Universität zu Köln

Petit, Juan C., Kumar, Nishant ORCID: 0000-0003-4867-1543, Luding, Stefan ORCID: 0000-0001-7598-0929 and Sperl, Matthias ORCID: 0000-0001-9525-0368 (2022). Bulk modulus along jamming transition lines of bidisperse granular packings. Phys. Rev. E, 106 (5). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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Abstract

We present three-dimensional discrete element method simulations of bidisperse granular packings to in-vestigate their jamming densities phi J and dimensionless bulk moduli K as functions of the size ratio 8 and the concentration of small particles XS. We determine the partial and total bulk moduli for packings near their jamming densities, including a second transition that occurs for sufficiently small 8 and XS when the system is compressed beyond its first jamming transition. While the first transition is sharp, exclusively with large-large contacts, the second is rather smooth, carried by small-large interactions at densities much higher than the monodisperse random packing baseline, phi mono J approximate to 0.64. When only nonrattlers are considered, all the effective transition densities are reduced, and the density of the second transition emerges rather close to the reduced baseline, phi similar to mono J approximate to 0.61, due to its smooth nature. At size ratios 8 0.22 a concentration XS* divides the diagram-either with most small particles nonjammed or jammed jointly with large ones. For XS < XS*, the modulus K displays different behaviors at first and second jamming transitions. Along the second transition, K rises relative to the values found at the first transition; however, is still small compared to K at XS*. Explicitly, for our smallest 8 = 0.15, the discontinuous jump in K as a function of XS is obtained at XS* approximate to 0.21 and coincides with the maximum jamming density where both particle species mix most efficiently. Our results will allow tuning or switching the bulk modulus K or other properties, such as the wave speed, by choosing specific sizes and concentrations based on a better understanding of whether small particles contribute to the jammed structure or not, and how the micromechanical structure behaves at either transition.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Petit, Juan C. UNSPECIFIED UNSPECIFIED UNSPECIFIED Kumar, Nishant UNSPECIFIED orcid.org/0000-0003-4867-1543 UNSPECIFIED Luding, Stefan UNSPECIFIED orcid.org/0000-0001-7598-0929 UNSPECIFIED Sperl, Matthias UNSPECIFIED orcid.org/0000-0001-9525-0368 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-664563
DOI:	10.1103/PhysRevE.106.054903
Journal or Publication Title:	Phys. Rev. E
Volume:	106
Number:	5
Date:	2022
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DEFORMATION; MODELS Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66456