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<p>The present study addresses the issue of unidirectional linear gradient of porosity in the gradient design of triply periodic minimal surfaces (TPMS). To this end, uniform-thickness porous structures with porosities of 40, 35, and 30%, respectively, were designed based on the gyroid (G) surface porous structure. Subsequently, the stress distribution range of uniform-thickness porous structures was utilized as a basis for topological optimization, with the objective of designing porous structures exhibiting trapezoidal variable gradients. Moreover, an analysis was conducted of the effects of porosity and gradient design on the mechanical properties of the porous structures, employing finite element simulation and three-point bending tests. The findings indicate that the flexural performance of uniform-thickness porous structures enhances with decreasing porosity. In comparison with the uniform-thickness porous structure, which possesses a porosity of 35%, the trapezoidal variable-gradient porous structure demonstrates a 2.2% reduction in mass, while concurrently exhibiting augmented bending stiffness and maximum load by 42.31 and 25.45%, respectively. The proposed design method has the potential to enhance the flexural performance of porous structures in a substantial manner.</p>

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Functional Gradient Porosity Design for Bending Mechanical Enhancement of TPMS-Based Lattices

  • 期刊论文

  • 发表日期：

    2026年7月6日

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  • Yaochen Shi,
  • Jinhu Han,
  • Chunxia Dong,
  • Daohan Wang,
  • Fengshuang Yang

摘要

The present study addresses the issue of unidirectional linear gradient of porosity in the gradient design of triply periodic minimal surfaces (TPMS). To this end, uniform-thickness porous structures with porosities of 40, 35, and 30%, respectively, were designed based on the gyroid (G) surface porous structure. Subsequently, the stress distribution range of uniform-thickness porous structures was utilized as a basis for topological optimization, with the objective of designing porous structures exhibiting trapezoidal variable gradients. Moreover, an analysis was conducted of the effects of porosity and gradient design on the mechanical properties of the porous structures, employing finite element simulation and three-point bending tests. The findings indicate that the flexural performance of uniform-thickness porous structures enhances with decreasing porosity. In comparison with the uniform-thickness porous structure, which possesses a porosity of 35%, the trapezoidal variable-gradient porous structure demonstrates a 2.2% reduction in mass, while concurrently exhibiting augmented bending stiffness and maximum load by 42.31 and 25.45%, respectively. The proposed design method has the potential to enhance the flexural performance of porous structures in a substantial manner.