| Issue |
EPL
Volume 106, Number 5, June 2014
|
|
|---|---|---|
| Article Number | 58004 | |
| Number of page(s) | 5 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/106/58004 | |
| Published online | 10 June 2014 | |
Extensional rheology of entangled granular materials
School of Physics, Rochester Institute of Technology - Rochester, NY 14623, USA
Received: 10 March 2014
Accepted: 19 May 2014
We study the response of collections of U-shaped granular particles to extensional loading. Cylindrical samples elongate in bursts, as existing particle entanglements yield and new ones are created. The probability of failure scales with applied force F as 
. Longer samples are weaker than shorter ones, with the mean yield force scaling with instantaneous length L as 
. Both results can be explained with a Weibullian weakest-link theory that posits that samples are comprised of smaller sub-units. We find the yield probability of a sub-unit to scales with applied force as Fm and, from experiments, determine 
. This is then used to capture the complete two-dimensional failure probability distribution 
.
PACS: 83.80.Fg – Granular solids / 61.43.-j – Disordered solids
© EPLA, 2014
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