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Poisson's ratio and modern materials

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TLDR
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.
Abstract
In comparing a material's resistance to distort under mechanical load rather than to alter in volume, Poisson's ratio offers the fundamental metric by which to compare the performance of any material when strained elastically. The numerical limits are set by ½ and -1, between which all stable isotropic materials are found. With new experiments, computational methods and routes to materials synthesis, we assess what Poisson's ratio means in the contemporary understanding of the mechanical characteristics of modern materials. Central to these recent advances, we emphasize the significance of relationships outside the elastic limit between Poisson's ratio and densification, connectivity, ductility and the toughness of solids; and their association with the dynamic properties of the liquids from which they were condensed and into which they melt.

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Shear bands in metallic glasses

TL;DR: A comprehensive and up-to-date review on the rapid progress achieved very recently on this subject can be found in this article, where key materials-science issues of general interest, including the initiation of shear localization starting from shear transformations, the temperature and velocity reached in the propagating or sliding band, the structural evolution inside the shear-band material, and the parameters that strongly influence shearbanding are discussed.
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Penta-graphene: A new carbon allotrope

TL;DR: It is shown that penta-graphene, composed of only carbon pentagons and resembling Cairo pentagonal tiling, is dynamically, thermally, and mechanically stable, and exhibits negative Poisson's ratio, a large band gap, and an ultrahigh mechanical strength.
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Negative poisson’s ratio in single-layer black phosphorus

TL;DR: This work reports using first-principles calculations the existence of a negative Poisson's ratio in a single-layer, two-dimensional material, black phosphorus, and originates from its puckered structure, where the pucker can be regarded as a re-entrant structure that is comprised of two coupled orthogonal hinges.
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3D Soft Metamaterials with Negative Poisson's Ratio

TL;DR: Buckling is exploited to design a new class of three-dimensional metamaterials with negative Poisson's ratio and the auxetic properties of these materials exhibit excellent qualitative and quantitative agreement.
References
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Book

A treatise on the mathematical theory of elasticity

TL;DR: Webb's work on elasticity as mentioned in this paper is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity.
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XCII. Relations between the elastic moduli and the plastic properties of polycrystalline pure metals

TL;DR: In this paper, the elastic and plastic properties of pure polycrystalline metals are discussed and a systematic relation between shear modulus, Burgers vector and plastic shear strength of metals possessing the same lattice structure is proposed.
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Supercooled liquids and the glass transition

TL;DR: Current theoretical knowledge of the manner in which intermolecular forces give rise to complex behaviour in supercooled liquids and glasses is discussed.
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Bulk metallic glasses

TL;DR: In this article, the authors reviewed the recent development of new alloy systems of bulk metallic glasses and the properties and processing technologies relevant to the industrial applications of these alloys are also discussed.
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Foam structures with a negative poisson's ratio

TL;DR: A novel foam structure is presented, which exhibits a negative Poisson's ratio, and such a material expands laterally when stretched, in contrast to ordinary materials.
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