An additive framework for kirigami design

Abstract

We present an additive approach for the inverse design of kirigami-based mechanical metamaterials by focusing on the empty (negative) spaces instead of the solid tiles. By considering each negative space as a four-bar linkage, we identify a simple recursive relationship between adjacent linkages, yielding an efficient method for creating kirigami patterns. This allows us to solve the kirigami design problem using elementary linear algebra, with compatibility, reconfigurability and rigid-deployability encoded into an iterative procedure involving simple matrix multiplications. The resulting linear design strategy circumvents the solution of a non-convex global optimization problem and allows us to control the degrees of freedom in the deployment angle field, linkage offsets and boundary conditions. We demonstrate this by creating a large variety of rigid-deployable, compact, reconfigurable kirigami patterns. We then realize our kirigami designs physically using two simple but effective fabrication strategies with very different materials. Altogether, our additive approaches present routes for efficient mechanical metamaterial design and fabrication based on ori/kirigami art forms.

References in corpus (10)

• Programming Curvature using Origami Tessellations
• Programming shape using kirigami tessellations
• Topological mechanics of origami and kirigami
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• Compact reconfigurable kirigami
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• Geometric auxetics
• Design of pseudo-mechanisms and multistable units for mechanical metamaterials

Cited by in corpus (2)

• Programming bistability in geometrically perturbed mechanical metamaterials
• Reinforcement learning for inverse silhouette design and rapid laser cutting of compact parallelogram quad kirigami prototypes