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Fire Growth Behavior and Predictive Modeling of 3D-Printed Triply Periodic Minimal Surface (TPMS) Porous PLA
Mingyang Guo1,2,3, Yachao Wang1,2,4,5, Dongzhao Lu2
1State Key Laboratory of Tropic Ocean Engineering Materials and Materials Evaluation, Haikou 570228, China.
Polymers
|July 28, 2026
Summary
Triply periodic minimal surfaces (TPMS) geometry significantly impacts fire growth in 3D-printed PLA structures. Cell size and type are key factors, not just porosity, guiding safer thermal management designs.
Area of Science:
- Materials Science
- Additive Manufacturing
- Fire Safety Engineering
Background:
- Triply periodic minimal surfaces (TPMS) offer high surface area and porous architectures, making them suitable for thermal management.
- Understanding the influence of TPMS geometry on fire growth is crucial for safe application, yet remains poorly understood.
Purpose of the Study:
- To investigate how TPMS geometry (cell size, unit cell type, wall thickness) affects fire growth in 3D-printed polylactic acid (PLA) structures.
- To develop a predictive model for fire growth based on TPMS structural parameters.
Main Methods:
- Fabrication of Gyroid, Diamond, and Schwarz-P TPMS structures using additive manufacturing.
- Characterization of fire behavior using cone calorimetry.
- Univariate and multivariate statistical analyses, including an L9(3^3) orthogonal array experiment and regression modeling.
Main Results:
- Flame propagation is primarily governed by cell structure, not porosity or specific surface area.
- The ranking of factors influencing the flame growth index (FGI) is: cell size > unit cell type > wall thickness.
- A multivariate regression model accurately predicts FGI (R² = 0.95).
Conclusions:
- TPMS geometry, specifically cell size and type, plays a critical role in dictating fire growth in PLA.
- Quantitative insights facilitate the design of safer porous materials for thermal management applications.
- Findings support the development of fire-resistant TPMS-based thermal management systems.

