id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-248072-mlp51zgk	Johanns, Paul	The shapes of physical trefoil knots	2020-11-06		.txt	text/plain	6841	392	62	Here, we perform a compare-and-contrast investigation between the equilibrium shapes of physical real-izations of tight elastic trefoil knots and those of ideal knots based on existing purely geometric models [21, 28] , both in open and closed configurations. We realize physical knots tied onto elastomeric rods (which are straight in their unstressed configuration) in experiment complemented with fully 3D elastic simulation using the finite element method (FEM); representative examples are provided in the experimental photographs and FEMsnapshots of Fig. 1 . Our measured curvature profiles for knotted elastic filaments, both in the closed and open trefoils, are qualitatively different from those predicted by the ideal geometric models. The excellent FEM-experimental agreement confirms the observed curvature profiles and enables us to extract and map the contact pressure distribution, thereby revealing significant rod constrictions at the entrance and exit of the tight open knot.	./cache/cord-248072-mlp51zgk.txt	./txt/cord-248072-mlp51zgk.txt