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Force-chain evolution in a two-dimensional granular packing compacted by vertical tappings
Naoki Iikawa1, M M Bandi2, Hiroaki Katsuragi1
1Department of Earth and Environmental Sciences, Nagoya University, Furocho, Chikusa, Nagoya, Aichi 464-8601, Japan.
Physical Review. E
|May 20, 2018
Summary
Compacting granular materials with tapping randomizes grain and force-chain structures. Force chains become more disordered as grain configurations become more isotropic and interparticle forces increase.
Area of Science:
- Physics
- Materials Science
- Statistical Mechanics
Background:
- Granular materials exhibit complex behaviors due to interparticle interactions.
- Understanding force chains is crucial for predicting material properties.
Purpose of the Study:
- To investigate the evolution of force chains during compaction of granular packing.
- To correlate grain configuration isotropy with force-chain structure.
Main Methods:
- Experimental study using photoelastic disks in a 2D vertically-tapped granular packing.
- Quantification of grain configuration isotropy using deviator anisotropy from fabric tensor.
- Measurement of interparticle forces and force-chain orientational order parameter.
Main Results:
- Interparticle forces increase and saturate with increasing packing fraction.
- Grain configurations and force chains become more isotropic during compaction.
- Total force chain length remains constant.
- Positive correlation between grain isotropy and force-chain disorder.
- Negative correlation between interparticle force and force-chain disorder.
Conclusions:
- Compaction-induced isotropy in grain configurations leads to disorder in force-chain orientations.
- Increasing interparticle forces correlate with decreasing force-chain order.
- Observed relations are independent of particle motion modes.
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