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This paper focuses on the conditions for obtaining auxetic, i.e. with a negative Poisson's ratio, composite laminates made of specially orthotropic layers. In particular, the layers considered are of three types: R1-orthotropic, i.e.…

Mathematical Physics · Physics 2025-07-01 Paolo Vannucci

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

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

Auxetics refer to a class of engineered structures which exhibit an overall negative Poisson's ratio. These structures open up various potential opportunities in impact resistance, high energy absorption, and flexible robotics, among…

Computational Engineering, Finance, and Science · Computer Science 2022-10-05 Joshua Prendergast , Manaswin Oddiraju , Mostafa Nouh , Souma Chowdhury

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

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

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

Models of smectic-C liquid crystal elastomers predict that it can display soft elasticity, in which the shape of the elastomer changes at no energy cost. The amplitude of the soft mode and the accompanying shears are dependent on the…

Soft Condensed Matter · Physics 2012-01-16 A. W. Brown , J. M. Adams

The problem of detecting auxetic behavior, originating in materials science and mathematical crystallography, refers to the property of a flexible periodic bar-and-joint framework to widen, rather than shrink, when stretched in some…

Metric Geometry · Mathematics 2016-12-08 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

Young's and shear moduli and Poisson's ratio of polycrystalline solids consisting of 2D quadratic and 3D cubic randomly oriented grains of the same size and shape is studied. Considered polycrystals are initially unstrained. It is shown…

Materials Science · Physics 2009-09-24 Cz. Jasiukiewicz , T. Paszkiewicz , S. Wolski

Modeling liquid crystal elastomers (LCEs) at the molecular level is crucial for the predictable design of energy-conversion and stimuli-responsive materials. Here, we develop a self-consistent field theory for LCEs which captures the…

Soft Condensed Matter · Physics 2023-10-05 Luofu Liu , Rui Wang

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

Thin elastic sheets and membranes are known to wrinkle when they are stretched -- the associated physics is highly non-linear. The mechanics of thin films that exhibit unusual behavior upon stretching, when they possess auxetic structure,…

Soft Condensed Matter · Physics 2020-07-22 Alessandra Bonfanti , Atul Bhaskar

Bilayers, soft substrates coated with stiff films, are commonly found in nature with examples including skin tissue, vesicles, and organ membranes. They exhibit different types of instabilities when subjected to compression, depending on…

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

Here, we report the rate-dependent energy absorption behavior of a liquid crystal elastomer (LCE)-based architected material consisting of repeating unit cells of bistable tilted LCE beams sandwiched between stiff supports. Viscoelastic…

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

The modes of vibrations in honeycomb and auxetic structures are studied, with models in which the lattice is represented by a planar network where sites are connected by strings and rigid rods. The auxetic network is obtained modifying a…

Materials Science · Physics 2009-11-13 A. Sparavigna

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