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As a basic mechanical parameter, Poisson's ratio ({\nu}) measures the mechanical responses of solids against external loads. In rare cases, materials have a negative Poisson's ratio (NPR), and present an interesting auxetic effect. That is,…

Materials Science · Physics 2016-11-04 Haidi Wang , Xingxing Li , Pai Li , Jinlong Yang

We show that under tension, a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintutively, have a negative Poisson's ratio, or auxetic behavior. We derive the conditions under which the…

Materials Science · Physics 2009-11-13 Mikael C. Rechtsman , Frank H. Stillinger , Salvatore Torquato

A material exhibiting a negative Poisson's ratio is always one of the leading topics in materials science, which is due to the potential applications in those special areas such as defence and medicine. In this letter, we demonstrate a new…

Materials Science · Physics 2015-06-23 Jianwei Han , Jiafeng Xie , Z. Y. Zhang , D. Z. Yang , M. S. Si , D. S. Xue

Most materials exhibit positive Poisson's ratio (PR) values but special structures can also present negative and, even rarer, zero (or close to zero) PR. Null PR structures have received much attention due to their unusual properties and…

In this paper we propose a new lattice structure having macroscopic Poisson's ratio arbitrarily close to the stability limit -1. We tested experimentally the effective Poisson's ratio of the micro-structured medium; the uniaxial test has…

Classical Physics · Physics 2015-06-22 L. Cabras , M. Brun

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

We examine a fundamental material property called Poisson's ratio, which establishes the relationship for the relative deformation of a physical system in orthogonal directions. Architects and engineers have designed advanced systems using…

Poisson ratio is an important mechanical property that reveals the deformation patterns of materials. A positive Poisson ratio is a feature of the majority of materials. Some materials, however, display auxetic behaviors (i.e. possess…

Classical Physics · Physics 2018-02-08 S. Faroughi , M. Shaat

We study the elastic response of composites of rods embedded in elastic media. We calculate the micro-mechanical response functions, and bulk elastic constants as functions of rod density. We find two fixed points for Poisson's ratio with…

Materials Science · Physics 2013-05-29 Moumita Das , F. C. MacKintosh

In recent years, new flexible functional materials have attracted increasing interest, but there is a lack of the designing mechanisms of flexibility design with superstructures. In traditional engineering mechanics, the maximum bending…

Soft Condensed Matter · Physics 2023-09-06 Yang Li , Le Zhang , Dehua Wang , Limei Hou , Shanmei Du , Yang Deng , Yanfeng Du , Yingfei Xin , Chongyang Fu , Yan Gu , Xiaoxiong Wang

The problem of obtaining anisotropic auxetic composite laminates, i.e. having a negative Poisson's ratio for at least some directions, is examined in this paper. In particular, the possibility of obtaining auxeticity stacking…

Applied Physics · Physics 2024-06-05 Paolo Vannucci

Auxetic materials are of great engineering interest not only because of their fascinating negative Poisson's ratio, but also due to their increased toughness and indentation resistance. These materials are typically synthesized polyester…

Materials Science · Physics 2018-12-05 Maryam Hanifpour , Charlotte F. Petersen , Mikko J. Alava , Stefano Zapperi

We present the results of numerical simulation of elastic properties of phagraphene, a recently predicted but not synthesized yet quasi-two-dimensional allotrope of graphene. We show that the Poisson'ss ratio is positive for the planar…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 L. A. Openov , A. I. Podlivaev

We have recently proposed an efficient computation method for the frictionless linear elastic axisymmetric contact of coated bodies [A. Perriot and E. Barthel, J. Mat. Res. 19 (2004) 600]. Here we give a brief description of the approach.…

Materials Science · Physics 2009-11-11 Etienne Barthel , Antoine Perriot , Antoine Chateauminois , Christian Frétigny

The use of discrete material representation in numerical models is advantageous due to the straightforward way it takes into account material heterogeneity and randomness, and the discrete and orientated nature of cracks. Unfortunately, it…

Computational Engineering, Finance, and Science · Computer Science 2023-06-29 Jan Eliáš

Negative Poisson's ratio (NPR) materials have drawn significant interest because the enhanced toughness, shear resistance and vibration absorption that typically are seen in auxetic materials may enable a range of novel applications. In…

Materials Science · Physics 2016-08-15 Jin-Wu Jiang , Tienchong Chang , Xingming Guo , Harold S. Park

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

Architected 2D lattice materials are appealing for shape-shifting applications due to the tunable sign of Poisson's ratio. It is commonly believed that the positive and negative Poisson's ratios lead to anticlastic and synclastic curvatures…

Soft Condensed Matter · Physics 2022-11-04 Yu Yao , Yong Ni , Ling-hui He

Anisotropic laminates with a negative Poisson's ratio for at least some directions are called auxetic. In this paper, we consider the conditions for optimizing the auxeticity of an orthotropic laminate, namely: for a laminate composed by a…

Mathematical Physics · Physics 2024-06-14 Paolo Vannucci

The in-plane infinitesimal deformations of graphene are well understood: they can be computed by solving the equilibrium problem for a sheet of isotropic elastic material with suitable stretching stiffness and Poisson coefficient…

Materials Science · Physics 2017-08-02 Cesare Davini , Antonino Favata , Roberto Paroni