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Optimal number of faces for fast self-folding kirigami

Engineering and Technology

Optimal number of faces for fast self-folding kirigami

H. P. M. Melo, C. S. Dias, et al.

This groundbreaking research conducted by H. P. M. Melo, C. S. Dias, and N. A. M. Araújo delves into the fascinating world of self-folding kirigami structures at the microscale. They reveal that the optimal number of faces for rapid folding is five, thanks to intricate thermal fluctuation dynamics. Their findings shed light on designing more complex structures with innovative applications.

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Playback language: English
Abstract
This paper investigates the optimal number of faces for fast self-folding kirigami structures at the microscale, driven by thermal fluctuations. Through numerical simulations and analytical calculations focusing on regular pyramids, the authors demonstrate that the total folding time is a non-monotonic function of the number of faces (N), exhibiting a minimum at five faces. The folding process is modeled as a sequence of irreversible binding events between faces, described as Brownian processes. The first binding event is a 2D first-passage process, with a characteristic time decreasing with N. Subsequent binding events are 1D first-passage processes, with the last event's time growing logarithmically with N. The interplay between these timescales explains the non-monotonic behavior, offering insights for designing more complex self-folding structures.
Publisher
Communications Physics
Published On
Sep 02, 2020
Authors
H. P. M. Melo, C. S. Dias, N. A. M. Araújo
Tags
kirigami
self-folding structures
thermal fluctuations
binding events
Brownian processes
pyramids
microengineering
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