Auxetics and other systems of “negative” characteristics

Abstract

This is the eleventh issue of physica status solidi (b) focussed on materials and models exhibiting negative Poisson's ratio (PR), called auxetics, and other systems of "negative" characteristics [1]. It contains 22 papers, from which the fi rst 17 papers concern auxetics, the following 4 are related to negative stiffness, and the last paper describes auxetic-like magneto-elastic effect.The issue starts from the paper by Chan Soo Ha, Michael E. Plesha, and Roderic S. Lakes describing a chiral, isotropic model with negative Poisson's ratio [2]. The following paper by Teik-Cheng Lim presents another macroscopic model of auxetic properties [3]. The elastic properties of hexagonal auxetics under pressure are discussed by Robert V. Goldstein, Valentin A. Gorodtsov, and Dmitry S. Lisovenko [4].

Auxetics and Other Systems of Anomalous Characteristics

“…Rigorous analytic study of cyclic hexamers interacting through site–site n ‐inverse‐power potential (which tends to the hard potential when n tends to infinity) has revealed the mechanism of NPR in that system . The present volume on materials and models with NPR, often referred to as auxetics , and other systems of anomalous (negative) characteristics is the twelfth focus issue of physica status solidi (b) on this subject .…”

The Effects of Poisson's Ratio on the Indentation Behavior of Materials With Embedded System in an Elastic Matrix

“…The reason for this enhanced effect of auxeticity with embedded layer is subject to further study. One potential reason might be the mismatch of the Poisson's ratio, which has been found in auxetic composite . For a composite material, according to Ref.…”

“…The material expands transversally upon being stretched and shrinks under compression. Many different mechanisms have been designed and explored, which has opened up more opportunities to develop negative Poisson's ratio materials at different length scales, in some cases, the material can be treated as a homogeneous system …”

Three‐Dimensional Stiff Cellular Structures With Negative Poisson's Ratio

“…However, most 2D cellular structures that exhibit negative Poisson's ratio were due to the cells with inverted bow‐tie shape. A variety of auxetic topologies have been developed and presented recently by researchers, such as anti‐chiral structure, sinusoidal ligament structures, etc . Negative Poisson's ratio behavior has been observed experimentally in polymer gels near their phase transitions, in orthorhombic alloy in a set of planes, and in ferroelastic ceramic near a temperature dependent phase transformation and in InSn alloy near a composition dependent morphotropic phase transformation.…”

“…A variety of auxetic topologies have been developed and presented recently by researchers, such as anti-chiral structure, sinusoidal ligament structures, etc. [17][18][19] Negative Poisson's ratio behavior has been observed experimentally in polymer gels near their phase transitions, [20,21] in orthorhombic alloy in a set of planes, [22] and in ferroelastic ceramic [23] near a temperature dependent phase transformation and in InSn alloy [24] near a composition dependent morphotropic phase transformation. Strongly negative Poisson's ratio behavior near a phase transition has also been observed in computer simulations in the hard cyclic hexamer model.…”