndilation direction lead to cross-system stress differences scaling\nquadratically with the system size. Measured stress levels are quantitatively\ncaptured by a continuum model based on a Reynolds-like dilatancy law and the\nWyart-Cates constitutive model. Beyond globally jammed suspensions, our results\nenable the modeling of inhomogeneous flows where shear jamming is local, e.g.\nunder impact, which eludes usual shear thickening rheological laws.","PeriodicalId":501146,"journal":{"name":"arXiv - PHYS - Soft Condensed Matter","volume":"12 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Soft Condensed Matter","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.15130","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Using particle-based numerical simulations performed under pressure-imposed
conditions, we investigate the transient dilation dynamics of a shear
thickening suspension brought to shear jamming. We show that the stress levels,
instead of diverging as predicted by steady state flow rules, remain finite and
are entirely determined by the coupling between the particle network dilation
and the resulting Darcy backflow. System-spanning stress gradients along the
dilation direction lead to cross-system stress differences scaling
quadratically with the system size. Measured stress levels are quantitatively
captured by a continuum model based on a Reynolds-like dilatancy law and the
Wyart-Cates constitutive model. Beyond globally jammed suspensions, our results
enable the modeling of inhomogeneous flows where shear jamming is local, e.g.
under impact, which eludes usual shear thickening rheological laws.