Slack Dynamics on an Unfurling String
Abstract
An arch will grow on a rapidly deployed thin string in contact with a rigid plane. We present a qualitative model for the growing structure involving the amplification, rectification, and advection of slack in the presence of a steady stress field, validate our assumptions with numerical experiments, and pose new questions about the spatially developing motions of thin objects.
- Publication:
-
Physical Review Letters
- Pub Date:
- September 2012
- DOI:
- 10.1103/PhysRevLett.109.134301
- arXiv:
- arXiv:1202.0795
- Bibcode:
- 2012PhRvL.109m4301H
- Keywords:
-
- 46.70.Hg;
- 05.45.-a;
- 46.40.Cd;
- 47.54.-r;
- Membranes rods and strings;
- Nonlinear dynamics and chaos;
- Mechanical wave propagation;
- Pattern selection;
- pattern formation;
- Condensed Matter - Soft Condensed Matter;
- Nonlinear Sciences - Pattern Formation and Solitons;
- Physics - Fluid Dynamics
- E-Print:
- significant changes. removed one figure