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Periodic origami patterns made with repeating unit cells of creases and panels bend and twist in complex ways. In principle, such soft modes of deformation admit a simplified asymptotic description in the limit of a large number of cells.…

Soft Condensed Matter · Physics 2025-01-03 Hu Xu , Ian Tobasco , Paul Plucinsky

Origami metamaterials made of repeating unit cells of parallelogram panels joined at folds dramatically change their shape through a collective motion of their cells. Here we develop an effective elastic model and numerical method to study…

Soft Condensed Matter · Physics 2025-06-02 Hu Xu , Frederic Marazzato , Paul Plucinsky

Non-rigid origami patterns could provide more versatile performance than their rigid counterparts in the design of mechanical metamaterials owing to the simultaneous deformation of facets and creases, but their complex deformation modes…

Soft Condensed Matter · Physics 2021-09-28 Shixi Zang , Jiayao Ma , Yan Chen

Origami metamaterial design enables drastic qualitative changes in the response properties of a thin sheet via the addition of a repeating pattern of folds based around a rigid folding motion. Known also as a mechanism, this folding motion…

Soft Condensed Matter · Physics 2023-12-20 Michael Czajkowski , James McInerney , Andrew M. Wu , D. Zeb Rocklin

Creating complex spatial objects from a flat sheet of material using origami folding techniques has attracted attention in science and engineering. In the present work, we employ geometric properties of partially folded zigzag strips to…

Materials Science · Physics 2015-09-25 Maryam Eidini , Glaucio H. Paulino

Rigidly and flat-foldable quadrilateral mesh origami is the class of quadrilateral mesh crease patterns with one fundamental property: the patterns can be folded from flat to fully-folded flat by a continuous one-parameter family of…

Soft Condensed Matter · Physics 2020-07-15 Fan Feng , Xiangxin Dang , Richard D. James , Paul Plucinsky

We study the three-dimensional equilibrium shape of a shell formed by a deployed accordion-like origami, made from an elastic sheet decorated by a series of parallel creases crossed by a central longitudinal crease. Surprisingly, while the…

Soft Condensed Matter · Physics 2021-02-09 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

Kirigami metamaterials dramatically change their shape through a coordinated motion of nearly rigid panels and flexible slits. Here, we study a model system for mechanism-based planar kirigami featuring periodic patterns of quadrilateral…

Soft Condensed Matter · Physics 2023-06-16 Yue Zheng , Imtiar Niloy , Ian Tobasco , Paolo Celli , Paul Plucinsky

We characterize the phase-space of all Helical Miura Origami. These structures are obtained by taking a partially folded Miura parallelogram as the unit cell, applying a generic helical or rod group to the cell, and characterizing all the…

Soft Condensed Matter · Physics 2020-03-18 Fan Feng , Paul Plucinsky , Richard D. James

Origami inspired architectures offer a powerful route toward lightweight, reconfigurable, and programmable robotic systems. Yet, a unified mechanics framework capable of seamlessly bridging rigid folding, elastic deformation, and stability…

Robotics · Computer Science 2026-03-17 Bohan Zhang , Bo Wang , Huajiang Ouyang , Zhigang Wu , Haohao Bi , Jiawei Xu , Mingchao Liu , Weicheng Huang

The study of origami-based mechanical metamaterials usually focuses on the kinematics of deployable structures made of an assembly of rigid flat plates connected by hinges. When the elastic response of each panel is taken into account,…

Soft Condensed Matter · Physics 2019-10-02 I. Andrade , M. Adda-Bedia , M. A. Dias

Origami, the traditional paper-folding art, has inspired the modern design of numerous flexible structures in science and engineering. In particular, origami structures with different physical properties have been studied and utilized for…

Soft Condensed Matter · Physics 2025-07-24 Rongxuan Li , Gary P. T. Choi

We propose a novel computational framework for modeling and simulating origami structures. In this framework, bilinear solid-shell elements are employed to model the origami panels while crease folding is considered through the angle…

Graphics · Computer Science 2026-01-05 Qixin Liang

The principles of origami design have proven useful in a number of technological applications. Origami tessellations in particular constitute a class of morphing metamaterials with unusual geometric and elastic properties. Although…

Soft Condensed Matter · Physics 2022-07-19 Hussein Nassar , Arthur Lebée , Emily Werner

Origami is the archetype of a structural material with unusual mechanical properties that arise almost exclusively from the geometry of its constituent folds and forms the basis for mechanical metamaterials with an extreme deformation…

Classical Physics · Physics 2016-11-26 Zhiyan Wei , Zengcai Guo , Levi Dudte , Haiyi Liang , L. Mahadevan

Shape-morphing finds widespread utility, from the deployment of small stents and large solar sails to actuation and propulsion in soft robotics. Origami structures provide a template for shape-morphing, but rules for designing and folding…

Soft Condensed Matter · Physics 2021-10-25 Xiangxin Dang , Fan Feng , Paul Plucinsky , Richard D. James , Huiling Duan , Jianxiang Wang

Thick origami structures are considered here as assemblies of polygonal panels hinged to each other along their edges according to a corresponding origami crease pattern. The determination of the internal actions caused by external loads in…

Soft Condensed Matter · Physics 2024-05-21 Andrea Micheletti , Alessandro Tiero , Giuseppe Tomassetti

Origami-inspired mechanisms can transform flat sheets into functional three-dimensional dynamic structures that are lightweight, compact, and capable of complex motion. These properties make origami increasingly valuable in robotic and…

Robotics · Computer Science 2026-05-05 Tianhui Han , Shashwat Singh , Sarvesh Patil , Zeynep Temel

Folding paper along curves leads to spatial structures that have curved surfaces meeting at spatial creases, defined as curve-fold origami. In this work, we provide an Eulerian framework focusing on the mechanics of arbitrary curve-fold…

Soft Condensed Matter · Physics 2024-08-16 Zhixuan Wen , Pengyu Lv , Fan Feng , Huiling Duan

Origami and kirigami have emerged as potential tools for the design of mechanical metamaterials whose properties such as curvature, Poisson ratio, and existence of metastable states can be tuned using purely geometric criteria. A major…

Soft Condensed Matter · Physics 2016-03-31 Bryan Gin-ge Chen , Bin Liu , Arthur A. Evans , Jayson Paulose , Itai Cohen , Vincenzo Vitelli , C. D. Santangelo
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