Review, Triply Periodic Minimal Surfaces Structures in Energy Absorption: A Review of Geometric  Topologies, Manufacturing Constraints, and Future Smart Materials

Triply Periodic Minimal Surfaces Structures in Energy Absorption: A Review of Geometric  Topologies, Manufacturing Constraints, and Future Smart Materials

Authors

  • Tuan Thanh Nguyen University of Transports and Communications, 3 Cau Giay, Lang, 100000, Hanoi, Viet Nam Author
  • Ba Anh Le University of Transports and Communications, 3 Cau Giay, Lang, 100000, Hanoi, Viet Nam Author
  • Ștefan Ţălu Technical University of Cluj-Napoca, The Directorate of Research, Development and Innovation Management, Constantin Daicoviciu Street, no. 15, Cluj-Napoca, 400020, Cluj county, Romania Author

DOI:

https://doi.org/10.65273/hhit.jna.2026.2.2.035

Keywords:

Triply Periodic Minimal Surfaces, Energy Absorption, Additive Manufacturing, Selective Laser Melting, Topology Optimization

Abstract

Triply Periodic Minimal Surfaces (TPMS) have emerged as a pivotal class of cellular materials, reshaping lightweight structural design and functional integration in the context of Industry 4.0. This review provides a critical analysis of sheet-based TPMS architectures, benchmarking their performance against conventional strut-based lattices and stochastic metal foams across multiple material systems. The coupled effects of geometric topology (Gyroid, Diamond, Primitive, I-WP, and Lidinoid), additive manufacturing–induced defects, and dynamic energy absorption mechanisms under complex loading conditions are systematically examined. Particular emphasis is placed on quantifying the manufacturing-to-performance gap, demonstrating how surface roughness and lack-of-fusion porosity substantially degrade fatigue resistance and specific energy absorption through localized stress concentrations. Advanced design strategies, including functionally graded materials, numerical homogenization, and multi-phase architectures, are further discussed. The review concludes by outlining future directions toward multifunctional applications and AI-assisted inverse design, providing design-oriented guidelines for selecting flaw-tolerant TPMS architectures in safety-critical engineering systems.

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Published

2026-04-18

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How to Cite

Review, Triply Periodic Minimal Surfaces Structures in Energy Absorption: A Review of Geometric  Topologies, Manufacturing Constraints, and Future Smart Materials: Triply Periodic Minimal Surfaces Structures in Energy Absorption: A Review of Geometric  Topologies, Manufacturing Constraints, and Future Smart Materials. (2026). Journal of Nanomaterials and Applications (JNA), 2(2), 16-37. https://doi.org/10.65273/hhit.jna.2026.2.2.035

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