Comparative Torsional Properties via Numerical Simulation of Triply Periodic Minimal Surfaces (TPMS): Diamond, Gyroid...

Area of Science:

• Materials Science
• Mechanical Engineering
• Computational Modeling

Background:

• Triply Periodic Minimal Surface (TPMS) structures are increasingly relevant in research and applications.
• Torsion properties of TPMS structures remain under-explored.
• Understanding these properties is crucial for optimizing their use in engineering.

Purpose of the Study:

• To numerically investigate the torsion properties of sheet-based Diamond, Gyroid, and Primitive TPMS structures.
• To analyze the influence of relative density and unit cell size on TPMS torsion performance.
• To compare the torsional behavior across different TPMS geometries.

Main Methods:

• Finite Element Method (FEM) simulations were employed.
• Sheet-based Diamond, Gyroid, and Primitive TPMS structures were analyzed.
• Samples varied in diameter (20 mm), length (40 mm), relative density (30%, 50%, 70%), and unit cell size (10 mm, 15 mm, 20 mm).

Main Results:

• Primitive TPMS structures showed 1.5-4 times higher shear modulus and yield stress than Diamond and Gyroid for unit cell sizes beyond 10 mm.
• Increasing relative density enhanced properties for Diamond, Gyroid, and smaller-unit-cell Primitive structures.
• Primitive structures exhibited significant dependence on unit cell size, with 15 mm cells yielding optimal results.

Conclusions:

• TPMS geometry significantly impacts torsion properties, with Primitive structures often outperforming others.
• Relative density and unit cell size are critical factors, but their effect varies by TPMS type.
• The findings provide valuable data for designing TPMS components with specific torsional performance requirements.