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This paper presents an auxetic medium, consisting of a two-dimensional perforated sheet where the holes are arranged in a repetitive pattern. The hexagonal disposition of the perforations makes the medium isotropic in the plane. It is shown…

Materials Science · Physics 2015-06-01 Giorgio Carta , Michele Brun , Antonio Baldi

Auxetic materials are characterized by a negative Poisson's ratio, $\mathrm{\nu}$. As the Poisson's ratio becomes negative and approaches the lower isotropic mechanical limit of $\mathrm{\nu = -1}$, materials show enhanced resistance to…

Soft Condensed Matter · Physics 2023-11-08 Daniel R. Reid , Nidhi Pashine , Alec S. Bowen , Sidney R. Nagel , Juan J. de Pablo

We propose a class of auxetic three-dimensional lattice structures. The elastic microstructure can be designed in order to have omni-directional Poisson's ratio arbitrarily close to the stability limit -1. The cubic behavior of the periodic…

Classical Physics · Physics 2016-04-20 Luigi Cabras , Michele Brun

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

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

Development of lightweight materials with enhanced mechanical properties has been a long-standing challenge in science and engineering. Lightweight auxetic metastructures (AMSs) provide attractive solutions to this problem. AMSs' negative…

Applied Physics · Physics 2025-05-13 Ali Rahimi-Lenji , Mohammad Heidari-Rarani , Mohsen Mirkhalaf , Mohammad Mirkhalaf

Auxetic materials become thicker rather than thinner when stretched, exhibiting an unusual negative Poisson's ratio well suited for designing shape transforming metamaterials. Current auxetic designs, however, are often monostable and…

Soft Condensed Matter · Physics 2016-12-20 Ahmad Rafsanjani , Damiano Pasini

Auxetic materials are a novel class of mechanical metamaterials which exhibit an interesting property of negative Poisson ratio by virtue of their architecture rather than composition. It has been well established that a wide range of…

Applied Physics · Physics 2017-08-02 Krishna Kumar Saxena , Raj Das , Emilio P Calius

Despite their outstanding mechanical properties, with many industrial applications, a rational and systematic design of new and controlled auxetic materials remains poorly developed. Here a unified framework is established to describe…

Soft Condensed Matter · Physics 2021-06-28 Daniel Acuna , Francisco Gutiérrez , Rodrigo Silva , Humberto Palza , Alvaro S. Nunez , Gustavo Düring

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

Auxetics refers to structures or materials with a negative Poisson's ratio, thereby capable of exhibiting counter-intuitive behaviors. Herein, auxetic structures are exploited to design mechanically tunable metamaterials in both planar and…

Medical Physics · Physics 2021-07-30 Ke Wu , Xiaoguang Zhao , Stephan W. Anderson , Xin Zhang

Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this is a feature of three-dimensional bodies. At variance,…

Applied Physics · Physics 2017-11-22 Cesare Davini , Antonino Favata , Andrea Micheletti , Roberto Paroni

Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, rather than lateral shrinking. Most studies, in the last three decades, have explored…

Metric Geometry · Mathematics 2017-08-15 Ciprian S. Borcea , Ileana Streinu

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

This paper is devoted to the exploration of rectangular finite elements' ability to model the stress-strain state of isotropic and orthotropic materials with a negative Poisson's ratio, known as auxetic materials. By employing linear…

Computational Physics · Physics 2025-05-13 A. V. Mazaev

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

Dilational materials are stable three-dimensional isotropic auxetics with an ultimate Poisson's ratio of -1. We design, evaluate, fabricate, and characterize crystalline metamaterials approaching this ideal. To reveal all modes, we…

Materials Science · Physics 2015-06-17 Tiemo Bückmann , Robert Schittny , Michael Thiel , Muamer Kadic , Graeme W. Milton , Martin Wegener

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

This work is concerned with the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We use inverse homogenization, the level set method, and the…

Optimization and Control · Mathematics 2019-01-30 Grigor Nika , Andrei Constantinescu

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…

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