Cho, Yigil Shin, Joong-Ho Costa, Avelino Kim, Tae Ann Kunin, Valentin Li, Ju Lee, Su Yeon Yang, Shu Han, Heung Nam Choi, In-Suk Srolovitz, David J. 2024-01-20T08:04:00Z 2024-01-20T08:04:00Z 2022-01-10 2014-12-09 0027-8424 https://pubs.kist.re.kr/handle/201004/126000 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. English NATL ACAD SCIENCES NEGATIVE POISSONS RATIO STRETCHABLE ELECTRONICS PERIODIC STRUCTURES SOFT METAMATERIALS MECHANICS BEHAVIOR Engineering the shape and structure of materials by fractal cut Article 10.1073/pnas.1417276111 1 PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, v.111, no.49, pp.17390 - 17395 PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 111 49 17390 17395 scie scopus 000345921500024 2-s2.0-84917705993 Multidisciplinary Sciences Science & Technology - Other Topics Article NEGATIVE POISSONS RATIO STRETCHABLE ELECTRONICS PERIODIC STRUCTURES SOFT METAMATERIALS MECHANICS BEHAVIOR expandability patterning flexibility differentiation deformability