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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…

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

Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transformations and their resulting mechanical properties are…

Soft Condensed Matter · Physics 2025-09-23 Fleur Hendriks , Vlado Menkovski , Martin Doškář , Marc G. D. Geers , Kevin Verbeek , Ondřej Rokoš

The flowing, jamming and avalanche behavior of granular materials is satisfyingly universal and vexingly hard to tune: a granular flow is typically intermittent and will irremediably jam if too confined. Here, we show that granular…

Soft Condensed Matter · Physics 2023-10-06 Daan Haver , Daniel Acuña , Shahram Janbaz , Edan Lerner , Gustavo Düring , Corentin Coulais

Lattice-based mechanical metamaterials are known to exhibit quite a unique mechanical behavior owing to their rational internal architecture. This includes unusual properties such as a negative Poisson's ratio, which can be easily tuned in…

Soft Condensed Matter · Physics 2023-04-19 Gerrit Felsch , Naeim Ghavidelnia , David Schwarz , Viacheslav Slesarenko

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

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

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

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

Negative Poisson's ratio as the anomalous characteristic generally exists in artificial architectures, such as re-entrant and honeycomb structures. The structures with negative Poisson's ratio have attracted intensive attention due to their…

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

Mechanical metamaterials are artifical composites that exhibit a wide range of advanced functionalities such as negative Poisson's ratio, shape-shifting, topological protection, multistability, and enhanced energy dissipation. To date, most…

Soft Condensed Matter · Physics 2020-06-11 Aleksi Bossart , David M. J. Dykstra , Jop van der Laan , Corentin Coulais

A symmetry-extended Maxwell treatment of the net mobility of periodic bar-and-joint frameworks is used to derive a sufficient condition for auxetic behaviour of a 2D material. The type of auxetic behaviour that can be detected by symmetry…

Materials Science · Physics 2015-06-16 H. Mitschke , G. E. Schroeder-Turk , K. Mecke , P. W. Fowler , S. D. Guest

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

Using molecular dynamics simulations, we find an in-plane negative Poisson's ratio intrinsically existing in the graphene-based three-dimensional (3D) carbon foams (CFs) when they are compressed uniaxially. Our study shows that the negative…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Jin Zhang , Qilin Xiong

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

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 ability to change significantly mechanical and wave propagation properties of a structure without rebuilding it has been one of the main challenges in the field of mechanical metamaterials. This stems from the enormous appeal that,…

Materials Science · Physics 2023-06-30 K. K. Dudek , J. A. Iglesias Martínez , G. Ulliac , L. Hirsinger , L. Wang , V. Laude , M. Kadic

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