Design and Anisotropy Analysis of Tetragonal Symmetric TPMS Lattice Structures

doi:10.3901/JME.260025

Abstract

Abstract: To enhance the axial mechanical properties and mass-transport properties of bio-bone scaffolds, ensuring load-bearing stability and supporting nutrient delivery and cell proliferation, a novel design method for tetragonal symmetric lattice structures based on triply periodic minimal surface (TPMS) is proposed. By adjusting the iso-surface curvature of the TPMS through the controlled combination of trigonometric functions in the implicit function, this design method realizes the reconstruction of the lattice topology from cubic symmetry to tetragonal symmetry. The results show that, compared with the corresponding cubic symmetric lattice structures, the tetragonal symmetric lattice structures designed by the method, owing to their unique geometric configuration and anisotropy, not only significantly enhance the elastic modulus and compressive strength in specific direction by up to 98% and 120% respectively, but also alter the deformation-dominant behavior and failure mechanisms of the lattice structures. In addition, the tetragonal symmetric lattice structures have superior internal connectivity and higher fluid velocity in this specific direction, which can effectively reduce the pressure drop and increase the permeability by up to 165%. The design method of the tetragonal symmetric lattice structures can effectively improve the comprehensive performance, and also provide a new reference for the multi-performance optimization design of biological bone scaffolds.

Key words: triply periodic minimal surface, tetragonal symmetric lattice, mechanical property, mass-transport property, anisotropy

CLC Number:

TG665
R318

LUO Zhichao, TANG Qian, SONG Jun, ZHANG Yuanhang, CHEN Junjie, MA Shuai, FENG Qixiang. Design and Anisotropy Analysis of Tetragonal Symmetric TPMS Lattice Structures[J]. Journal of Mechanical Engineering, 2026, 62(1): 347-360.

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