Stress propagation in locally loaded packings of disks and pentagons
Abstract
The mechanical strength and flow of granular materials can depend strongly on the shapes of individual grains. We report quantitative results obtained from photoelasticimetry experiments on locally loaded, quasi-two-dimensional granular packings of either disks or pentagons exhibiting stick-slip dynamics. Packings of pentagons resist the intruder at significantly lower packing fractions than packings of disks, transmitting stresses from the intruder to the boundaries over a smaller spatial extent. Moreover, packings of pentagons feature significantly fewer back-bending force chains than packings of disks. Data obtained on the forward spatial extent of stresses and back-bending force chains collapse when the packing fraction is rescaled according to the packing fraction of steady state open channel formation, though data on intruder forces and dynamics do not collapse. We comment on the influence of system size on these findings and highlight connections with the dynamics of the disks and pentagons during slip events.
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Joshua Socolar
Prof. Socolar is interested in collective behavior in condensed matter and dynamical systems. His current research interests include:
- Limit-periodic structures, quasicrystals, packing problems, and tiling theory;
- Self-assembly and phases of designed colloidal particles;
- Shear jamming and stick-slip behavior in dry granular materials;
- Organization and dynamics of complex networks;
- Topological elasticity of mechanical lattices.
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