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We report a three-dimensional mechanical metamaterial that simultaneously possesses negative stiffness, negative bulk modulus, and negative Poisson's ratio. This metamaterial is a periodic arrangement of binder-shell elements. Under…

Materials Science · Physics 2019-08-28 Zian Jia , Lifeng Wang

We consider some nonlinear phenomena in metamaterials with negative refractive index properties. Our consideration includes a survey of previously known results as well as identification of the phenomena that are important for applications…

Pattern Formation and Solitons · Physics 2009-11-13 Andrei I. Maimistov , Ildar R. Gabitov

Negative refraction is known to occur in materials that simultaneously possess a negative electric permittivity and magnetic permeability; hence they are termed negative index materials. However, there are no known natural materials that…

Mechanical metamaterials are artificial composites with tunable advanced mechanical properties. Particularly interesting types of mechanical metamaterials are flexible metamaterials, which harness internal rotations and instabilities to…

Soft Condensed Matter · Physics 2020-01-15 David M. J. Dykstra , Joris Busink , Bernard Ennis , Corentin Coulais

We discuss and clarify some misleading statements appeared in a recent article on negative refraction in metamaterials. In this comment, we straighten the physical meaning and underlying phenomena behind negative refraction and negative…

Optics · Physics 2012-10-17 George Eleftheriades , Andrea Alu

Well-established textbook arguments suggest that static electric susceptibility must be positive in "all bodies" [1]. However, it has been pointed out that media that are not in thermodynamic equilibrium are not necessarily subject to this…

Applied Physics · Physics 2020-01-29 F. Castles , J. A. J. Fells , D. Isakov , S. M. Morris , A. Watt , P. S. Grant

We state and compare four different definitions of magnetic permeability for periodic, artificial media, or metamaterials. The connection between them, and properties in general, are discussed in detail, including causality, passivity,…

Classical Physics · Physics 2019-02-11 Johannes Skaar , Hans Olaf Hågenvik , Christopher A. Dirdal

Flexible mechanical metamaterials are compliant structures engineered to achieve unique properties via the large deformation of their components. While their static character has been studied extensively, the study of their dynamic…

Applied Physics · Physics 2023-02-22 Bolei Deng , Jordan R. Raney , Katia Bertoldi , Vincent Tournat

We introduce the concept of magnetoelastic metamaterials with electromagnetic properties depending on elastic deformation. We predict a strong nonlinear and bistable response of such metamaterials caused by their structural reshaping in…

The subject of mechanical metamaterials has been gaining significant attention, however, their widespread application is still halted. Such materials are usually considered as stand-alone, vis-\`a-vis all characteristic length scales being…

Materials Science · Physics 2021-08-17 Adrianos E. F. Athanasiadis , Marcelo A. Dias , Michal K. Budzik

To discuss the properties of metamaterials on physical grounds and to consider them in applications, effective material parameters are usually introduced and assigned to a given metamaterial. In most cases, only weak spatial dispersion is…

A concept of a planar modular mechanical metamaterial inspired by the nature's principle of local adaptivity is proposed. The metamaterial consists of identical pieces similar to jigsaw puzzle tiles. Their rotation within assembly provides…

Materials Science · Physics 2018-09-12 V. Nežerka , M. Somr , T. Janda , J. Vorel , M. Doškář , J. Antoš , J. Zeman , J. Novák

We analyze nonlinear properties of microstructured materials with negative refraction, the so-called left-handed metamaterials. We consider a two-dimensional periodic structure created by arrays of wires and split-ring resonators embedded…

Materials Science · Physics 2007-05-23 Alexander A. Zharov , Ilya V. Shadrivov , Yuri S. Kivshar

Rapid progress in additive manufacturing methods has created a new class of ultralight and strong architected metamaterials that resemble periodic truss structures. The mechanical performance of these metamaterials with a very large number…

Materials Science · Physics 2021-06-09 Angkur Jyoti Dipanka Shaikeea , Huachen Cui , Mark R. O'Masta , Xiaoyu , Zheng , Vikram S. Deshpande

Learning to change shape is a fundamental strategy of adaptation and evolution of living organisms, from bacteria and cells to tissues and animals. Human-made materials can also exhibit advanced shape morphing capabilities, but lack the…

Soft Condensed Matter · Physics 2025-10-31 Yao Du , Ryan van Mastrigt , Jonas Veenstra , Corentin Coulais

Mechanical metamaterials present a promising platform for seemingly impossible mechanics. They often require incompatibility of their elementary building blocks, yet a comprehensive understanding of its role remains elusive. Relying on an…

Soft Condensed Matter · Physics 2021-06-16 Ben Pisanty , Erdal C. Oguz , Cristiano Nisoli , Yair Shokef

Mechanical metamaterials -- structures with unusual properties that emerge from their internal architecture -- that are designed to undergo large deformations typically exploit large internal rotations, and therefore, necessitate the…

Soft Condensed Matter · Physics 2024-08-30 A. S. Meeussen , G. Bordiga , A. X. Chang , B. Spoettling , K. P. Becker , L. Mahadevan , K. Bertoldi

Recently it has been shown that due to losses the claims on observation of negative refraction using metamaterials are questionable. In this paper we discus an interesting case that is based in almost zero permeability at a given frequency:…

Condensed Matter · Physics 2007-05-23 N. Garcia , M. Munoz , E. V. Ponizovskaya , M. Nieto-Vesperinas

Metamaterials are artificial composite structures designed for controlling waves or fields, and exhibit interaction phenomena that are unexpected on the basis of their chemical constituents. These phenomena are encoded in effective material…

Materials Science · Physics 2015-12-21 Mihai Caleap , Bruce W Drinkwater

By coupling controllable quantum systems into larger structures we introduce the concept of a quantum metamaterial. Conventional meta-materials represent one of the most important frontiers in optical design, with applications in diverse…