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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…

软凝聚态物质 · 物理学 2024-05-21 Andrea Micheletti , Alessandro Tiero , Giuseppe Tomassetti

Origami describes rules for creating folded structures from patterns on a flat sheet, but does not prescribe how patterns can be designed to fit target shapes. Here, starting from the simplest periodic origami pattern that yields one…

软凝聚态物质 · 物理学 2018-12-24 Levi H. Dudte , Etienne Vouga , Tomohiro Tachi , L. Mahadevan

Two-dimensional (2D) origami tessellations such as the Miura-ori are often generalized to build three-dimensional (3D) architected materials with sandwich or cellular structures. However, such 3D blocks are densely packed with continuity of…

软凝聚态物质 · 物理学 2025-07-02 Guowei Wayne Tu , Evgueni T. Filipov

We consider the zero-energy deformations of periodic origami sheets with generic crease patterns. Using a mapping from the linear folding motions of such sheets to force-bearing modes in conjunction with the Maxwell-Calladine index theorem…

软凝聚态物质 · 物理学 2020-12-24 James McInerney , Bryan Gin-ge Chen , Louis Theran , Christian Santangelo , Zeb Rocklin

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…

软凝聚态物质 · 物理学 2015-08-05 Arthur A. Evans , Jesse L. Silverberg , Christian D. Santangelo

Origami as a deployable structure offers the unique advantage of achieving compact stowage via flat-folding while forming a well-defined surface composed of rigid panels upon deployment. However, since origami consists of flat facets, it is…

软凝聚态物质 · 物理学 2025-11-27 Byoung-Gyu Kim , Geon Hee Cho , Hak-Tae Lee , Jinkyu Yang

The field of rigid origami concerns the folding of stiff, inelastic plates of material along crease lines that act like hinges and form a straight-line planar graph, called the crease pattern of the origami. Crease pattern vertices in the…

度量几何 · 数学 2025-07-22 Thomas C. Hull

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…

软凝聚态物质 · 物理学 2024-08-16 Zhixuan Wen , Pengyu Lv , Fan Feng , Huiling Duan

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…

软凝聚态物质 · 物理学 2021-02-09 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

Self-folding origami, structures that are engineered flat to fold into targeted, three-dimensional shapes, have many potential engineering applications. Though significant effort in recent years has been devoted to designing fold patterns…

软凝聚态物质 · 物理学 2022-03-25 M. E. Lee-Trimble , Ji-Hwan Kang , Ryan C. Hayward , Christian D. Santangelo

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.…

软凝聚态物质 · 物理学 2025-01-03 Hu Xu , Ian Tobasco , Paul Plucinsky

Non-Euclidean origami is a promising technique for designing multistable deployable structures folded from nonplanar developable surfaces. The impossibility of flat foldability inherent to non-Euclidean origami results in two disconnected…

软凝聚态物质 · 物理学 2023-07-20 Clark Addis , Salvador Rojas , Andres F. Arrieta

Folding a sheet of paper along a curve can lead to structures seen in decorative art and utilitarian packing boxes. Here we present a theory for the simplest such structure: an annular circular strip that is folded along a central circular…

软凝聚态物质 · 物理学 2012-09-18 Marcelo A. Dias , Levi H. Dudte , L. Mahadevan , Christian D. Santangelo

Rigid origami is a branch of origami with great potential in engineering applications to deal with rigid-panel folding. One of the challenges is to compactly fold the polyhedra made from rigid facets with a single degree of freedom. In this…

应用物理 · 物理学 2020-05-15 Yuanqing Gu , Yan Chen

Origami, the ancient art of folding thin sheets, has attracted increasing attention for its practical value in diverse fields: architectural design, therapeutics, deployable space structures, medical stent design, antenna design and…

软凝聚态物质 · 物理学 2021-06-09 Huan Liu , Paul Plucinsky , Fan Feng , Richard D. James

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…

软凝聚态物质 · 物理学 2020-07-15 Fan Feng , Xiangxin Dang , Richard D. James , Paul Plucinsky

This study proposes a reconfigurable modular building system that assembles multistable curved-crease origami blocks. Curved-crease origami is designed with even-vertex polygonal trajectories and an elastica curvature profile. We then…

应用物理 · 物理学 2025-09-10 Munkyun Lee , Joseph M. Gattas , Tomohiro Tachi

Rigid origami, with applications ranging from nano-robots to unfolding solar sails in space, describes when a material is folded along straight crease line segments while keeping the regions between the creases planar. Prior work has found…

度量几何 · 数学 2022-04-27 Johnna Farnham , Thomas C. Hull , Aubrey Rumbolt

Programmable folding of elastic sheets typically relies on predefined flexible creases or active materials-enabled hinges, which lack intrinsic bistability and limit reprogrammability within a single structure. Here, we present a…

软凝聚态物质 · 物理学 2026-05-05 Qun Zhang , Weicheng Huang , Amir Hajiyavand , Hyunyoung Kim , Claire Dancer , Karl Dearn , Mingchao Liu

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
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