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Manipulation of thin sheets by folding and cutting offers opportunity to engineer structures with novel mechanical properties, and to prescribe complex force-displacement relationships via material elasticity in combination with the…

Applied Physics · Physics 2017-07-13 Nigamaa Nayakanti , Sameh H. Tawfick , A. John Hart

Origami and kirigami have emerged as potential tools for the design of mechanical metamaterials whose properties such as curvature, Poisson ratio, and existence of metastable states can be tuned using purely geometric criteria. A major…

Soft Condensed Matter · Physics 2016-03-31 Bryan Gin-ge Chen , Bin Liu , Arthur A. Evans , Jayson Paulose , Itai Cohen , Vincenzo Vitelli , C. D. Santangelo

Traditional origami structures can be continuously deformed back to a flat sheet of paper, while traditional kirigami requires glue or seams in order to maintain its rigidity. In the former, non-trivial geometry can be created through…

Materials Science · Physics 2020-01-29 Xinyu Wang , Simon D. Guest , Randall D. Kamien

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

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

Kirigami metamaterials dramatically change their shape through a coordinated motion of nearly rigid panels and flexible slits. Here, we study a model system for mechanism-based planar kirigami featuring periodic patterns of quadrilateral…

Soft Condensed Matter · Physics 2023-06-16 Yue Zheng , Imtiar Niloy , Ian Tobasco , Paolo Celli , Paul Plucinsky

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…

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

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

A folded disk is bistable, as it can be popped through to an inverted state with elastic energy localized in a small, highly-deformed region on the fold. Cutting out this singularity relaxes the surrounding material and leads to a loss of…

Soft Condensed Matter · Physics 2021-05-25 T. Yu , I. Andrade-Silva , M. A. Dias , J. A. Hanna

A novel design of an elastic metamaterial with anisotropic mass density is proposed to manipulate flexural waves at a subwavelength scale. The three-dimensional metamaterial is inspired by kirigami, which can be easily manufactured by…

Applied Physics · Physics 2017-10-31 R. Zhu , H. Yasuda , G. L. Huang , J. K. Yang

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

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

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

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

A recent approach to the design of flexible electronic devices consists of cutting a two-dimensional sheet to form a central hub connected to several tapered `spokes', resembling the hub-and-spoke of a bicycle wheel. When radially…

Soft Condensed Matter · Physics 2025-04-10 Jason Barckicke , Lucie Domino , Qun Zhang , Mingchao Liu , Dominic Vella

Metamaterials with floppy modes called mechanisms are a burgeoning template for shape-morphing systems and structures across scales. Here, we present a design recipe that transforms an arbitrary plane tiling into a 2D kirigami pattern with…

Soft Condensed Matter · Physics 2026-05-04 Yingchao Peng , Asifur Rahman , Paolo Celli , Paul Plucinsky

Mechanical metamaterials exhibit exotic properties at the system level, that emerge from the interactions of many nearly rigid building blocks. Determining these emergent properties theoretically has remained an open challenge outside of a…

Soft Condensed Matter · Physics 2022-05-26 Yue Zheng , Imtiar Niloy , Paolo Celli , Ian Tobasco , Paul Plucinsky

We introduce a new class of thin flexible structures that morph from a flat shape into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are…

Applied Physics · Physics 2023-01-20 Jan Zavodnik , Yunbo Wang , Wenzhong Yan , Miha Brojan , M. Khalid Jawed

Mechanical metamaterials capable of large deformations are an emerging platform for functional devices and structures across scales. Bistable designs are particularly attractive since they endow a single object with two configurations that…

Soft Condensed Matter · Physics 2024-08-09 Yingchao Peng , Imtiar Niloy , Megan Kam , Paolo Celli , Paul Plucinsky