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Related papers: Nonlinear mechanics of thin frames

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The concept of kirigami has been extensively utilized to design deployable structures and reconfigurable metamaterials. Despite heuristic utilization of classical kirigami patterns, the gap between complex kirigami tessellations and…

Soft Condensed Matter · Physics 2021-11-23 Xiangxin Dang , Fan Feng , Huiling Duan , Jianxiang 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

Kirigami involves cutting a flat, thin sheet that allows it to morph from a closed, compact configuration into an open deployed structure via coordinated rotations of the internal tiles. By recognizing and generalizing the geometric…

Soft Condensed Matter · Physics 2021-10-15 Gary P. T. Choi , Levi H. Dudte , L. Mahadevan

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.…

Soft Condensed Matter · Physics 2025-01-03 Hu Xu , Ian Tobasco , Paul Plucinsky

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

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

Materials Science · Physics 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

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 metamaterials made of repeating unit cells of parallelogram panels joined at folds dramatically change their shape through a collective motion of their cells. Here we develop an effective elastic model and numerical method to study…

Soft Condensed Matter · Physics 2025-06-02 Hu Xu , Frederic Marazzato , Paul Plucinsky

We use a regular arrangement of kirigami elements to demonstrate an inverse design paradigm for folding a flat surface into complex target configurations. We first present a scheme using arrays of disclination defect pairs on the dual to…

Soft Condensed Matter · Physics 2016-02-17 Daniel M. Sussman , Yigil Cho , Toen Castle , Xingting Gong , Euiyeon Jung , Shu Yang , Randall D. Kamien

The mechanical properties of thermally excited two-dimensional crystalline membranes can depend dramatically on their geometry and topology. A particularly relevant example is the effect on the crumpling transition of holes in the membrane.…

Soft Condensed Matter · Physics 2019-10-16 D. Yllanes , D. R. Nelson , M. J. Bowick

We investigate the role of architected thin films in the interfacial failure properties of bi-layer composites. Our results show that, while graded structures can be used to prescribe failure at the interface, they do not offer significant…

Materials Science · Physics 2026-03-10 Christian Greff , Leon Pyka , Michael Zaiser , Paolo Moretti

Existing Civil Engineering structures have limited capability to adapt their configurations for new functions, non-stationary environments, or future reuse. Although origami principles provide capabilities of dense packaging and…

Applied Physics · Physics 2024-03-19 Yi Zhu , Evgueni T. Filipov

Origami principles are used to create strong, lightweight structures with complex mechanical response. However, identifying the fundamental physical principles that determine a sheet's behavior remains a challenge. We introduce a new…

Soft Condensed Matter · Physics 2024-10-04 Yanxin Feng , Andrew Wu , James McInerney , Siddhartha Sarkar , Xiaoming Mao , D. Zeb Rocklin

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

When a hole is introduced into an elastic material, it will usually act to reduce the overall mechanical stiffness. A general ambition is to investigate whether a stiff shell around the hole can act to maintain the overall mechanical…

Classical Physics · Physics 2026-03-20 Kanka Ghosh , Andreas M. Menzel

This study explores the use of origami composite structures as active aerodynamic control surfaces. Towards this goal, two origami concepts were designed leveraging a combination of analytical and finite element modeling, and computational…

Controlling the connectivity and rigidity of kirigami, i.e. the process of cutting paper to deploy it into an articulated system, is critical in the manifestations of kirigami in art, science and technology, as it provides the resulting…

Soft Condensed Matter · Physics 2023-03-31 Gary P. T. Choi , Lucy Liu , L. Mahadevan

A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam's inextensibility---local arc length preservation---rather than traditional extensible effects attributed to fully restricted…

Analysis of PDEs · Mathematics 2019-10-16 Maria Deliyianni , Varun Gudibanda , Jason Howell , Justin T. Webster

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

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