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<p>Triply periodic minimal surface (TPMS) lattice structures have attracted significant attention due to their high strength-to-weight ratio and efficient load distribution characteristics, with gyroid architectures offering a continuous topology that minimizes stress concentrations. In this study, the tensile behavior of gyroid TPMS structures fabricated via masked stereolithography (mSLA) using an ABS-like photopolymer resin was systematically investigated. Volume fraction (20-60%) and unit cell size (4-8&#xa0;mm) were selected as the primary design parameters. The results indicate that volume fraction is the dominant factor, contributing over 88% to the variation in maximum load, while cell size exhibits a secondary effect. Increasing volume fraction enhances load-bearing capacity but leads to a more brittle response, whereas lower volume fractions promote progressive deformation. Response Surface Methodology (RSM) was employed to develop predictive models with high accuracy (R<sup>2</sup> &gt; 97%). Multi-objective optimization identified the optimal design at approximately 60% volume fraction and 8&#xa0;mm cell size, yielding a desirability of 0.977. These findings provide insight into structure–property relationships and demonstrate the effectiveness of statistical modeling for optimizing lightweight TPMS-based metamaterials.</p>

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Parametric Optimization of Tensile Performance in mSLA-Fabricated Gyroid TPMS Structures Using Response Surface Methodology

  • 期刊论文

  • 发表日期：

    2026年7月24日

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  • Muhammet Mevlüt Karaca,
  • Fatih Huzeyfe Öztürk,
  • Abdurrahim Temiz

摘要

Triply periodic minimal surface (TPMS) lattice structures have attracted significant attention due to their high strength-to-weight ratio and efficient load distribution characteristics, with gyroid architectures offering a continuous topology that minimizes stress concentrations. In this study, the tensile behavior of gyroid TPMS structures fabricated via masked stereolithography (mSLA) using an ABS-like photopolymer resin was systematically investigated. Volume fraction (20-60%) and unit cell size (4-8 mm) were selected as the primary design parameters. The results indicate that volume fraction is the dominant factor, contributing over 88% to the variation in maximum load, while cell size exhibits a secondary effect. Increasing volume fraction enhances load-bearing capacity but leads to a more brittle response, whereas lower volume fractions promote progressive deformation. Response Surface Methodology (RSM) was employed to develop predictive models with high accuracy (R2 > 97%). Multi-objective optimization identified the optimal design at approximately 60% volume fraction and 8 mm cell size, yielding a desirability of 0.977. These findings provide insight into structure–property relationships and demonstrate the effectiveness of statistical modeling for optimizing lightweight TPMS-based metamaterials.