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March 6, 2026Journal of Materials Research and Technology27 citationsOpen Access

Numerical and Experimental Characterization of 3D-Printed Elliptical Anti-Chiral Metamaterials with Box-Behnken Optimization

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MKMahdi KhajepourMYMohammad Amin YousefiDRDavood Rahmatabadi

Key Points

  • This study aims to establish design rules for the mechanical properties of 3D-printed elliptical anti-chiral metamaterials.
  • Utilized Digital Light Processing (DLP) for 3D printing of metamaterials.
  • Employed Box-Behnken design to assess geometric factors: curvature, thickness, and width.
  • Developed an elastic-plastic finite-element model validated through compression tests.
  • Performed ANOVA to analyze mechanical response significance.
  • Achieved elastic stiffness of approximately 3.0 kN/mm and a peak load of roughly 5.3 kN.
  • Specific energy absorption measured around 339 J/kg.
  • Identified optimal design parameters favoring larger width with moderate thickness and curvature for enhanced performance.
  • Most auxetic case displayed a negative Poisson’s ratio of approximately -1.61.

Abstract

In recent years, progress in architected lattices and high-resolution vat photopolymerization has renewed attention to auxetic designs that combine conformability with load-bearing capacity. Here, the mechanics of Digital Light Processing (DLP)-printed elliptical anti-chiral metamaterials were examined with the aim of establishing practical design rules for stiffness, energy absorption, peak load, and auxetic response. A Box-Behnken design was implemented over three geometric factors (curvature, thickness, width), and an elastic-plastic finite-element model calibrated from compression tests was validated against tests on representative lattices. ANOVA confirmed statistically significant models for all responses. Qualitatively, thickness governed elastic stiffness, maximum force, and energy absorption; width provided additional gains while helping preserve auxeticity; and curvature had a secondary effect on strength but reduced the magnitude of the negative Poisson’s ratio. Representative outcomes included elastic stiffness ≈ 3.0 kN/mm, ≈ 5.3 kN, specific energy absorption ≈ 339 J/kg, and a most-auxetic case of ν ≈ -1.61. A multi-response desirability search identified a narrow high-performance region favoring large width with moderate thickness and curvature, offering a balanced increase in load capacity and energy absorption while retaining auxetic behavior. The validated DOE/RSM framework provides clear, data-efficient guidance for tuning elliptical anti-chiral lattices toward protective and biomedical applications.

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Cite This Study

Khajepour et al. (2026) studied this question.

synapsesocial.com/papers/69aa6eb1531e4c4a9ff58f61https://doi.org/10.1016/j.jmrt.2026.03.025
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