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Origami morphing, obtained with patches of piecewise smooth isometries separated by straight fold lines, is an exquisite art that has already received considerable attention in the mathematics and mechanics literature. Curved fold lines,…

Soft Condensed Matter · Physics 2024-12-25 Antonio DeSimone , Luciano Teresi

We investigate the nonlinear wave dynamics of origami-based metamaterials composed of Tachi-Miura polyhedron (TMP) unit cells. These cells exhibit strain softening behavior under compression, which can be tuned by modifying their…

In nature, materials such as ferroelastics and multiferroics can switch their microstructure in response to external stimuli, and this reconfiguration causes a simultaneous modulation of its material properties. Rapid prototyping…

Applied Physics · Physics 2018-11-28 Yi Yang , Marcelo A. Dias , Douglas P. Holmes

Origami and crumpling are two extreme tools to shrink a 3-D shell. In the shrink/expand process, the former is reversible due to its topological mechanism, while the latter is irreversible because of its random-generated creases. We observe…

Origami and Kirigami, the famous Japanese art forms of paper folding and cutting, have inspired the design of novel materials & structures utilizing their geometry. In this article, we explore the geometry of the lesser known popup art,…

Computational Geometry · Computer Science 2026-03-10 Jay Jayeshbhai Chavda , S Ganga Prasath

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…

Soft Condensed Matter · Physics 2026-05-05 Qun Zhang , Weicheng Huang , Amir Hajiyavand , Hyunyoung Kim , Claire Dancer , Karl Dearn , Mingchao Liu

We present an approach to overcoming challenges in dynamical dexterity for robots through tunable origami structures. Our work leverages a one-parameter family of flat sheet crease patterns that folds into origami bellows, whose axial…

In this study, we examine a rapid and reversible origami folding method by exploiting a combination of resonance excitation, asymmetric multi-stability, and active control. The underlying idea is that, by harmonically exciting a…

Applied Physics · Physics 2020-06-11 Sahand Sadeghi , Suyi Li

The ancient paper craft of kirigami has recently emerged as a potential tool for the design of functional materials. Inspired by the kirigami concept, we propose a class of kirigami-based metamaterials whose electromagnetic functionalities…

Classical Physics · Physics 2018-09-03 Liqiao Jing , Zuojia Wang , Bin Zheng , Huaping Wang , Yihao Yang , Lian Shen , Wenyan Yin , Erping Li , Hongsheng Chen

Origami-based structures play an important role in the realization of deployable mechanisms and unique mechanical properties via programmable deformation by folding. Among origami-based structures, tessellation by the coupling of origami…

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

We systematically study phase transformations from one helical structure to another. Motivated in part by recent work that relates the presence of compatible interfaces with properties such as the hysteresis and reversibility of a phase…

Soft Condensed Matter · Physics 2019-07-24 Fan Feng , Paul Plucinsky , Richard D. James

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

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

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

Kirigami, the traditional paper-cutting craft, holds immense potential for revolutionizing robotics by providing multifunctional, lightweight, and adaptable solutions. Kirigami structures, characterized by their bending-dominated…

Robotics · Computer Science 2025-10-09 Saravana Prashanth Murali Babu , Aida Parvaresh , Ahmad Rafsanjani

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

Yoshimura origami is a classical folding pattern that has inspired many deployable structure designs. Its applications span from space exploration, kinetic architectures, and soft robots to even everyday household items. However, despite…

Robotics · Computer Science 2024-08-26 Vishrut Deshpande , Yogesh Phalak , Ziyang Zhou , Ian Walker , Suyi Li

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…

Applied Physics · Physics 2025-09-10 Munkyun Lee , Joseph M. Gattas , Tomohiro Tachi
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