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Biology is full of intricate molecular structures whose geometries are inextricably linked to their function. Many of these structures exhibit varying curvature, such as the helical structure of the bacterial flagellum, which is critical…

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…

图形学 · 计算机科学 2026-01-05 Qixin Liang

Miura-ori is well-known for its capability of flatly folding a sheet of paper through a tessellated crease pattern made of repeating parallelograms. Many potential applications have been based on the Miura-ori and its primary variations.…

度量几何 · 数学 2020-04-09 Zeyuan He , Simon D. Guest

Thin-walled structures capable of large, reversible deformation are key to multistable structures, origami, kirigami, and soft robotics. However, conventional fabrication techniques, including 3D printing, casting, and laser cutting, suffer…

软凝聚态物质 · 物理学 2026-03-03 Junyu Chen , Dotan Ilssar , Dennis M. Kochmann

We develop some design examples for approximating a target surface at the final rigidly folded state of a developable quadrilateral creased paper, which is folded with a 1-DOF rigid folding motion from the planar state. The final rigidly…

度量几何 · 数学 2020-06-15 Zeyuan He , Simon D. Guest

For centuries, human civilizations devised metal forming techniques to make tools and items; yet, customized metal forming remains costly and intricate. Laser-forming origami} (lasergami) is a metal forming process where a laser beam cuts…

机器人学 · 计算机科学 2021-12-01 Yue Hao , Peiwen J. Ma , Huaishu Peng , Edwin A. Peraza Hernandez , Jyh-Ming Lien

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…

软凝聚态物质 · 物理学 2023-12-20 Michael Czajkowski , James McInerney , Andrew M. Wu , D. Zeb Rocklin

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…

软凝聚态物质 · 物理学 2022-07-19 Hussein Nassar , Arthur Lebée , Emily Werner

The adhesion of a stiff film onto a curved substrate often generates elastic stresses in the film that eventually give rise to its delamination. Here we predict that delamination of very thin films can be dramatically suppressed through…

软凝聚态物质 · 物理学 2015-06-23 Evan Hohlfeld , Benny Davidovitch

Origami has shown the potential to approximate three-dimensional curved surfaces by folding through designed crease patterns on flat materials. The Miura-ori tessellation is a widely used pattern in engineering and tiles the plane when…

计算工程、金融与科学 · 计算机科学 2020-09-08 Yucai Hu , Yexin Zhou , Haiyi Liang

Folding mechanisms are zero elastic energy motions essential to the deployment of origami, linkages, reconfigurable metamaterials and robotic structures. In this paper, we determine the fate of folding mechanisms when such structures are…

软凝聚态物质 · 物理学 2018-02-09 D. Zeb Rocklin , Vincenzo Vitelli , Xiaoming Mao

Disclinations in a 2D sheet create regions of Gaussian curvature whose inversion produces a reconfigurable surface with many distinct metastable shapes, as shown by molecular dynamics of a disclinated graphene monolayer. This material has a…

材料科学 · 物理学 2022-08-30 Benjamin N Katz , Lev Krainov , Vincent H Crespi

We develop a theoretical framework for rigid origami, and show how this framework can be used to connect rigid origami and results from cognate areas, such as the rigidity theory, graph theory, linkage folding and computer science. First,…

度量几何 · 数学 2021-01-05 Zeyuan He , Simon D. Guest

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…

软凝聚态物质 · 物理学 2021-09-28 Shixi Zang , Jiayao Ma , Yan Chen

Wireless millimeter-scale origami robots that can locomote in narrow spaces and morph their shapes have recently been explored with great potential for biomedical applications. Existing millimeter-scale origami devices usually require…

机器人学 · 计算机科学 2022-07-06 Qiji Ze , Shuai Wu , Jize Dai , Sophie Leanza , Gentaro Ikeda , Phillip C. Yang , Gianluca Iaccarino , Ruike Renee Zhao

A long-standing challenge in impact mitigation is the development of versatile and omnifarious protective structures capable of encompassing a wide spectrum of scenarios, for example, ranging from low-speed pedestrian impacts to high-speed…

Miura-Ori, a celebrated origami pattern that facilitates functionality in matter, has found multiple applications in the field of mechanical metamaterials. Modifications of Miura-Ori pattern can produce curved configurations during folding,…

软凝聚态物质 · 物理学 2024-12-20 Alon Sardas , Michael Moshe , Cy Maor

Object manipulation is a fundamental challenge in robotics, where systems must balance trade-offs among manipulation capabilities, system complexity, and throughput. Distributed manipulator systems (DMS) use the coordinated motion of…

机器人学 · 计算机科学 2025-09-29 Bailey Dacre , Rodrigo Moreno , Serhat Demirtas , Ziqiao Wang , Yuhao Jiang , Jamie Paik , Kasper Stoy , Andrés Faíña

The interaction between elasticity and capillarity is used to produce three dimensional structures, through the wrapping of a liquid droplet by a planar sheet. The final encapsulated 3D shape is controlled by tayloring the initial geometry…

软凝聚态物质 · 物理学 2015-06-25 C. Py , P. Reverdy , L. Doppler , J. Bico , B. Roman , C. N. Baroud

Origami is an ancient art that continues to yield both artistic and scientific insights to this day. In 2012, Buhler, Butler, de Launey, and Graham extended these ideas even further by developing a mathematical construction inspired by…

环与代数 · 数学 2023-06-07 Deveena R. Banerjee , Sara Chari , Adriana Salerno