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Abstract <p>This study employs quaternion-based rotational transformations on Gyroid type triply periodic minimal surface (TPMS) lattices fabricated by selective laser melting (SLM). Quasi-static compression tests reveal intrinsic rotation-geometry-property relationships. Rotational transformations alter topological symmetry: the original Gyroid maintains a stable relative cross-sectional area (0.5), whereas the Gyroid-[110]-90° configuration exhibits periodic fluctuations (0.25–0.75). Attributed to periodic material distribution, the Gyroid-[110]-90° configuration achieves a 28.14% yield strength enhancement with retained deformation stability. Its graded architecture induces progressive layer-wise compression, delivering superior energy absorption performance (74.2% efficiency; 36.0 MJ/m<sup>3</sup> capacity). These findings demonstrate programmable mechanical tailoring via rotational design in TPMS-based metamaterials.</p> Graphical abstract <p></p>

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Quaternion-based rotational design and mechanical characterization of gyroid-type TPMS structures

  • 期刊论文

  • 发表日期：

    2025年7月31日

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  • Yihui Zhu,
  • Xu Wang,
  • Pengwei Li,
  • Hao Huang,
  • Fengao Liu,
  • Shiyu Yang

摘要

Abstract

This study employs quaternion-based rotational transformations on Gyroid type triply periodic minimal surface (TPMS) lattices fabricated by selective laser melting (SLM). Quasi-static compression tests reveal intrinsic rotation-geometry-property relationships. Rotational transformations alter topological symmetry: the original Gyroid maintains a stable relative cross-sectional area (0.5), whereas the Gyroid-[110]-90° configuration exhibits periodic fluctuations (0.25–0.75). Attributed to periodic material distribution, the Gyroid-[110]-90° configuration achieves a 28.14% yield strength enhancement with retained deformation stability. Its graded architecture induces progressive layer-wise compression, delivering superior energy absorption performance (74.2% efficiency; 36.0 MJ/m3 capacity). These findings demonstrate programmable mechanical tailoring via rotational design in TPMS-based metamaterials.

Graphical abstract