Year: 2020
Type: preprint
Abstract: Granular packings display the remarkable phenomenon of dilatancy [1], wherein their volume increases upon shear deformation. Conventional wisdom and previous results suggest that dilatancy, as also the related phenomenon of shear-induced jamming, requires frictional interactions [2, 3]. Here, we investigate the occurrence of dilatancy and shear jamming in frictionless packings. We show that the existence of isotropic jamming densities ϕj above the minimal density, the J-point density ϕJ [4, 5], leads both to the emergence of shear-induced jamming and dilatancy. Packings at ϕJ form a significant threshold state into which systems evolve in the limit of vanishing pressure under constant pressure shear, irrespective of the initial jamming density ϕj. While packings for different ϕj display equivalent scaling properties under compression [6], they exhibit striking differences in rheological behaviour under shear. The yield stress under constant volume shear increases discontinuously with density when ϕj > ϕJ, contrary to the continuous behavior in generic packings that jam at ϕJ [4, 7].
Source: arXiv (Cornell University)
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, National Supercomputer Centre in Guangzhou, Department of Science and Technology, Ministry of Science and Technology, India, Indo-US Science and Technology Forum, National Natural Science Foundation of China, Jawaharlal Nehru Centre for Advanced Scientific Research, Science and Engineering Research Board, Division of Chemical, Bioengineering, Environmental, and Transport Systems
Awards: G3248721510, G3615741256, Collaborative Research: Discontinuous shear thickening and shear jamming in dense suspensions: statistical mechanics and the microscopic basis for extreme transitions of properties, RUI: State-dependent modulation of visuomotor reflexes across Drosophila species, 玻璃化转变及玻璃-玻璃相变——非平衡相变与相转变研究, G5884475829
OpenAlex ID: W3011646869