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- W3133764981 abstract "We present three-dimensional discrete element method simulations of bidisperse granular packings to investigate their jamming densities ${ensuremath{phi}}_{J}$ and dimensionless bulk moduli $K$ as functions of the size ratio $ensuremath{delta}$ and the concentration of small particles ${X}_{mathrm{S}}$. We determine the partial and total bulk moduli for packings near their jamming densities, including a second transition that occurs for sufficiently small $ensuremath{delta}$ and ${X}_{mathrm{S}}$ 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, ${ensuremath{phi}}_{J}^{mathrm{mono}}ensuremath{approx}0.64$. 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, ${stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{phi}}}_{J}^{mathrm{mono}}ensuremath{approx}0.61$, due to its smooth nature. At size ratios $ensuremath{delta}ensuremath{le}0.22$ a concentration ${X}_{mathrm{S}}^{*}$ divides the diagram---either with most small particles nonjammed or jammed jointly with large ones. For ${X}_{mathrm{S}}<{X}_{mathrm{S}}^{*}$, 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 ${X}_{mathrm{S}}^{*}$. Explicitly, for our smallest $ensuremath{delta}=0.15$, the discontinuous jump in $K$ as a function of ${X}_{mathrm{S}}$ is obtained at ${X}_{mathrm{S}}^{*}ensuremath{approx}0.21$ 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." @default.
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- W3133764981 date "2022-11-16" @default.
- W3133764981 modified "2023-09-26" @default.
- W3133764981 title "Bulk modulus along jamming transition lines of bidisperse granular packings" @default.
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- W3133764981 doi "https://doi.org/10.1103/physreve.106.054903" @default.
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