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Column collapse of granular rods
M Trepanier1, Scott V Franklin
1Department of Physics, Rochester Institute of Technology, Rochester, New York 14623, USA.
Granular rod piles exhibit critical collapse heights. Below a certain height, piles remain stable; above it, they always collapse, with intermediate heights showing predictable collapse probability.
Area of Science:
- Physics
- Materials Science
- Granular Mechanics
Background:
- Understanding granular material behavior is crucial in various scientific and engineering fields.
- The collapse dynamics of granular piles are influenced by particle shape and pile geometry.
- Rod-shaped particles present unique challenges in predicting pile stability.
Purpose of the Study:
- To investigate the collapse behavior of granular rod piles.
- To determine the influence of particle aspect ratio and pile dimensions on collapse.
- To characterize the runoff scaling after pile collapse.
Main Methods:
- Experimental investigation of granular rod piles with varying particle and pile aspect ratios.
- Systematic measurement of critical collapse heights (Hl and Hu).
- Analysis of collapse probability as a function of pile height.
- Quantification of runoff volume and its scaling with pile height.
Main Results:
- A critical height (Hl) below which piles are stable and a height (Hu) above which they always collapse were identified.
- Collapse probability increases linearly with pile height for intermediate heights, independent of particle shape.
- Runoff scales as a piecewise power law with pile height, with different exponents for shorter and taller piles.
Conclusions:
- Granular rod pile collapse is governed by critical height thresholds.
- The linear probability of collapse suggests a universal mechanism for intermediate heights.
- The piecewise power-law scaling of runoff provides insights into granular flow dynamics.
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