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National Academy of Sciences, Proceedings of the National Academy of Sciences, 49(111), p. 17390-17395, 2014

DOI: 10.1073/pnas.1417276111

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Engineering the shape and structure of materials by fractal cut

Journal article published in 2014 by Yigil Cho, Joong-Ho Shin, Avelino Costa, Tae Ann Kim, Valentin Kunin, Ju Li ORCID, Su Yeon Lee, Shu Yang, Heung Nam Han, In-Suk Choi, David J. Srolovitz
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

Significance Most materials can be stretched to a small degree, depending on their elastic limits and failure properties. For most materials the maximum elastic dilatation is very small, implying that the macroscopic shapes to which an elastic body can be deformed is severely limited. The present work addresses the simple modification of any material via hierarchical cut patterns to allow for extremely large strains and shape changes and a large range of macroscopic shapes. This is an important step in the development of shape-programmable materials. We provide the mathematical foundation, simulation results, and experimental demonstrations of the concept of fractal cut. This approach effectively broadens the design space for engineered materials for applications ranging from flexible/stretchable devices and photonic materials to bioscaffolds.