Page 82 - MSAM-2-3

Materials Science in

Additive Manufacturing

ORIGINAL RESEARCH ARTICLE
Triply periodic minimal surfaces lattice

structures: Functional graded and hybrid
designs for engineering applications

1
1
1
Tian Lan , Chenxi Peng , Kate Fox , Truong Do *, and Phuong Tran *
1
2
1 School of Engineering, RMIT University, Melbourne, VIC 3000, Australia
2 College of Engineering and Computer Science, Vin University, Hanoi 14000, Vietnam

Abstract
In this work, we propose the strategies for designing radial graded sheet-based
gyroid lattice and the approach to hybridizing solid-network-based gyroid lattice
and primitive lattice. The elastic property of triply periodic minimal surfaces (TPMS)
sheet-based gyroid lattice structures was explored. We also conducted numerical
analysis to investigate the effect of functionally graded sheet-based gyroid lattices
on the implant application, and explored the elastic properties of the uniform gyroid
lattice parametrically with different relative densities based on the representative
volume element model. Analytical equations based on the Gibson-Ashby model
were generated to predict the elastic properties. Compressive tests on the samples
*Corresponding authors:
Phuong Tran fabricated by the Stratasys J750 were conducted to validate the feasibility of applying
(jonathan.tran@rmit.edu.au) hybridization of different types of lattices. A comparison between radial hybrid
Truong Do primitive-gyroid and gyroid-primitive lattices revealed that the compressive behavior
(truong.dt@vinuni.edu.vn)
of gyroid-primitive was strengthened. We also found that the gyroid-primitive lattice
Citation: Lan T, Peng C, Fox K, could achieve auxetic compressive behavior. In conclusion, the numerical analysis
et al., 2023, Triply periodic
minimal surfaces lattice illustrates that the application of the functional graded gyroid lattices can relieve the
structures: Functional graded and stress shielding effect as well as protects the bone from damage. The hybridization
hybrid designs for engineering of different lattices can not only strengthen the mechanical properties of TPMS
applications. Mater Sci Add Manuf,
2(3): 1753. structures but also create a counter-intuitive deformation response.
https://doi.org/10.36922/msam.1753
Received: September 4, 2023 Keywords: Gyroid lattice; Functional graded lattice; Hybrid lattice; Additive
Accepted: September 11, 2023 manufacturing; PolyJet printing
Published Online: September 27,
2023
Copyright: © 2023 Author(s). 1. Introduction
This is an Open Access article
distributed under the terms of the Cellular structures, which are vitalized by the continuous progress in additive manufacturing
Creative Commons Attribution (AM) techniques, naturally have porous and lightweight characteristics, which explain
License, permitting distribution,
and reproduction in any medium, their excellent performance in various applications, including aerospace components [1,2] ,
provided the original work is energy absorption [3-6] , heat sink [7-9] , and biomedical implant applications [10,11] . Inspired
properly cited. by the principles observed in crystallographic and biological structures, lattice structures
Publisher’s Note: AccScience are characterized by architecturally designed unit cells and inherent periodicity, which
Publishing remains neutral with significantly enhance manufacturability and allow for manipulation of their mechanical
regard to jurisdictional claims in
published maps and institutional properties. To improve structural performance, large quantities of lattices have been
affiliations. developed based on their truss-based geometric features [12,13] . In addition, from the

Volume 2 Issue 3 (2023) 1 https://doi.org/10.36922/msam.1753