Engineering by Cuts: How Kirigami Principle Enables Unique Mechanical Properties and Functionalities
Abstract:
Kirigami, the ancient art of paper cutting, has evolved into a design and fabrication framework to engineer multi-functional materials and structures at vastly different scales. By slit cutting with carefully designed geometries, desirable mechanical behaviors—such as accurate shape morphing, tunable auxetics, super-stretchability, buckling, and multistability—can be imparted to otherwise inflexible sheet materials. In addition, the kirigami sheet provides a versatile platform for embedding different electronic and responsive components, opening up avenues for building the next generations of metamaterials, sensors, and soft robotics. These promising potentials of kirigami-based engineering have inspired vigorous research activities over the past few years, generating many academic publications. Therefore, this review aims to provide insights into the recent advance in this vibrant field. In particular, this paper offers the first comprehensive survey of unique mechanical properties induced by kirigami cutting, their underlying physical principles, and their corresponding applications. The synergies between design methodologies, mechanics modeling, advanced fabrication, and material science will continue to mature this promising discipline.
Introduction:
Kirigami—“cut-paper” in Japanese—is an ancient art of creating beautiful decorations by simply cutting and manipulating a thin piece of paper. The seemingly infinite possibilities of developing 2D or 3D geometries by the kirigami principle have inspired countless implementations in our modern life, from children's pop-up books to art and architecture. Meanwhile, kirigami received a growing interest from the science and engineering communities, who are transforming this humble artistic activity into a framework for architecting, fabricating, and functionalizing a wide variety of engineered systems like flexible electronics, metamaterials, morphing structures, and soft robotics. The rapidly increasing number of kirigami-related academic publications over the recent years is a testimony to this exciting development.
In our traditional perception, kirigami is frequently related to origami (aka “fold-paper”) due to their apparent similarities. Indeed, one could consider kirigami a variation of origami by allowing cutting in addition to folding. However, the introduction of cuts makes the working principle underpinning kirigami fundamentally different from origami. For example, a periodic and tessellated origami folding pattern turns paper into a kinematically over-constrained system, reducing the overall degree of freedom. Furthermore, if their facets are stiff, origami could possess only one kinematic degree of freedom, commonly referred to as “rigid folding.” Miura-ori, which is the foundation of many deployable structures and metamaterials,[1-3] is a classic example of 1DOF rigid-foldable origami. On the contrary, kirigami cutting introduces the opposite effect via releasing the continuous constraint in the constituent sheet material and significantly increasing the kinematics degree of freedom. As a result, the kirigami principle is powerful for imparting compliance to inextensible sheet materials, while origami typically creates load-bearing and space-filling 3D topologies.
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