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Title: Memory in cyclically crumpled sheets
We investigate the crumpling of an elastoplastic sheet as it is repeatedly crushed onto itself by rolling it into a cylinder and twisting it axially while allowing the end-to-end length to evolve freely. The sheet buckles and folds into structures that repeat but sharpen over hundreds of cycles to a remarkable degree before forming different configurations. Below a critical amplitude, reconfigurations decrease with applied cycles but continue to occur for large enough loading amplitude as the topology of the sheet changes as it tears. The sheet structure as measured by the mean curvature and the total crease length evolves logarithmically with cycle number with a rate that increases with compaction. We explain the progress of creasing using a flat folding model, and we show the logarithmic growth as being a consequence of individual creases becoming sharper with the number of folding cycles, leading to bifurcations in the folding pathway.  more » « less
Award ID(s):
2005090
PAR ID:
10608581
Author(s) / Creator(s):
;
Publisher / Repository:
American Physical Society
Date Published:
Journal Name:
Physical Review Research
Volume:
6
Issue:
4
ISSN:
2643-1564
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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