Compact reconfigurable kirigami

Abstract

Kirigami involves cutting a flat, thin sheet that allows it to morph from a closed, compact configuration into an open deployed structure via coordinated rotations of the internal tiles. By recognizing and generalizing the geometric constraints that enable this art form, we propose a design framework for compact reconfigurable kirigami patterns, which can morph from a closed and compact configuration into a deployed state conforming to any prescribed target shape, and subsequently be contracted into a different closed and compact configuration. We further establish a condition for producing kirigami patterns which are reconfigurable and rigid deployable allowing us to connect the compact states via a zero-energy family of deployed states. All together, our inverse design framework lays out a new path for the creation of shape-morphing material structures.

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Cited by in corpus (13)

• Volumetric-mapping-based inverse design of 3D architected materials and mobility control by topology reconstruction
• An additive framework for kirigami design
• Theorem on the Compatibility of Spherical Kirigami Tessellations
• Wallpaper group kirigami
• Modelling planar kirigami metamaterials as generalized elastic continua
• Programming bistability in geometrically perturbed mechanical metamaterials
• Quasicrystal kirigami
• Emergent Nonlocal Combinatorial Design Rules for Multimodal Metamaterials
• Explosive rigidity percolation in kirigami
• Theorem for the design of deployable kirigami tessellations with different topologies
• Optimal face-to-face coupling for fast self-folding kirigami
• Geometric quantification for nonlinear deformation in knitted fabrics
• Reinforcement learning for inverse silhouette design and rapid laser cutting of compact parallelogram quad kirigami prototypes