Two-dimensional graded metamaterials with auxetic rectangular perforations

Jianfei Yao*, Rujie Sun, Fabrizio L Scarpa*, Chrystel D L Remillat, Yu Gao, Yongfei Su

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Downloads (Pure)


This work describes the in-plane uniaxial tensile mechanical properties of two-dimensional graded rectangular perforations metamaterials using numerical homogenization finite element approaches benchmarked by experimental results. The metamaterial configuration is based on graded patterns of centre-symmetric perforated cells that can exhibit an auxetic (negative Poisson’s ratio) behavior. Global and local equivalent mechanical properties of the metamaterial are measured using digital image correlation techniques mapped over Finite Element models to identify strain patterns and related stress distributions at different scales. The samples and their numerical counterpart are parametrized against the spacing and aspect ratios of the cells. The overall stiffness behavior of the graded perforated metamaterial plates features a higher degree of compliance that depends both on the geometries of the cells of the graded areas, but also on the graded pattern used. Local Poisson’s ratio effects show a general constraint of the auxetic behavior compared to the case of uniform plates, but also interesting and controllable shape changes due to the uniaxial tensile loading applied.
Original languageEnglish
Article number113313
Number of pages12
JournalComposite Structures
Early online date17 Nov 2020
Publication statusPublished - 1 Apr 2021

Bibliographical note

Funding Information:
This work has been partially supported by the UK EPSRC SYSDYMATS programme. Jianfei Yao would like to thank the Chinese Scholarship Council (CSC) for funding his research work.

Publisher Copyright:
© 2020 Elsevier Ltd


  • Mechanical metamaterials
  • composites
  • rectangular perforations
  • gradient structures
  • negative Poisson’s ratio


Dive into the research topics of 'Two-dimensional graded metamaterials with auxetic rectangular perforations'. Together they form a unique fingerprint.

Cite this