## What is/are Auxetic Metamaterials?

Auxetic Metamaterials - introduction of chirality and rotational elements within the system, has the ability to transform even complex geometries, which in their original state possess a high positive Poisson's ratio, into auxetic metamaterials and hope that this work can act as a blueprint for the design of auxetic structures with novel topologies.^{[1]}Auxetic metamaterials have received increasing interest due to their distinct mechanical properties.

^{[2]}Auxetic metamaterials have evolved growing beyond the cellular material structures and offering unique combinations of both auxetic and mechanical properties.

^{[3]}Two-dimensional lattice structures with specific geometric features have been reported to have a negative Poisson's ratio, termed as auxetic metamaterials, that is, stretching-induced expansion in the transversal direction.

^{[4]}, auxetic metamaterials) have received much attention before and have been reviewed multiple times, no comparable review exists for architected materials with positive Poisson’s ratios.

^{[5]}Overall, these research findings shed light on the deformation mechanism of auxetic metamaterials, providing useful guidelines for designing auxetic 2D lattice structures made of 2D materials that can display a tunable negative Poisson's ratio.

^{[6]}Finally, we discuss how ideas of topology introduced by the SLIPS mesh might be extended to create completely new types of SLIPS systems, such as Mobius strips and auxetic metamaterials.

^{[7]}Herein, we report a design strategy to decipher anisotropic and aperiodic nonwovens as auxetic metamaterials by carefully decorating with the slit perforations in a stochastic manner.

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## 3d Auxetic Metamaterials

This work can provide a useful reference for the design of 3D auxetic metamaterials with excellent properties, which is promising in some structural and functional applications.^{[1]}We present our latest work into the modelling and fabrication of 3D auxetic metamaterials, and their evaluation as scaffolds for cell growth.

^{[2]}We present our latest work into the modelling and fabrication of 3D auxetic metamaterials.

^{[3]}In this paper, an effective and efficient topology optimization method, termed as Isogeometric Topology Optimization (ITO), is proposed for systematic design of both 2D and 3D auxetic metamaterials based on isogeometric analysis (IGA).

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## auxetic metamaterials exhibit

While most conventional materials have positive Poisson’s ratios, auxetic metamaterials exhibit negative Poisson’s ratios and will contract laterally under vertical compression and expand laterally under vertical tension.^{[1]}The auxetic metamaterials exhibit attractive mechanical properties, including negative Poisson’s ratio and compressional resistance.

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