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Soft deployable structures - unlike conventional piecewise rigid deployables based on hinges and springs - can assume intricate 3-D shapes, thereby enabling transformative technologies in soft robotics, shape-morphing architecture, and…

Soft Condensed Matter · Physics 2023-03-21 Leixin Ma , Mrunmayi Mungekar , Vwani Roychowdhury , M. Khalid Jawed

This study examines a biology-inspired approach of using reconfigurable articulation to reduce the control requirement for soft robotic arms. We construct a robotic arm by assembling Kresling origami modules that exhibit predictable…

Applied Physics · Physics 2020-08-18 Joshua Kaufmann , Suyi Li

Flat electronic bands with tunable structures offer opportunities for the exploitation and manipulation of exotic interacting quantum states. Here, we present a controllable route to construct easily tunable flat bands in folded graphene,…

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…

Soft Condensed Matter · Physics 2018-02-09 D. Zeb Rocklin , Vincenzo Vitelli , Xiaoming Mao

The use of origami in engineering has significantly expanded in recent years, spanning deployable structures across scales, folding robotics, and mechanical metamaterials. However, finding foldable paths can be a formidable task as the…

Soft Condensed Matter · Physics 2024-09-30 Matthew Grasinger , Andrew Gillman , Philip Buskohl

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…

Discrete materials composed of masses connected by strongly nonlinear links with anomalous behavior (reduction of elastic modulus with strain) have very interesting wave dynamics. Such links may be composed of materials exhibiting…

Soft Condensed Matter · Physics 2010-08-26 Eric B Herbold , Vitali F Nesterenko

We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the creases are pre-assigned to be mountains and valleys as well as…

We combine large-scale atomistic modelling with continuum elastic theory to study the shapes of graphene sheets embedding nanoscale kirigami. Lattice segments are selectively removed from a flat graphene sheet and the structure is allowed…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 Bastien F. Grosso , E. J. Mele

Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are…

Applied Physics · Physics 2024-07-31 Samuel P. Wallen , Michael R. Haberman , Washington DeLima

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,…

Metric Geometry · Mathematics 2021-01-05 Zeyuan He , Simon D. Guest

Origami-inspired structures with rigid panels now span thick, kirigami, and multi-sheet realizations, making unified kinematic analysis essential. Yet a general method that consolidates their loop constraints has been lacking. We present an…

Robotics · Computer Science 2026-01-16 Dongwook Kwak , Geonhee Cho , Jiook Chung , Jinkyu Yang

Origami has recently emerged as a platform for building functional engineering systems with versatile characteristics that targeted niche applications. One widely utilized origami-based structure is known as the Kresling origami spring…

Applied Physics · Physics 2023-04-07 Shadi Khazaaleh , Ravindra Masana , Mohammed F. Daqaq

In this paper, we will show methods to interpret some rigid origami with higher degree vertices as the limit case of structures with degree-4 supplementary angle vertices. The interpretation is based on separating each crease into two…

Metric Geometry · Mathematics 2017-09-12 Thomas C. Hull , Tomohiro Tachi

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

Materials designed by nature commonly exhibit functional grading and laminated structures, particularly when intended for enhanced impact protection. Synthetic materials have also found success in exploiting this concept with fully dense…

Materials Science · Physics 2026-05-13 Thomas Butruille , Joshua C. Crone , Carlos M. Portela

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

Kirigami is an increasingly useful fabrication method to produce shape-programmable metamaterial structures. However, inverse design remains difficult because deployment is nonlinear, and feasible cut layouts must satisfy discrete…

Machine Learning · Computer Science 2026-05-12 Milad Yazdani , Shahriar Shalileh , Dena Shahriari

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

Kirigami-inspired metamaterials are attracting increasing interest because of their ability to achieve extremely large strains and shape changes via out-of-plane buckling. While in flat kirigami sheets the ligaments buckle simultaneously as…

Soft Condensed Matter · Physics 2019-05-02 Ahmad Rafsanjani , Lishuai Jin , Bolei Deng , Katia Bertoldi