Boundary curvature guided programmable shape-morphing kirigami sheets

Yaoye Hong, Yinding Chi, Shuang Wu, Yanbin Li, Yong Zhu and Jie Yin ()
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Yaoye Hong: North Carolina State University
Yinding Chi: North Carolina State University
Shuang Wu: North Carolina State University
Yanbin Li: North Carolina State University
Yong Zhu: North Carolina State University
Jie Yin: North Carolina State University

Nature Communications, 2022, vol. 13, issue 1, 1-13

Abstract: Abstract Kirigami, a traditional paper cutting art, offers a promising strategy for 2D-to-3D shape morphing through cut-guided deformation. Existing kirigami designs for target 3D curved shapes rely on intricate cut patterns in thin sheets, making the inverse design challenging. Motivated by the Gauss-Bonnet theorem that correlates the geodesic curvature along the boundary with the Gaussian curvature, here, we exploit programming the curvature of cut boundaries rather than the complex cut patterns in kirigami sheets for target 3D curved morphologies through both forward and inverse designs. The strategy largely simplifies the inverse design. Leveraging this strategy, we demonstrate its potential applications as a universal and nondestructive gripper for delicate objects, including live fish, raw egg yolk, and a human hair, as well as dynamically conformable heaters for human knees. This study opens a new avenue to encode boundary curvatures for shape-programing materials with potential applications in soft robotics and wearable devices.

Date: 2022
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DOI: 10.1038/s41467-022-28187-x

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