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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…

度量几何 · 数学 2017-08-15 Ciprian S. Borcea , Ileana Streinu

The engineered class of anti-tetrachiral cellular materials is phenomenologically characterized by a strong auxeticity of the elastic macroscopic response. The auxetic behavior, accompanied by a marked anisotropy, is activated by rolling-up…

材料科学 · 物理学 2015-12-25 Andrea Bacigalupo , Marco Lepidi

The paper studies the modes of vibrations of a lattice with rod-like particles, in a continuum model where the sites of the lattice are the connections among strings and rigid rods. In these structures then, translational and rotational…

材料科学 · 物理学 2007-06-28 A. Sparavigna

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…

材料科学 · 物理学 2009-11-13 A. Sparavigna

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…

材料科学 · 物理学 2025-10-31 Sima Farshbaf , Narges Dialami , Miguel Cervera

Floquet-Bloch wave asymptotics is used to homogenize the in-plane mechanical response of a periodic grillage of elastic Rayleigh rods, possessing a distributed mass density, together with rotational inertia. The grid is subject to…

经典物理 · 物理学 2021-03-22 G. Bordiga , L. Cabras , A. Piccolroaz , D. Bigoni

In this work, a novel hierarchical mechanical metamaterial is proposed that is composed of re-entrant truss-lattice elements. It is shown that this system can deform very differently and can exhibit a versatile extent of the auxetic…

应用物理 · 物理学 2022-11-14 Krzysztof K. Dudek , Julio A. Iglesias Martínez , Muamer Kadic

The homogenization of auxetic cellular solids having periodic hexachiral and tetrachiral microstructure is dealt with two different techniques. The first approach is based on the representation of the cellular solid as a beam-lattice to be…

材料科学 · 物理学 2014-04-16 Andrea Bacigalupo , Luigi Gambarotta

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…

计算工程、金融与科学 · 计算机科学 2019-07-31 Guodong Zhang , Kapil Khandelwal

Mitigating low-frequency noise is particularly challenging due to its limited natural attenuation. This study aims to design viscoelastic composite microstructures that achieve both low acoustic reflection and high internal damping by…

应用物理 · 物理学 2025-11-06 Hiroaki Deguchi , Kei Matsushima , Takayuki Yamada

Recent progress in advanced additive manufacturing techniques has stimulated the growth of the field of mechanical metamaterials. One area particular interest in this subject is the creation of auxetic material properties through elastic…

软凝聚态物质 · 物理学 2018-04-04 Daniel Rayneau-Kirkhope , Chengzhao Zhang , Louis Theran , Marcelo A. Dias

This work studies the constitutive response of two- and three-dimensional lattice materials subject to isotropic prestress. The unit cell of the examined lattices is formed by an arbitrary number of junctions attached to a junction.…

经典物理 · 物理学 2019-12-30 Ada Amendola , Fernando Fraternali

Superlattices presenting a spatial modulation of the elastic properties appear as a main tool to reach the THz regime in nanoacoustic devices. The exploration of alternative materials with multifunctional properties remains a fertile domain…

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…

计算工程、金融与科学 · 计算机科学 2022-10-05 Joshua Prendergast , Manaswin Oddiraju , Mostafa Nouh , Souma Chowdhury

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…

医学物理 · 物理学 2021-07-30 Ke Wu , Xiaoguang Zhao , Stephan W. Anderson , Xin Zhang

We present an analytical model to investigate the mechanics of 2-dimensional lattices composed of elastic beams of non-uniform cross-section. Our approach is based on reducing a lattice to a single beam subject to the action of a set of…

软凝聚态物质 · 物理学 2016-02-22 Daniel J. Rayneau-Kirkhope , Marcelo A. Dias

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…

应用物理 · 物理学 2017-08-02 Krishna Kumar Saxena , Raj Das , Emilio P Calius

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…

经典物理 · 物理学 2016-04-20 Luigi Cabras , Michele Brun

A parametric beam lattice model is formulated to analyse the propagation properties of elastic in-plane waves in an auxetic material based on a hexachiral topology of the periodic cell, equipped with inertial local resonators. The…

材料科学 · 物理学 2016-05-04 Andrea Bacigalupo , Marco Lepidi , Giorgio Gnecco , Luigi Gambarotta

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…

材料科学 · 物理学 2012-04-16 Raphael Blumenfeld , Sam F. Edwards
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