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Thin elastic sheets bend easily and, if they are patterned with cuts, can deform in sophisticated ways. Here we show that carefully tuning the location and arrangement of cuts within thin sheets enables the design of mechanical actuators…

We consider several quadrilateral origami tilings, including the Miura-ori crease pattern, allowing for crease-reversal defects above the ground state which maintain local flat-foldability. Using exactly solvable models, we show that these…

Mathematical Physics · Physics 2018-09-12 Michael Assis

Nematic elastomers and glasses are solids that display spontaneous distortion under external stimuli. Recent advances in the synthesis of sheets with controlled heterogeneities have enabled their actuation into non-trivial shapes with…

Soft Condensed Matter · Physics 2016-08-24 Paul Plucinsky , Marius Lemm , Kaushik Bhattacharya

Granular media near jamming exhibit fascinating properties, which can be harnessed to create jammed-granulate metamaterials: materials whose characteristics arise not only from the shape and material properties of the particles at the…

Applied Physics · Physics 2025-04-09 Holger Götz , Thorsten Pöschel , Olfa D'Angelo

People are constantly in touch with surfaces in their lives, such as a sofa, armrest, and table, making them natural tactile interfaces. Despite the recent advancements in shape-changing surfaces, current available solutions are often…

Human-Computer Interaction · Computer Science 2025-11-06 Shubham Rohal , Shijia Pan

We investigate the graphs formed from the vertices and creases of an origami pattern that can be folded flat along all of its creases. As we show, this is possible for a tree if and only if the internal vertices of the tree all have even…

Computational Geometry · Computer Science 2019-07-16 David Eppstein

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

Origami structures have been widely explored in robotics due to their many potential advantages. Origami robots can be very compact, as well as cheap and efficient to produce. In particular, they can be constructed in a flat format using…

Robotics · Computer Science 2023-08-01 Samira Zare , Alex Spaeth , Sandya Suresh , and Mircea Teodorescu

Origami structures are characterized by a network of folds and vertices joining unbendable plates. For applications to mechanical design and self-folding structures, it is essential to understand the interplay between the set of folds in…

Soft Condensed Matter · Physics 2018-03-01 Bryan Gin-ge Chen , Christian D. Santangelo

For centuries, cutting and folding the papers with special patterns have been used to build beautiful, flexible and complex three-dimensional structures. Inspired by the old idea of kirigami (paper cutting), and the outstanding properties…

Mesoscale and Nanoscale Physics · Physics 2017-11-03 Bohayra Mortazavi , Aurélien Lherbier , Zheyong Fan , Ari Harju , Timon Rabczuk , Jean-Christophe Charlier

This paper focuses on packaging design using origami techniques, specifically designs incorporating curves, known as pillow boxes. While conventional paper packaging boxes are typically cuboid, pillow box designs include curved surfaces,…

Computational Geometry · Computer Science 2024-10-24 Jun Mitani

Fully soft bistable mechanisms have shown extensive applications ranging from soft robotics, wearable devices, and medical tools, to energy harvesting. However, the lack of design and fabrication methods that are easy and potentially…

Robotics · Computer Science 2023-02-15 Mrunmayi Mungekar , Leixin Ma , Wenzhong Yan , Vishal Kackar , Shyan Shokrzadeh , M. Khalid Jawed

We investigate the mechanical response of thin sheets perforated with a square array of mutually orthogonal cuts, which leaves a network of squares connected by small ligaments. Our combined analytical, experimental and numerical results…

Soft Condensed Matter · Physics 2017-03-06 Ahmad Rafsanjani , Katia Bertoldi

Origami has recently received significant interest from the scientific community as a building block for constructing metamaterials. However, the primary focus has been placed on their kinematic applications, such as deployable space…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Hiromi Yasuda , Tomohiro Tachi , Mia Lee , Jinkyu Yang

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…

Kirigami patterned materials have found several applications in recent years due to their ability to assume complicated shapes and exhibit emergent physical properties when exposed to external forces. Consisting of an array of cuts in a…

Fluid Dynamics · Physics 2023-11-17 Adrian G. Carleton , Yahya Modarres-Sadeghi

The ancient art of origami, traditionally used to transform simple sheets into intricate objects, also holds potential for diverse engineering applications, such as shape morphing and robotics. In this study, we demonstrate that one of the…

Robotics · Computer Science 2024-10-29 Davood Farhadi , Laura Pernigoni , David Melancon , Katia Bertoldi

Inspired by the allure of additive fabrication, we pose the problem of origami design from a new perspective: how can we grow a folded surface in three dimensions from a seed so that it is guaranteed to be isometric to the plane? We solve…

Soft Condensed Matter · Physics 2021-05-19 Levi H. Dudte , Gary P. T. Choi , L. Mahadevan

Non-Euclidean surfaces are ubiquitous in numerous engineering fields, such as automotive, aerospace, and biomedical engineering domains. Morphing origami has numerous potential engineering applications, including soft robots, mechanical…

Materials Science · Physics 2023-12-13 Zihe Liang , Sibo Chai , Qinyun Ding , Kai Xiao , Ke Liu , Jiayao Ma , Jaehyung Ju

In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of functionally graded material (FGM) plates.…

Numerical Analysis · Mathematics 2013-06-21 S Natarajan , AJM Ferreira , S Bordas , E Carrera , M Cinefra , AM Zenkour