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Programming shape using kirigami tessellations.

Gary P T Choi¹, Levi H Dudte¹, L Mahadevan^2,3,4

¹John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA.

Nature Materials

|August 23, 2019

Summary

This summary is machine-generated.

Researchers developed an inverse design method for kirigami tessellations, enabling custom shapes from flat sheets. This approach allows compact patterns to deploy into complex 2D and 3D structures, creating novel mechanical metamaterials.

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Area of Science:

Mechanical engineering
Materials science
Computational geometry

Background:

Kirigami tessellations offer unique geometric and material properties by transforming flat sheets into complex structures.
Designing kirigami for specific shapes is challenging due to geometric and topological constraints.

Purpose of the Study:

To solve the inverse problem of kirigami design: determining cuts for deployment into target shapes.
To develop a method for creating generalized kirigami patterns from periodic tessellations.

Main Methods:

Identifying constraints for kirigami reconfigurable geometries.
Utilizing a constrained optimization framework for pattern generation.
Performing mechanical analysis for stability and deployment control.

Main Results:

A computational framework to design kirigami patterns for arbitrary 2D and 3D target shapes.
Demonstration of kirigami's ability to conform to prescribed shapes.
Validation of the inverse design approach through physical models.

Conclusions:

The developed inverse design method enables precise control over kirigami tessellations for shape morphing.
Generalized kirigami tessellations serve as versatile building blocks for advanced mechanical metamaterials.
This approach merges geometry, topology, and optimization for novel material design.