Abstract
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 .
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