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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

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

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

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 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

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

The properties and applications of auxetics have been widely explored in the past years. Through proper utilization of auxetic structures, designs with unprecedented mechanical and structural behaviors can be produced. Taking advantage of…

Robotics · Computer Science 2021-04-01 Shuai Liu , Sheeraz Athar , Michael Yu Wang

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 structures, known for their negative Poisson's ratio, exhibit effective elastic properties heavily influenced by their underlying structural geometry and base material properties. While periodic homogenization of auxetic unit cells…

Computational Engineering, Finance, and Science · Computer Science 2024-08-27 Hooman Danesh , Daniele Di Lorenzo , Francisco Chinesta , Stefanie Reese , Tim Brepols

Robotic surfaces traditionally use materials with a positive Poisson's ratio to push and pull on a manipulation interface. Auxetic materials with a negative Poisson's ratio may expand in multiple directions when stretched and enable…

Robotics · Computer Science 2025-12-02 Jacob Miske , Ahyan Maya , Ahnaf Inkiad , Jeffrey Ian Lipton

This work proposes a novel generative design tool for passive grippers -- robot end effectors that have no additional actuation and instead leverage the existing degrees of freedom in a robotic arm to perform grasping tasks. Passive…

Graphics · Computer Science 2023-06-07 Milin Kodnongbua , Ian Good Yu Lou , Jeffrey Lipton , Adriana Schulz

Auxetic materials, or negative-Poisson's-ratio materials, are important technologically and fascinating theoretically. When loaded by external stresses, their internal strains are governed by correlated motion of internal structural degrees…

Materials Science · Physics 2012-04-16 Raphael Blumenfeld , Sam F. Edwards

The use of multifunctional composite materials adopting piezo-electric periodic cellular lattice structures with auxetic elastic behavior is a recent and promising solution in the design of piezoelectric sensors. In the present work,…

Materials Science · Physics 2017-08-02 Maria Laura De Bellis , Andrea Bacigalupo

Metastructured auxetic patches, characterized by negative Poisson's ratios, offer unique mechanical properties that closely resemble the behavior of human tissues and organs. As a result, these patches have gained significant attention for…

Machine Learning · Computer Science 2025-01-14 Yingbin Chen , Milad Arzani , Xuan Mu , Sophia Jin , Shaoping Xiao

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

"Auxetic" materials have the counter-intuitive property of expanding rather than contracting perpendicular to an applied stretch, formally they have negative Poisson's Ratios (PRs).[1,2] This results in properties such as enhanced energy…

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

A macro-constitutive model for the deformation response of periodic rotating bistable auxetic surfaces is developed. Focus is placed on isotropic surfaces made of bistable hexagonal cells composed of six triangular units with two stable…

Applied Physics · Physics 2025-12-01 Emmanuel Sansusthy Tardio , Tian Chen , Theocharis Baxevanis

Materials with negative Poisson ratio have the counter-intuitive property of expanding laterally when they are stretched longitudinally. They are accordingly termed auxetic, from the Greek auxesis meaning to increase. Experimental studies…

Statistical Mechanics · Physics 2024-05-02 Suzanne M. Fielding

We propose a novel two-dimensional hierarchical auxetic structure consisting of a porous medium in which a homogeneous matrix includes a rank-two set of cuts characterised by different scales. The six-fold symmetry of the perforations makes…

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