Orientation driven design and mechanical optimization of gyroid TPMS lattice structures

Key findings from this study

• The study found that axially aligned Gyroid orientations (G1, G3, G5) achieve substantially higher stiffness, strength, and energy absorption than non-aligned configurations.
• The researchers demonstrate that deformation mechanisms transition from bending-dominated to stretch- and shear-dominated modes as wall thickness increases.
• The authors report that mechanical properties follow power-law scaling with relative density (R² > 0.95), validating Gibson-Ashby relationships for this composite system.

Overview

Gyroid triply periodic minimal surface lattice structures exhibit orientation-dependent mechanical behavior when fabricated via fused filament fabrication. This study systematically investigates how build orientation relative to the z-axis influences stiffness, strength, and energy absorption in PLA-metal composite Gyroids. Prior research compared different TPMS topologies or materials; this work isolates orientation effects on a single geometry.

Methods and approach

Six Gyroid models (G0 through G5) were created by varying build orientation angles. Fused filament fabrication with PLA-metal composite produced physical specimens. Experimental mechanical testing and finite element analysis were performed in parallel. Homogenization theory characterized orientation-dependent anisotropy. True stress calculations incorporated cross-sectional geometry from CAD models. Power-law functions fitted mechanical properties against relative density.

Results

Axially aligned orientations (G1, G3, G5) demonstrated significantly higher stiffness, strength, and energy absorption compared to non-aligned configurations. Experimental results and finite element predictions showed strong agreement, validating the computational approach. Homogenization analysis confirmed that mechanical anisotropy varies systematically with build orientation.

Increasing wall thickness shifted deformation mechanisms from bending-dominated to stretch- and shear-dominated modes. Power-law relationships between mechanical properties and relative density achieved R² values exceeding 0.95 across all tested configurations. These relationships validated Gibson-Ashby scaling laws for the composite material system.

Implications

Orientation control offers a design lever for tailoring Gyroid mechanical performance without reformulating the base material or topology. The demonstrated correlation between orientation, wall thickness, and deformation mechanisms enables predictive design of lattice structures for specific loading scenarios. Applications requiring directional load paths can exploit axial alignment to maximize structural efficiency.

The validated computational framework supports efficient design iteration for crashworthiness, aerospace structures, automotive components, and biomedical devices. CAD-derived stress analysis improves accuracy beyond idealized models, reducing design-to-fabrication iteration cycles. Results inform material selection and process parameter optimization for additively manufactured lattice applications where in-service loads are predictable.

Scope and limitations

This summary is based on the study abstract and available metadata. It does not include a full analysis of the complete paper, supplementary materials, or underlying datasets unless explicitly stated. Findings should be interpreted in the context of the original publication.