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.

arXiv comment6 pages, 5 figures

References in corpus (13)

• Capillary origami: spontaneous wrapping of a droplet with an elastic sheet
• Crumpling a Thin Sheet
• Topological mechanics of origami and kirigami
• Geometric Mechanics of Curved Crease Origami
• The Geometry of Crumpled Paper
• The mechanical response of a creased sheet
• Acoustic Emission from crumpling paper
• Universal Power Law in the Noise from a Crumpled Elastic Sheet
• The spontaneous emergence of ordered phases in crumpled sheets
• Crumpling under an ambient pressure
• Acoustic Emission from Breaking a Bamboo Chopstick
• Power-law ansatz in complex systems: excessive loss of information
• Effect of Ridge-Ridge Interactions in Crumpled Thin Sheets

Cited by in corpus (1)

• Memory in cyclically crumpled sheets