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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…

Soft Condensed Matter · Physics 2023-10-13 Asma Karami , Adam Reddy , Hussein Nassar

We investigate the size-dependent behavior of Miura-ori-based origami tessellations by changing the number of origami unit cells. For large tessellations, the Miura-ori sheet generally exhibits a negative in-plane Poisson's ratio, whereas…

Applied Physics · Physics 2026-02-26 Chaewon Baek , Tomohiro Tachi , Jinkyu Yang , Hiromi Yasuda

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…

Soft Condensed Matter · Physics 2022-07-19 Hussein Nassar , Arthur Lebée , Emily Werner

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

The ability to control Poisson's ratio of functional materials has been one of the main objectives of researchers attempting to develop structures efficient from the perspective of protective, biomedical and soundproofing devices. This task…

Mechanical metamaterials with complex microstructures have superior physical properties such as graded stiffness, negative Poisson's ratio, and advantage in energy absorption. In recent years, origami provide many inspirations in the…

Soft Condensed Matter · Physics 2020-12-18 Yunfang Yang , Zhong You

The ability to change significantly mechanical and wave propagation properties of a structure without rebuilding it has been one of the main challenges in the field of mechanical metamaterials. This stems from the enormous appeal that,…

Materials Science · Physics 2023-06-30 K. K. Dudek , J. A. Iglesias Martínez , G. Ulliac , L. Hirsinger , L. Wang , V. Laude , M. Kadic

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 mechanical environment of a substrate plays a key role in influencing the behavior of adherent biological cells. Traditional tunable substrates have limitations as their mechanical properties cannot be dynamically altered in-situ during…

Soft Condensed Matter · Physics 2025-11-12 Manu Sebastian , Sreenath Balakrishnan , Safvan Palathingal

Although recent developments in 3D printing technology have made it possible to fabricate metamaterials with characteristic mechanical properties, it is not easy to fabricate complex shapes containing cavities. In this study, a composite…

Applied Physics · Physics 2023-02-27 Daichi Akamatsu , Yuki Noguchi , Kei Matsushima , Yuji Sato , Jun Yanagimoto , Takayuki Yamada

Non-rigid origami patterns could provide more versatile performance than their rigid counterparts in the design of mechanical metamaterials owing to the simultaneous deformation of facets and creases, but their complex deformation modes…

Soft Condensed Matter · Physics 2021-09-28 Shixi Zang , Jiayao Ma , Yan Chen

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…

Soft Condensed Matter · Physics 2023-12-20 Michael Czajkowski , James McInerney , Andrew M. Wu , D. Zeb Rocklin

In recent years, there has been a notable increase in the significance of active mechanical metamaterials capable of being remotely manipulated through changes in external stimuli. While research in this area has achieved considerable…

Applied Physics · Physics 2025-03-12 K. K. Dudek , J. A. Iglesias Martínez , L. Hirsinger , M. Kadic , M. Devel

Finite Element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that in shearing deformations the corresponding normal stress distribution can…

Soft Condensed Matter · Physics 2013-02-13 Michel Destrade , Michael D. Gilchrist , Julie Motherway , Jerry G. Murphy

We design two-dimensional (2D) mechanical metamaterials that may be deformed substantially at little or no energy cost. Examples of such deformable structures are assemblies of rigid isosceles triangles hinged in their corners on the…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 Zhibin Gao , Dan Liu , David Tomanek

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

Although Poisson's ratio, v, is a quantity of great importance in materials design, presently, very few methods are available to measure it at small (micrometre) scales and those typically involve intensive geometric refinement of the…

Materials Science · Physics 2021-03-09 Owen Brazil , George Pharr

A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topology optimization together with a mixed stress/deformation…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Guodong Zhang , Kapil Khandelwal

Metamaterials can enable unique mechanical properties based on their geometry rather than their chemical composition. Such properties can go beyond what is possible using conventional materials. Most of the existing literature consider…

Applied Physics · Physics 2025-02-04 Mohamed Roshdy , Osama R. Bilal

Geometrical frustration induced anisotropy and inhomogeneity are explored to achieve unique properties of metamaterials that set them apart from conventional materials. According to Neumann's principle, to achieve anisotropic responses, the…

Materials Science · Physics 2023-02-28 Ke Liu , Phanisri P. Pratapa , Diego Misseroni , Tomohiro Tachi , Glaucio H. Paulino
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