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