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Updated: Dec 29, 2025

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Published on: March 10, 2023
Packing transitions in the elastogranular confinement of a slender loop.
David J Schunter1, Regina K Czech1, Douglas P Holmes1
1Mechanical Engineering, Boston University, Boston, MA 02215, USA. djsj@bu.edu dpholmes@bu.edu.
A growing elastic loop in soft grains forms distinct circular patterns above a critical density. This reveals novel packing behaviors relevant to natural structures and engineering applications.
Area of Science:
- Physics
- Materials Science
- Biophysics
Background:
- Confined thin structures exhibit unique packing strategies across scales, from DNA in capsids to biological systems like plant roots and the human gut.
- Understanding how growing slender structures interact with deformable boundaries is crucial for various scientific and engineering fields.
Purpose of the Study:
- To investigate the packing behaviors of a growing elastic loop within a deformable granular medium.
- To identify the critical conditions and resulting morphologies of confined elastic structures.
Main Methods:
- Experimentally injecting elastic loops of varying arc lengths into soft, spherical granular arrays.
- Systematically varying the initial number densities of the granular medium.
Main Results:
- At low densities, the elastic loop folds periodically, mimicking interaction with a flat surface.
- Above a critical packing fraction (φc), the granular medium re-orients, forming an effectively curved surface.
- This leads to the emergence of a distinct circular packing morphology for the elastic loop.
Conclusions:
- The study reveals a transition in packing behavior of elastic structures within deformable granular media.
- The findings offer insights into natural phenomena like plant morphogenesis and animal locomotion.
- Results are applicable to the development of advanced tools, such as steerable needles.
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