Programmable Hierarchical Kirigami

Ning An, August G. Domel, Jinxiong Zhou, Ahmad Rafsanjani*, Katia Bertoldi*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Kirigami—the Japanese art of cutting paper—has recently inspired the design of highly stretchable and morphable mechanical metamaterials that can be easily realized by embedding an array of cuts into a sheet. This study focuses on thin plastic sheets perforated with a hierarchical pattern of cuts arranged to form an array of hinged squares. It is shown that by tuning the geometric parameters of this hierarchy as well as thickness and material response of the sheets not only a variety of different buckling-induced 3D deformation patterns can be triggered, but also the stress–strain response of the surface can be effectively programmed. Finally, it is shown that when multiple hierarchical patterns are brought together to create one combined heterogeneous surface, the mechanical response can be further tuned and information can be encrypted into and read out via the applied mechanical deformation.

Original languageEnglish
Article number1906711
JournalAdvanced Functional Materials
Issue number6
Number of pages21
Publication statusPublished - 5. Feb 2020
Externally publishedYes


  • hierarchical cuts
  • kirigami
  • mechanical metamaterials
  • programmable response

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