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Researchers Design Three-Dimensional Kirigami Building Blocks to Make Dynamic Metamaterials

various shapes of metamaterial building blocks lie in front of a much larger structure made from similar blocks Play Video
Photo credit: Jie Yin.

For Immediate Release

A new approach to producing metamaterials draws on kirigami techniques to make three-dimensional, reconfigurable building blocks that can be used to create complex, dynamic structures. Because the design approach is modular, these structures are easy to both assemble and disassemble.

“Applying kirigami to three-dimensional materials offers a new level of reconfigurability for these structures,” says Jie Yin, corresponding author of a paper on the work and an associate professor of mechanical and aerospace engineering at North Carolina State University.

Researchers are optimistic that these 3D metamaterials could be used in applications such as lightweight construction materials for buildings, components for modular robotics and wave guiding in acoustic metamaterials.

Kirigami is a variation of origami that involves cutting paper, in addition to folding it. While kirigami is done using two-dimensional materials, such as paper, Yin and his collaborators have applied the principles of kirigami to three-dimensional materials that are cut into connected cubes.

Specifically, the researchers modeled their new approach using a series of eight connected cardboard cubes that are open on two sides. Think of each unit of eight connected cubes as a building block. Depending on how the cubes are connected to each other, these building blocks can be folded into more than 300,000 different designs.

“Think of these kirigami units as versatile building blocks that can be assembled to create larger structures with different mechanical properties,” Yin says. “What’s more, the larger structures can also be disassembled, allowing users to reassemble the kirigami units into new structures.”

To demonstrate the utility of the concept, the researchers created more than a dozen reconfigurable building blocks. Each block consisted of eight connected paper cubes and could be reconfigured into eight different shapes. Video highlights the ways that each unit could be reconfigured into different structures, how those structures could be assembled into larger structures, and how the assembled large structures could be disassembled back into the reconfigurable blocks. (The video can be viewed at the top of the page.)

Depending on the orientation of the solid cube walls and open sides in each block, and the placement of each block in the larger structure, the structure will behave differently. This allows users to tune each building block’s mechanical properties. For example, a single building block could be folded into a structure that can be easily compressed, or refolded into a different shape that is capable of bearing a significant load.

“The fact that you can disassemble and reconfigure these 3D metamaterials allow users to alter the mechanical properties of a structure as needed to perform different tasks,” Yin says. “Fold it one way to make it easy to compress, fold it another way to allow for lateral movement, fold it a third way to make it rigid or enhance its physical strength – and so on.

“This work was focused on demonstrating the fundamental concept,” Yin says. “Our next step is to demonstrate applications for the concept.”

The paper, “3D Transformable Modular Kirigami-Based Programmable Metamaterials,” is published in the journal Advanced Functional Materials. First author of the paper is Yanbin Li, a Ph.D. student at NC State. The paper was co-authored by Yaoye Hong, a Ph.D. student at NC State; and Qiuting Zhang, a postdoctoral researcher at Yale University. The work was done with support from the National Science Foundation under grant 2005374.

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Note to Editors: The study abstract follows.

“3D Transformable Modular Kirigami-Based Programmable Metamaterials”

Authors: Yanbin Li, Yaoye Hong and Jie Yin, North Carolina State University; Qiuting Zhang, Yale University

Published: July 29, Advanced Functional Materials

DOI: 10.1002/adfm.202105641

Abstract: Kirigami, the ancient art of paper cutting, has recently emerged as a new approach to construct metamaterials with novel properties imparted by cuts. However, most studies are limited to thin sheets-based 2D kirigami metamaterials with specific forms and limited reconfigurability due to planar connection constraints of cut units. Here, we introduce 3D modular kirigami by cutting bulk materials into spatially closed-loop connected cut cubes to construct a new class of 3D kirigami metamaterials. The module is transformable with multiple degrees of freedom that could transform into versatile distinct daughter building blocks. Their conformable assembly creates a wealth of reconfigurable and disassemblable metamaterials with diverse structures and unique properties, including reconfigurable 1D column-like materials, 2D lattice-like metamaterials with phase transition of chirality, as well as 3D frustration-free multilayered metamaterials with 3D auxetic behaviors and programmable deformation modes. This work largely expands the design space of kirigami metamaterials from 2D to 3D.