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Related papers: Modelling planar kirigami metamaterials as general…

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Shape-morphing structures, which are able to change their shapes from one state to another, are important in a wide range of engineering applications. A popular scenario is morphing from an initial two-dimensional (2D) shape that is flat to…

Soft Condensed Matter · Physics 2023-03-22 Yunlan Zhang , Jingyi Yang , Mingchao Liu , Dominic Vella

The geometry of bending-active kirigami arches, decorated by cuts and holes, is strongly influenced by the location and geometry of the perforations. This study demonstrates that, in some instances, the geometric stiffening induced by…

Soft Condensed Matter · Physics 2025-08-14 Eszter Fehér

We merge classical origami concepts with active actuation by designing origami patterns whose panels undergo prescribed metric changes. These metric changes render the system non-Euclidean, inducing non-zero Gaussian curvature at the…

Soft Condensed Matter · Physics 2025-12-01 Linjuan Wang , Fan Feng

In recent years, the concept of kirigami has been used in creating deployable structures for various scientific and technological applications. While high-fidelity Finite Element Analysis (FEA) is the standard for analyzing stress…

Soft Condensed Matter · Physics 2026-02-17 Qinghai Jiang , Gary P. T. Choi

We combine large-scale atomistic modelling with continuum elastic theory to study the shapes of graphene sheets embedding nanoscale kirigami. Lattice segments are selectively removed from a flat graphene sheet and the structure is allowed…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 Bastien F. Grosso , E. J. Mele

The principles underlying the art of origami paper folding can be applied to design sophisticated metamaterials with unique mechanical properties. By exploiting the flat crease patterns that determine the dynamic folding and unfolding…

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…

Soft Condensed Matter · Physics 2021-10-15 Gary P. T. Choi , Levi H. Dudte , L. Mahadevan

Limbless creatures can crawl on flat surfaces by deforming their bodies and interacting with asperities on the ground, offering a biological blueprint for designing efficient limbless robots. Inspired by this natural locomotion, we present…

Four rigid panels connected by hinges that meet at a point form a 4-vertex, the fundamental building block of origami metamaterials. Here we show how the geometry of 4-vertices, given by the sector angles of each plate, affects their…

Soft Condensed Matter · Physics 2016-03-23 Scott Waitukaitis , Martin van Hecke

We present a theorem on the compatibility upon deployment of kirigami tessellations restricted on a spherical surface with patterned slits forming freeform quadrilateral meshes. We show that the spherical kirigami tessellations have either…

Soft Condensed Matter · Physics 2022-01-24 Xiangxin Dang , Fan Feng , Huiling Duan , Jianxiang Wang

This study explores the use of origami composite structures as active aerodynamic control surfaces. Towards this goal, two origami concepts were designed leveraging a combination of analytical and finite element modeling, and computational…

Some bi or multi-stable Mechanical meta-structures have been implemented as mechanical memory devices which however are with limits such as complex structural forms, low information storage capability and/or fragile structural stability to…

Materials Science · Physics 2023-04-20 Libiao Xin , Yanbin Li , Baolong Wang , Zhiqiang Li

There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the…

Analysis of PDEs · Mathematics 2025-11-10 Xuenan Li , Robert V. Kohn

We explore the surprisingly rich energy landscape of origami-like folding planar structures. We show that the configuration space of rigid-paneled degree-4 vertices, the simplest building blocks of such systems, consists of at least two…

Soft Condensed Matter · Physics 2017-09-26 Scott Waitukaitis , Rémi Menaut , Bryan Gin-ge Chen , Martin van Hecke

Origami-based design holds promise for developing materials whose mechanical properties are tuned by crease patterns introduced to thin sheets. Although there has been heuristic developments in constructing patterns with desirable…

Soft Condensed Matter · Physics 2015-08-05 Arthur A. Evans , Jesse L. Silverberg , Christian D. Santangelo

Shape morphing that transforms morphologies in response to stimuli is crucial for future multifunctional systems. While kirigami holds great promise in enhancing shape-morphing, existing designs primarily focus on kinematics and overlook…

Applied Physics · Physics 2023-08-10 Liwei Wang , Yilong Chang , Shuai Wu , Ruike Renee Zhao , Wei Chen

Geometrical frustration induced anisotropy and inhomogeneity are explored to achieve unique properties of metamaterials that set them apart from conventional materials. According to Neumann's principle, to achieve anisotropic responses, the…

Materials Science · Physics 2023-02-28 Ke Liu , Phanisri P. Pratapa , Diego Misseroni , Tomohiro Tachi , Glaucio H. Paulino

Origami, the traditional art of paper folding, has revolutionized science and technology in recent years and has been found useful in various real-world applications. In particular, origami-inspired structures have been utilized for…

Soft Condensed Matter · Physics 2025-06-19 Rongxuan Li , Gary P. T. Choi

Nematic elastomers dramatically change their shape in response to diverse stimuli including light and heat. In this paper, we provide a systematic framework for the design of complex three dimensional shapes through the actuation of…

Soft Condensed Matter · Physics 2018-03-08 Paul Plucinsky , Benjamin A. Kowalski , Timothy J. White , Kaushik Bhattacharya

Flexible robotics are capable of achieving various functionalities by shape morphing, benefiting from their compliant bodies and reconfigurable structures. Here we construct and study a class of origami springs generalized from the known…

Robotics · Computer Science 2022-01-19 Qianying Chen , Fan Feng , Pengyu Lv , Huiling Duan