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Recent Developments in Novel TPMS Lattice Materials: Design Optimization, Performance Control, and Applications in
Syed Zahid Ahmad1, Muhammad Hassan Masood2, Muhammad Umar Khattab2
1School of Mechanical, Aerospace and Manufacturing Engineering, University of Connecticut, Storrs, CT 06269, USA.
Materials (Basel, Switzerland)
|November 27, 2025
Summary
Triply Periodic Minimal Surfaces (TPMS) lattices offer advanced mechanical and thermal properties for next-generation materials. Optimization and additive manufacturing are key to unlocking their full potential in diverse applications.
Area of Science:
- Materials Science
- Computational Mechanics
- Additive Manufacturing
Background:
- Triply Periodic Minimal Surfaces (TPMS) are mathematically defined structures with unique properties.
- Advancements in Additive Manufacturing (AM) have spurred interest in TPMS-based lattices.
- These lattices show promise for exceptional mechanical, thermal, and mass transfer applications.
Purpose of the Study:
- To provide a comprehensive review of TPMS-based lattice design, properties, optimization, and applications.
- To highlight strategies for multiscale optimization and the role of computational methods.
- To explore emerging integration of machine learning and multidisciplinary uses.
Main Methods:
- Review of design strategies including functional grading and hybridization.
- Analysis of performance in mechanical, thermal, and mass transfer domains.
- Discussion of topology optimization (TO) and machine learning integration.
- Examination of additive manufacturing technologies for TPMS fabrication.
Main Results:
- TPMS lattices demonstrate superior performance in heat dissipation, structural resistance, and biomimicry.
- Additive manufacturing enables precise and reproducible fabrication of complex TPMS geometries.
- Multiscale optimization is crucial for achieving optimal performance.
Conclusions:
- TPMS-based lattices represent a significant advancement in architected materials.
- Further research into unexplored areas is needed to fully realize their potential.
- Integration of advanced design, optimization, and manufacturing techniques is essential.

