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Recently there have been extensive theoretical, numerical and experimental works on curved-fold origami. However, we notice that a unified and complete geometric framework for describing the geometry and mechanics of curved-fold origami,…

Soft Condensed Matter · Physics 2025-03-12 Zhixuan Wen , Tian Yu , Fan Feng

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…

Graphics · Computer Science 2026-01-05 Qixin Liang

Origami-inspired robotic grippers have shown promising potential for object manipulation tasks due to their compact volume and mechanical flexibility. However, robust capture of objects with random shapes in dynamic working environments…

Robotics · Computer Science 2026-04-30 Alec Boron , Bokun Zheng , Ziyang Zhou , Noel Naughton , Suyi Li

We present an additive approach for the inverse design of kirigami-based mechanical metamaterials by focusing on the empty (negative) spaces instead of the solid tiles. By considering each negative space as a four-bar linkage, we identify a…

Soft Condensed Matter · Physics 2023-05-29 Levi H. Dudte , Gary P. T. Choi , Kaitlyn P. Becker , L. Mahadevan

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

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

Coupling between axial and torsional degrees of freedom often modifies the conformation and expression of natural and synthetic filamentous aggregates. Recent studies on chiral single-walled carbon nanotubes and B-DNA reveal a reversal in…

Materials Science · Physics 2007-09-06 M. Upmanyu , H. L. Wang , H. Y. Liang , R. Mahajan

The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of physical growth and non-self-interpenetration. While the…

Analysis of PDEs · Mathematics 2023-03-29 Wolf-Patrick Düll , Dominik Engl , Carolin Kreisbeck

We use the oxDNA coarse-grained model to provide a detailed characterization of the fundamental structural properties of DNA origamis, focussing on archetypal 2D and 3D origamis. The model reproduces well the characteristic pattern of helix…

Soft Condensed Matter · Physics 2019-02-21 Benedict E. K. Snodin , John S. Schreck , Flavio Romano , Ard A. Louis , Jonathan P. K. Doye

The existing theory of incompatible elastic sheets uses the deviation of the surface metric from a reference metric to define the strain tensor [Efrati et al., J. Mech. Phys. Solids {\bf 57}, 762 (2009)]. For a class of simple axisymmetric…

Soft Condensed Matter · Physics 2017-05-24 Oz Oshri , Haim Diamant

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 work harnesses interpretable machine learning methods to address the challenging inverse design problem of origami-inspired systems. We show that a decision tree-random forest method is particularly suitable for fitting origami…

Soft Condensed Matter · Physics 2022-11-15 Yi Zhu , Evgueni T. Filipov

In recent years, the 'kirigami' technique has gained significant attention for creating meta-structures and meta-materials with exceptional characteristics, such as unprecedented stretchability. These properties, not typically inherent in…

Computational Physics · Physics 2023-09-07 K. Dey , S. Shahriar , M. A. R. Anan , P. Malakar , M. M. Rahman , M. M. Chowdhury

Nature provides examples of self-assemble lightweight disordered network structures with remarkable mechanical properties which are desirable for many applications purposes but challenging to reproduce artificially. Previous experimental…

Soft Condensed Matter · Physics 2019-03-27 Daniel Rayneau-Kirkhope , Silvia Bonfanti , Stefano Zapperi

Adaptation to various scene configurations and object properties, stability and dexterity in robotic grasping manipulation is far from explored. This work presents an origami-based shape morphing fingertip design to actively tackle the…

Robotics · Computer Science 2020-10-13 Zicheng Kan , Yazhan Zhang , Chohei Pang , Michael Yu Wang

Kirigami are part of the larger class of mechanical metamaterials, which exhibit exotic properties. This article focuses on rhombi-slits, which is a specific type of kirigami. A nonlinear kinematic model was previously proposed as a second…

Numerical Analysis · Mathematics 2025-11-14 Frederic Marazzato

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

Self-shaping of curved structures, especially those involving flexible thin layers, has attracted increasing attention because of their broad potential applications in e.g. nanoelectromechanical/micro-electromechanical systems (NEMS/MEMS),…

Soft Condensed Matter · Physics 2015-12-17 Zi Chen , Gaoshan Huang , Ian Trase , Xiaomin Han , Yongfeng Mei

This letter solves an open question of origami paper spring risen by Yoneda et al.(Phys. Rev. E 2019). By using both dimensional analysis and data fitting, a universal scaling law of a paper spring is formulated. The scaling law shows that…

General Physics · Physics 2020-03-02 Bohua Sun

A new continuous model of shearable rod, subject to large elastic deformation, is derived from nonlinear homogenization of a one-dimensional periodic microstructured chain. As particular cases, the governing equations reduce to the Euler…

Soft Condensed Matter · Physics 2025-03-24 M. Paradiso , F. Dal Corso , D. Bigoni