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<p>In the present study, the nonlinear characteristics of Gyroid-type triply periodic minimal surface (TPMS) structures were analysed using finite element (FE) simulations to optimize lattice parameters for bio-implant applications. The analysis evaluates the influence of unit cell parameters such as cell wall thickness, height-to-width ratio, relative density, isovalue, pore hole size, while also accounting for the effect of the total number of unit cells. A nonlinear elastoplastic material model was employed, along with geometric and boundary nonlinearities. To minimize the computational effort, an optimized mass scaling factor is used. The results show that the specimen with unit cells less than 5 × 5 × 6 along the length, width, and height underestimate the Young’s modulus and yield stress, whereas increasing the number of unit cells increases computational time exponentially. A specimen configured with a cell size of 5&#xa0;mm, cell wall thickness of 0.5&#xa0;mm, and isovalue equal to zero at a relative density 30.94%, not only meets the required pore size criteria (between 0.30 and 0.80&#xa0;mm) but also demonstrates exceptional biomechanical properties. The Young’s modulus of the Gyroid structure falls within the range of 1.404–6.012&#xa0;GPa, which is notably higher than that of other lattice structures at the same relative density. Finally, optimal values for Young’s modulus and yield stresses in Gyroid structures were determined through the Design of Experiments (DOE). Overall, this study focuses on establishing the relationship between the mechanical and morphological properties of Gyroid lattice structures using nonlinear FE analysis, while also optimizing computational efficiency for practical biomedical&#xa0;applications.</p>

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Optimizing TPMS lattice parameters for bio-implant application using FE analysis

  • 期刊论文

  • 发表日期：

    2026年1月21日

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  • Gajendra Kumar Nhaichaniya,
  • Manish Kumar,
  • Ram Dayal

摘要

In the present study, the nonlinear characteristics of Gyroid-type triply periodic minimal surface (TPMS) structures were analysed using finite element (FE) simulations to optimize lattice parameters for bio-implant applications. The analysis evaluates the influence of unit cell parameters such as cell wall thickness, height-to-width ratio, relative density, isovalue, pore hole size, while also accounting for the effect of the total number of unit cells. A nonlinear elastoplastic material model was employed, along with geometric and boundary nonlinearities. To minimize the computational effort, an optimized mass scaling factor is used. The results show that the specimen with unit cells less than 5 × 5 × 6 along the length, width, and height underestimate the Young’s modulus and yield stress, whereas increasing the number of unit cells increases computational time exponentially. A specimen configured with a cell size of 5 mm, cell wall thickness of 0.5 mm, and isovalue equal to zero at a relative density 30.94%, not only meets the required pore size criteria (between 0.30 and 0.80 mm) but also demonstrates exceptional biomechanical properties. The Young’s modulus of the Gyroid structure falls within the range of 1.404–6.012 GPa, which is notably higher than that of other lattice structures at the same relative density. Finally, optimal values for Young’s modulus and yield stresses in Gyroid structures were determined through the Design of Experiments (DOE). Overall, this study focuses on establishing the relationship between the mechanical and morphological properties of Gyroid lattice structures using nonlinear FE analysis, while also optimizing computational efficiency for practical biomedical applications.