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On the practicability of pentamode mechanical metamaterials

TLDR
In this article, the pentamode theoretical ideal suggested by Milton and Cherkaev in 1995 can be approximated by a metamaterial with current state-of-the-art lithography.
Abstract
Conceptually, all conceivable three-dimensional mechanical materials can be built from pentamode materials. Pentamodes also enable to implement three-dimensional transformation elastodynamics—the analogue of transformation optics. However, pentamodes have not been realized experimentally. Here, we investigate inasmuch the pentamode theoretical ideal suggested by Milton and Cherkaev in 1995 can be approximated by a metamaterial with current state-of-the-art lithography. Using numerical calculations calibrated by our fabricated three-dimensional microstructures, we find that the figure of merit, i.e., the ratio of bulk modulus to shear modulus, can realistically be made as large as about 1000.

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Citations
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Controlling sound with acoustic metamaterials

TL;DR: In this article, a review of the design and properties of active acoustic metamaterials can be found, as well as an overview of future directions in the field of sound manipulation.
Journal ArticleDOI

Flexible mechanical metamaterials

TL;DR: In this article, the design principles leading to these properties are identified and discussed, in particular, linear and mechanism-based metamaterials (such as origami-based and kirigami based metammaterials), harnessing instabilities and frustration, and topological and nonlinear metam materials.
Journal ArticleDOI

Acoustic metamaterials: From local resonances to broad horizons.

TL;DR: This review traces the development of acoustic metamaterials from the initial findings of mass density and bulk modulus frequency dispersions in locally resonant structures to the diverse functionalities afforded by the perspective of negative constitutive parameter values, and their implications for acoustic wave behaviors.
Journal ArticleDOI

Mechanical metamaterials associated with stiffness, rigidity and compressibility: a brief review

TL;DR: In this article, a clear classification of mechanical metamaterials have been established based on the fundamental material mechanics, which can be divided into strong-lightweight (E/ρ), pattern transformation with tunable stiffness, negative compressibility (−4G/3), and strong light-weight (S/ρ).
Journal ArticleDOI

Resilient 3D hierarchical architected metamaterials

TL;DR: It is shown, through a combination of experiments and computations, that introducing hierarchy into the architecture of 3D structural metamaterials enables the attainment of a unique combination of properties: ultralightweight, recoverability, and a near-linear scaling of stiffness and strength with density.
References
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Journal ArticleDOI

Controlling Electromagnetic Fields

TL;DR: This work shows how electromagnetic fields can be redirected at will and proposes a design strategy that has relevance to exotic lens design and to the cloaking of objects from electromagnetic fields.
Journal ArticleDOI

Metamaterial Electromagnetic Cloak at Microwave Frequencies

TL;DR: This work describes here the first practical realization of a cloak of invisibility, constructed with the use of artificially structured metamaterials, designed for operation over a band of microwave frequencies.
MonographDOI

The Theory of Composites

TL;DR: Some of the greatest scientists including Poisson, Faraday, Maxwell, Rayleigh, and Einstein have contributed to the theory of composite materials Mathematically, it is the study of partial differential equations with rapid oscillations in their coefficients Although extensively studied for more than a hundred years, an explosion of ideas in the last five decades has dramatically increased our understanding of the relationship between the properties of the constituent materials, the underlying microstructure of a composite, and the overall effective moduli which govern the macroscopic behavior as mentioned in this paper.
Journal ArticleDOI

Poisson's ratio and modern materials

TL;DR: On the bicentenary of the publication of Poisson's Traité de Mécanique, the continuing relevance of Poissons's ratio in the understanding of the mechanical characteristics of modern materials is reviewed.
Journal ArticleDOI

Three-Dimensional Invisibility Cloak at Optical Wavelengths

TL;DR: A three-dimensional invisibility-cloaking structure operating at optical wavelengths based on transformation optics is designed and realized and uses a woodpile photonic crystal with a tailored polymer filling fraction to hide a bump in a gold reflector.
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