Abstract

When materials are under stretching, occurrence of lateral contraction of materials is commonly observed. This is because Poisson’s ratio, the quantity describes the relationship between a lateral strain and applied strain, is positive for nearly all materials. There are some reported structures and materials having negative Poisson’s ratio. However, most of them are at macroscale, and reentrant structures and rigid rotating units are the main mechanisms for their negative Poisson’s ratio behavior. Here, with numerical and theoretical evidence, we show that metal [100] nanowires with asymmetric cross-sections such as rectangle or ellipse can exhibit negative Poisson’s ratio behavior. Furthermore, the negative Poisson’s ratio behavior can be further improved by introducing a hole inside the asymmetric nanowires. We show that the surface effect inducing the asymmetric stresses inside the nanowires is a main origin of the superior property.

Highlights

  • When materials are under stretching, occurrence of lateral contraction of materials is commonly observed

  • We show that the surface effect inducing the asymmetric stresses inside the nanowires is a main origin of the superior property

  • It is found that the surface relaxation that generates asymmetric stresses inside nanowires is a main origin of the auxetic behavior of the metal nanowires

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Summary

Introduction

When materials are under stretching, occurrence of lateral contraction of materials is commonly observed. Most of them are at macroscale, and reentrant structures and rigid rotating units are the main mechanisms for their negative Poisson’s ratio behavior. Materials with a negative Poisson’s ratio (auxetic materials) expand rather than contract along a lateral direction when they are subjected to stretch. It is found that the surface relaxation that generates asymmetric stresses inside nanowires is a main origin of the auxetic behavior of the metal nanowires. Poisson’s ratio component of the square nanowire (SNW) is larger than that of the bulk counterpart (0.46) due to surface effect.

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