Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session Y08: Chaos and Nonlinear Dynamics II
8:00 AM–10:12 AM,
Friday, March 18, 2022
Room: McCormick Place W-179B
Sponsoring Unit: GSNP
Chair: Greg Voth, Wesleyan University
Abstract: Y08.00006 : Developable cones in annular rings*
9:00 AM–9:12 AM
(Massachusetts Institute of Technology MIT)
Douglas P Holmes
Here, we perturb the d-cone structure by constraining its central region to remain flat. In experiments and molecular dynamics (MD) simulations, sheets are clamped between circular plates and quasi-statically drawn through a ring. This leads to sequential buckling of truncated cones, which arrange circumferentially around the free annulus. The size of cones is sensitive to confinement geometry. Regions of concentrated strain occur near the clamp, stiffening the system. This effect is analogous to a Winkler foundation, informing a 1D model that modifies the d-cone solution to reveal how the characteristic cone size depends on the geometric parameters. Additionally, we observe transient, small-amplitude wrinkling in the outer region of the sheet before cone formation. This diffuse-to-focused transition is abrupt, and our model captures the associated critical force.
*We gratefully acknowledge the support from NSF CMMI-1824882 and the Princeton Presidential Postdoctoral Research Fellowship.
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