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We find a closed-form expression for the Poisson's coefficient of curved-crease variants of the ``Miura ori'' origami tessellation. This is done by explicitly constructing a continuous one-parameter family of isometric piecewise-smooth…

软凝聚态物质 · 物理学 2023-10-13 Asma Karami , Adam Reddy , Hussein Nassar

Origami metamaterials are known to display highly tunable Poisson's ratio values depending on their folded state. Most studies on the Poisson effects in deployable origami tessellations are restricted to theory and simulation. Experimental…

经典物理 · 物理学 2022-11-29 Diego Misseroni , Phanisri P. Pratapa , Ke Liu , Glaucio H. Paulino

The principles of origami design have proven useful in a number of technological applications. Origami tessellations in particular constitute a class of morphing metamaterials with unusual geometric and elastic properties. Although…

软凝聚态物质 · 物理学 2022-07-19 Hussein Nassar , Arthur Lebée , Emily Werner

Creating complex spatial objects from a flat sheet of material using origami folding techniques has attracted attention in science and engineering. In the present work, we employ geometric properties of partially folded zigzag strips to…

材料科学 · 物理学 2015-09-25 Maryam Eidini , Glaucio H. Paulino

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…

软凝聚态物质 · 物理学 2024-10-04 Yanxin Feng , Andrew Wu , James McInerney , Siddhartha Sarkar , Xiaoming Mao , D. Zeb Rocklin

Origami has shown the potential to approximate three-dimensional curved surfaces by folding through designed crease patterns on flat materials. The Miura-ori tessellation is a widely used pattern in engineering and tiles the plane when…

计算工程、金融与科学 · 计算机科学 2020-09-08 Yucai Hu , Yexin Zhou , Haiyi Liang

This paper aims to understand the role of directional material properties on the mechanical responses of origami structures. We consider the Miura-Ori structures our target model due to their collapsibility and negative Poisson's ratio…

应用物理 · 物理学 2022-12-27 Haotian Feng , Guanjin Yan , Pavana Prabhakar

Two-dimensional (2D) origami tessellations such as the Miura-ori are often generalized to build three-dimensional (3D) architected materials with sandwich or cellular structures. However, such 3D blocks are densely packed with continuity of…

软凝聚态物质 · 物理学 2025-07-02 Guowei Wayne Tu , Evgueni T. Filipov

Miura-ori is well-known for its capability of flatly folding a sheet of paper through a tessellated crease pattern made of repeating parallelograms. Many potential applications have been based on the Miura-ori and its primary variations.…

度量几何 · 数学 2020-04-09 Zeyuan He , Simon D. Guest

This paper proposes a family of origami tessellations called extruded Miura-Ori, whose folded state lies between two parallel planes with some faces on the planes, potentially useful for folded core materials because of face bonding. An…

计算几何 · 计算机科学 2020-07-21 Kai Suto , Akito Adachi , Tomohiro Tachi , Yasushi Yamaguchi

Traditionally, origami has been categorized into two groups according to their kinematics design: rigid and non-rigid origami. However, such categorization can be superficial, and rigid origami can obtain new mechanical properties by…

应用物理 · 物理学 2021-07-13 Jiayue Tao , Suyi Li

Origami metamaterial design enables drastic qualitative changes in the response properties of a thin sheet via the addition of a repeating pattern of folds based around a rigid folding motion. Known also as a mechanism, this folding motion…

软凝聚态物质 · 物理学 2023-12-20 Michael Czajkowski , James McInerney , Andrew M. Wu , D. Zeb Rocklin

Origami is the archetype of a structural material with unusual mechanical properties that arise almost exclusively from the geometry of its constituent folds and forms the basis for mechanical metamaterials with an extreme deformation…

经典物理 · 物理学 2016-11-26 Zhiyan Wei , Zengcai Guo , Levi Dudte , Haiyi Liang , L. Mahadevan

The Japanese art of turning flat sheets into 3D intricate structures, origami, has inspired design of mechanical metamaterials. Mechanical metamaterials are artificially engineered materials with uncommon properties. Miura-ori is a…

材料科学 · 物理学 2016-10-28 Maryam Eidini

We characterize the phase-space of all Helical Miura Origami. These structures are obtained by taking a partially folded Miura parallelogram as the unit cell, applying a generic helical or rod group to the cell, and characterizing all the…

软凝聚态物质 · 物理学 2020-03-18 Fan Feng , Paul Plucinsky , Richard D. James

Origami, the traditional paper-folding art, has inspired the modern design of numerous flexible structures in science and engineering. In particular, origami structures with different physical properties have been studied and utilized for…

软凝聚态物质 · 物理学 2025-07-24 Rongxuan Li , Gary P. T. Choi

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…

Origami-based mechanical metamaterials have recently received significant scientific interest due to their versatile and reconfigurable architectures. However, it is often challenging to account for all possible geometrical configurations…

We consider the zero-energy deformations of periodic origami sheets with generic crease patterns. Using a mapping from the linear folding motions of such sheets to force-bearing modes in conjunction with the Maxwell-Calladine index theorem…

软凝聚态物质 · 物理学 2020-12-24 James McInerney , Bryan Gin-ge Chen , Louis Theran , Christian Santangelo , Zeb Rocklin

Self-folding origami has emerged as a tool to make functional objects in material science. The common idea is to pattern a sheet with creases and activate them to have the object fold spontaneously into a desired configuration. This article…

软凝聚态物质 · 物理学 2019-08-20 Ling Lan
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