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Auxetic materials (materials with negative Poisson's ratio) and nanomaterials have independently been for many years two of the most active research fields in material science. Recently, these formerly independent fields have begun to…

Materials Science · Physics 2016-10-18 Jin-Wu Jiang , Sung Youb Kim , Harold S. Park

Elastic anisotropy might be a combined effect of the intrinsic anisotropy and the anisotropy induced by thin-layering. The Backus average, a useful mathematical tool, allows us to describe such an effect quantitatively. The results are…

Geophysics · Physics 2021-01-08 Filip P. Adamus

When randomly displacing the nodes of a crystalline and unstressed spring network, we find that the Possion's ratio decreases with the increase of structural disorder and even becomes negative. Employing our finding that longer springs tend…

Soft Condensed Matter · Physics 2019-05-29 Jun Liu , Yunhuan Nie , Hua Tong , Ning Xu

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

Additively manufactured auxetic structures offer desirable qualities like lightweight, good energy absorption, excellent indentation resistance, high shear stiffness and fracture toughness among others. A wide range of materials from…

Materials Science · Physics 2025-10-31 Sima Farshbaf , Narges Dialami , Miguel Cervera

Materials with negative Poisson's ratio, also known as auxetic materials, display exotic properties such as expansion in all directions under uni-axial tension. For their unique properties, these materials find a broad range of applications…

Soft Condensed Matter · Physics 2025-06-05 Sairam Pamulaparthi Venkata , Valentina Balbi , Michel Destradea , Dino Accoto , Giuseppe Zurlo

Anisotropy describes the directional dependence of a material's properties such as transport and optical response. In conventional bulk materials, anisotropy is intrinsically related to the crystal structure, and thus not tunable by the…

Materials Science · Physics 2017-02-10 Ting Cao , Zhenglu Li , Diana Y. Qiu , Steven G. Louie

The lower bound usually cited for Poisson's ratio {\nu} is -1, derived from the relationship between {\nu} and the bulk and shear moduli. From consideration of the longitudinal and biaxial moduli, we recently determined that the lower bound…

Materials Science · Physics 2015-06-04 P. H. Mott , C. M. Roland

Optical and electronic properties of black phosphorus strongly depend on the number of layers and type of stacking. Using first-principles calculations within the framework of density functional theory, we investigate the electronic…

Mesoscale and Nanoscale Physics · Physics 2017-09-07 Cem Sevik , John R. Wallbank , Oguz Gulseren , Francois M. Peeters , Deniz Cakır

Recently fabricated two dimensional (2D) phosphorene crystal structures have demonstrated great potential in applications of electronics. Mechanical strain was demonstrated to be able to significantly modify the electronic properties of…

Materials Science · Physics 2014-07-02 Qun Wei , Xihong Peng

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

Stretching an elastic material along one axis typically induces contraction along the transverse axes, a phenomenon known as the Poisson effect. From these strains, one can compute the specific volume, which generally either increases or,…

Soft Condensed Matter · Physics 2024-07-31 Jordan L. Shivers , Fred C. MacKintosh

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

This paper focuses on the conditions for obtaining auxetic, i.e. with a negative Poisson's ratio, composite laminates made of specially orthotropic layers. In particular, the layers considered are of three types: R1-orthotropic, i.e.…

Mathematical Physics · Physics 2025-07-01 Paolo Vannucci

Anisotropic two-dimensional layered materials with low-symmetric lattices have attracted increasing attention due to their unique orientation-dependent mechanical properties. Black arsenic (b-As), with the puckered structure, exhibits…

Materials Science · Physics 2023-09-29 Jingjing Zhang , Shang Chen , Guoshuai Du , Yunfei Yu , Wuxiao Han , Qinglin Xia , Ke Jin , Yabin Chen

A remarkable theoretical prediction for a crystalline (polymerized) surface is that its Poisson ratio (\sigma) is negative. Using a large scale Monte Carlo simulation of a simple model of such surfaces we show that this is indeed true. The…

Statistical Mechanics · Physics 2016-08-31 Marco Falcioni , Mark Bowick , Emmanuel Guitter , Gudmar Thorleifsson

We report first principle calculations of electronic and mechanical properties of few-layer borophene with the inclusion of interlayer van der Waals (vdW) interaction. The anisotropic metallic behaviors are preserved from monolayer to…

Materials Science · Physics 2018-08-15 Hongxia Zhong , Kaixiang Huang , Guodong Yu , Shengjun Yuan

Silicon dioxide or silica, normally existing in various bulk crystalline and amorphous forms, is recently found to possess a two-dimensional structure. In this work, we use ab initio calculation and evolutionary algorithm to unveil three…

Materials Science · Physics 2018-01-29 Zhibin Gao , Xiao Dong , Nianbei Li , Jie Ren

This work proposes the complete design cycle for several auxetic materials where the cycle consists of three steps (i) the design of the micro-architecture, (ii) the manufacturing of the material and (iii) the testing of the material. We…

Applied Physics · Physics 2024-03-04 Filippo Agnelli , Andrei Constantinescu , Grigor Nika

We perform classical molecular dynamics to investigate the effects of mechanical strain on single-layer black phosphorus nanoresonators at different temperatures. We find that the resonant frequency is highly anisotropic in black phosphorus…

Materials Science · Physics 2016-01-20 Cui-Xia Wang , Chao Zhang , Jin-Wu Jiang , Harold S. Park , T. Rabczuk