Bulletin of the American Physical Society
APS March Meeting 2010
Volume 55, Number 2
Monday–Friday, March 15–19, 2010; Portland, Oregon
Session H11: Focus Session: Extreme Mechanics I
8:00 AM–11:00 AM,
Tuesday, March 16, 2010
Sponsoring Unit: GSNP
Chair: P. Reis, Massachusetts Institute of Technology
Abstract ID: BAPS.2010.MAR.H11.2
Abstract: H11.00002 : Conical surfaces and singularities in highly constrained elastic membranes*
8:36 AM–8:48 AM
Preview Abstract Abstract
An elastic membrane that is forced to reside in a container of a slightly smaller size will deform and, upon further volume reduction, will eventually crumple. Previous studies have focused on the onset of the crumpled state by analyzing the mechanical response and stability of a developable conical surface (d-cones) that can be described by a single-valued function, while others have simulated the highly packed regime, neglecting the importance of connectivity of the membrane. Here we present a study in which experiments, numerical simulation and analytic work are used to show that the emergence of new regions of high stretching is a generic outcome when a self- avoiding membrane is subject to a severe geometrical constraint. Consequently, an anomalous mechanical response, characterized by a series of peaks in the force-deformation curve, appears as the membrane is squeezed. Our findings emphasize the role of self-avoidance, connectivity and friction as the key factors defining the morphology and response of a d- cone from its formation to its final fate.
*This work was supported in part by the NSF Grant DMR-0520491 and the NSF Grant No. CMMI 0709187.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.MAR.H11.2
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