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<p>This study focuses on optimizing the geometric parameters of re-entrant metamaterials to achieve a targeted Negative Poisson’s ratio while ensuring structural integrity. An L9 Taguchi design of experiments, combined with ANOVA analysis, was employed to investigate the effects of three key geometric parameters—vertical length ratio (V1/V2), re-entrant angle (θ), and wall thickness ratio (T1/T2)—on Negative Poisson’s ratio performance. This approach, applied to Fused Deposition Modeling -fabricated Polyethylene Terephthalate Glycol structures, addresses a research gap in the accessible manufacturing and failure-aware design of auxetic metamaterials. The study contributes a quantitative hierarchy of geometric parameter influence. Experimental testing and statistical evaluation revealed that V1/V2 has the highest influence on Negative Poisson’s ratio variation (53.48%), followed by θ (38.29%), while T1/T2 has a minimal impact (0.89%). The optimal design configuration (V1/V2 = 5, θ = 45°, T1/T2 = 1) yielded a Negative Poisson’s ratio of -0.724 but exhibited a combined failure mode involving buckling and partial collapse. A novel failure-mode-based classification is proposed, identifying three distinct regimes based on observed failures: sudden collapse, gradual bending, and mixed-mode failure, each associated with specific geometric asymmetries and strut deformation characteristics. This study contributes a quantitative hierarchy of geometric parameter influence validated by ANOVA and proposes a novel failure-mode-based classification linked to design parameters. These insights offer a predictive framework for designing auxetic metamaterials that balance enhanced Negative Poisson’s ratio performance with mechanical stability, providing valuable guidance for tailoring mechanical properties in application-specific structural systems.</p> Graphical abstract <p></p>

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To study the behaviour of auxetic metamaterials under geometry-driven optimization: an experimental and statistical approach

  • 期刊论文

  • 发表日期：

    2025年12月11日

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  • Manjeet Singh,
  • Aman Kumar Yadav,
  • Tenzing Chojung Libasow,
  • Hitesh Arora,
  • Jasminder Singh,
  • Akash Gupta

摘要

This study focuses on optimizing the geometric parameters of re-entrant metamaterials to achieve a targeted Negative Poisson’s ratio while ensuring structural integrity. An L9 Taguchi design of experiments, combined with ANOVA analysis, was employed to investigate the effects of three key geometric parameters—vertical length ratio (V1/V2), re-entrant angle (θ), and wall thickness ratio (T1/T2)—on Negative Poisson’s ratio performance. This approach, applied to Fused Deposition Modeling -fabricated Polyethylene Terephthalate Glycol structures, addresses a research gap in the accessible manufacturing and failure-aware design of auxetic metamaterials. The study contributes a quantitative hierarchy of geometric parameter influence. Experimental testing and statistical evaluation revealed that V1/V2 has the highest influence on Negative Poisson’s ratio variation (53.48%), followed by θ (38.29%), while T1/T2 has a minimal impact (0.89%). The optimal design configuration (V1/V2 = 5, θ = 45°, T1/T2 = 1) yielded a Negative Poisson’s ratio of -0.724 but exhibited a combined failure mode involving buckling and partial collapse. A novel failure-mode-based classification is proposed, identifying three distinct regimes based on observed failures: sudden collapse, gradual bending, and mixed-mode failure, each associated with specific geometric asymmetries and strut deformation characteristics. This study contributes a quantitative hierarchy of geometric parameter influence validated by ANOVA and proposes a novel failure-mode-based classification linked to design parameters. These insights offer a predictive framework for designing auxetic metamaterials that balance enhanced Negative Poisson’s ratio performance with mechanical stability, providing valuable guidance for tailoring mechanical properties in application-specific structural systems.

Graphical abstract