Crumple-Origami Transition for Twisting Cylindrical Shells
Abstract
Origami and crumpling are two extreme tools to shrink a 3-D shell. In the shrink/expand process, the former is reversible due to its topological mechanism, while the latter is irreversible because of its random-generated creases. We observe a morphological transition between origami and crumple states in a twisted cylindrical shell. By studying the regularity of crease pattern, acoustic emission and energetics from experiments and simulations, we develop a model to explain this transition from frustration of geometry that causes breaking of rotational symmetry. In contrast to solving von Karman-Donnell equations numerically, our model allows derivations of analytic formula that successfully describe the origami state. When generalized to truncated cones and polygonal cylinders, we explain why multiple and/or reversed crumple-origami transitions can occur.
Keywords
Cite
@article{arxiv.1910.02825,
title = {Crumple-Origami Transition for Twisting Cylindrical Shells},
author = {Li-Min Wang and Sun-Ting Tsai and Chih-yu Lee and Pai-Yi Hsiao and Jia-Wei Deng and Hung-Chieh Fan Chiang and Yicheng Fei and Tzay-Ming Hong},
journal= {arXiv preprint arXiv:1910.02825},
year = {2020}
}
Comments
6 pages, 5 figures