Packing of elastic rings with friction

We study the deformations of elastic filaments confined within slowly-shrinking circular boundaries, under contact forces with friction. perform computations a spring-lattice model that deforms like thin inextensible filament uniform bending stiffness. Early in deformation, two lobes make contact. If friction coefficient is small enough, one lobe slides inside other; otherwise, move together or bifurcates other. There follows sequence mixture spiraling and bifurcations, primarily former latter large With zero friction, simple predicts maximum curvature total energy scale as wall radius to -3/2 -2 powers respectively. nonzero similar scaling but prefactor up 8 times larger, due delayering range curvatures. For coefficients 1, are qualitatively without at outer wall. Above case becomes dominated by buckling near