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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

Low-connectivity polymer networks were recently found to behave auxetically when subjected to small tensions, that is, their Poisson's ratio $\nu$ becomes negative. In addition, for specific state points, numerical simulations revealed that…

Soft Condensed Matter · Physics 2024-01-30 Andrea Ninarello , José Ruiz-Franco , Emanuela Zaccarelli

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

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

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

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 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

The Poisson's ratio is a fundamental mechanical property that relates the resulting lateral strain to applied axial strain. While this value can theoretically be negative, it is positive for nearly all materials, though negative values have…

Materials Science · Physics 2014-08-19 Jin-Wu Jiang , Harold S. Park

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…

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

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

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

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

Long range order and symmetry in heterogeneous materials architected on crystal lattices lead to elastic and inelastic anisotropies and thus limit mechanical functionalities in particular crystallographic directions. Here, we present a…

Soft Condensed Matter · Physics 2025-11-17 Jehoon Moon , Gisoo Lee , Jaehee Lee , Hansohl Cho

Although recent developments in 3D printing technology have made it possible to fabricate metamaterials with characteristic mechanical properties, it is not easy to fabricate complex shapes containing cavities. In this study, a composite…

Applied Physics · Physics 2023-02-27 Daichi Akamatsu , Yuki Noguchi , Kei Matsushima , Yuji Sato , Jun Yanagimoto , Takayuki Yamada

Cork is a natural amorphous material with near-zero Poisson's ratio that is ubiquitously used for sealing glass bottles. It is an anisotropic, transversally isotropic, composite that can hardly be scaled down. Here, we propose a new class…

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

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 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…

We synthesize geometrically tailorable anisotropic plates by combining button shaped fish-scale like features on soft substrates, then lacing them with high-stiffness strings. This creates a new type of biomimetic architectured structure…

Soft Condensed Matter · Physics 2024-03-18 Md Shahjahan Hossain , Hossein Ebrahimi , Ranajay Ghosh