Engineering the shape and structure of materials by fractal cut
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Cho-2014-Engineering the shap.pdf
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Author(s) • • • • • • • • •
Cho, Yigil
Shin, Joong-Ho
Costa, Avelino
Kim, Tae Ann
Kunin, Valentin
Li, Ju
Lee, Su Yeon
Yang, Shu
Han, Heung Nam
Srolovitz, David J.
Date Issued
December 2014
Journal
Proceedings of the National Academy of Sciences
Publisher
National Academy of Sciences (U.S.)
Citation
Cho, Yigil, Joong-Ho Shin, Avelino Costa, Tae Ann Kim, Valentin Kunin, Ju Li, Su Yeon Lee, et al. “Engineering the Shape and Structure of Materials by Fractal Cut.” Proceedings of the National Academy of Sciences 111, no. 49 (November 24, 2014): 17390–17395.
Version
Final published version
Abstract
In this paper we discuss the transformation of a sheet of material into a wide range of desired shapes and patterns by introducing a set of simple cuts in a multilevel hierarchy with different motifs. Each choice of hierarchical cut motif and cut level allows the material to expand into a unique structure with a unique set of properties. We can reverse-engineer the desired expanded geometries to find the requisite cut pattern to produce it without changing the physical properties of the initial material. The concept was experimentally realized and applied to create an electrode that expands to >800% the original area with only very minor stretching of the underlying material. The generality of our approach greatly expands the design space for materials so that they can be tuned for diverse applications.
MIT Department
Massachusetts Institute of Technology. Department of Materials Science and Engineering
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1073/pnas.1417276111