Research Articles | Challenge Journal of Structural Mechanics

Numerical investigation of the effective mechanical properties of Octet Truss lattice structures with different strut geometry

Hojjat Ghahramanzadeh Asl, Elif Altıntaş Kahriman, Derya Karaman

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Lattice structures have an important role in lightweight structure applications as they can supply their mechanical performance with less material. Porous structures designed with inspiration from nature, has been used in many industries such as aerospace, automotive, defense industry and biomedical field. In order to continue these advances, studies on various design configurations of porous structure geometries are carried out. This study aimed to increase the usage potential of Octet Truss lattice structures in various sectors. A numerical model is created for 3 variable parameters: strut geometry, porosity, and material type. The effective elastic modulus values are determined based on the principles of Hooke's law for each model. Based on the obtained effective elastic modulus values, it has been concluded that differences in strut geometries, porosities, and material types contribute to 1.27%, 68.85%, and 29.86% of the observed effects, respectively. In order to establish a correlation between these factors, the data is transmitted to the MATLAB software, where equations are generated using the curve fitting approach. A total of nine equations have been generated and the R-square for these equations above 0.99. According to the two desired constant values, the effective elastic modulus can be calculated using these equations without any restrictions.


lattice structure; effective elastic modulus; finite element analysis; curve fitting method; strut geometry


Al-Ketan O, Abu Al-Rub RK (2019). Multifunctional mechanical metamaterials based on triply periodic minimal surface lattices. Advanced Engineering Materials, 21(10), 1900524.

Aney S, & Rege A (2023). The effect of pore sizes on the elastic behaviour of open-porous cellular materials. Mathematics and Mechanics of Solids, 28(7), 1624-1634.

Arabnejad S, Johnston B, Tanzer M, Pasini D (2017). Fully porous 3D printed titanium femoral stem to reduce stress-shielding following total hip arthroplasty. Journal of Orthopaedic Research, 35(8), 1774-1783.

Ashby M (2013). Designing architectured materials. Scripta Materialia, 68(1), 4-7.

Bai L, Gong C, Chen X, Sun Y, Xin L, Pu H, Luo J (2020). Mechanical properties and energy absorption capabilities of functionally graded lattice structures: Experiments and simulations. International Journal of Mechanical Sciences, 182, 105735.

Günther F, Wagner M, Pilz S, Gebert A, Zimmermann M (2022). Design procedure for triply periodic minimal surface based biomimetic scaffolds. Journal of the Mechanical Behavior of Biomedical Materials, 126, 104871.

Karaman D, Ghahramanzadeh Asl H, Altıntaş Kahriman E (2022). Estimation and Comparison of Effective Elastic Modulus of Different Scaffolds Using Curve Fitting Method for Additive Manufacturing Field. Arabian Journal for Science and Engineering, 47, 15973-15987.

Langlois V, Trinh VH, Lusso C, Perrot C, Chateau X, Khidas Y, Pitois O (2018). Permeability of solid foam: Effect of pore connections. Physical Review E, 97(5), 053111.

Lei HY, Li JR, Xu ZJ, Wang QH (2020). Parametric design of Voronoi-based lattice porous structures. Materials & Design, 191, 108607.

Ma TH, Chang L, Guo S, Kong LR, He XH, Zhou CY (2020). Comparison of multiaxial low cycle fatigue behavior of CP-Ti under strain-controlled mode at different multiaxial strain ratios. International Journal of Fatigue, 140, 105818.

Majeed M, Khan HM, Wheatley G, Situ R (2022). Influence of post-processing on additively manufactured lattice structures. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44(9), 389.

Maskery I, Sturm L, Aremu AO, Panesar A, Williams CB, Tuck CJ, Hague RJ (2018). Insights into the mechanical properties of several triply periodic minimal surface lattice structures made by polymer additive manufacturing. Polymer, 152, 62-71.

Mercer C, Speck T, Lee J, Balint DS, Thielen M (2022). Effects of geometry and boundary constraint on the stiffness and negative Poisson's ratio behaviour of auxetic metamaterials under quasi-static and impact loading. International Journal of Impact Engineering, 169, 104315.

Meza LR, Phlipot GP, Portela CM, Maggi A, Montemayor LC, Comella A, Greer JR (2017). Reexamining the mechanical property space of three-dimensional lattice architectures. Acta Materialia, 140, 424-432.

Park SJ, Lee JH, Yang J, Heogh W, Kang D, Yeon SM, Park J (2022). Lightweight injection mold using additively manufactured Ti-6Al-4V lattice structures. Journal of Manufacturing Processes, 79, 759-766.

Refai K, Montemurro M, Brugger C, Saintier N (2020). Determination of the effective elastic properties of titanium lattice structures. Mechanics of Advanced Materials and Structures, 27(23), 1966-1982.

Suard M, Martin G, Lhuissier P, Dendievel R, Vignat F, Blandin JJ, Villeneuve F (2015). Mechanical equivalent diameter of single struts for the stiffness prediction of lattice structures produced by Electron Beam Melting. Additive Manufacturing, 8, 124-131.

Tao W, Leu MC (2016). Design of lattice structure for additive manufacturing. In 2016 International Symposium on Flexible Automation, USA, 325-332.

Vasiliev VV, Barynin VA, Razin AF (2012). Anisogrid composite lattice structures–Development and aerospace applications. Composite structures, 94(3), 1117-1127.

Wadley HN (2006). Multifunctional periodic cellular metals. Philosophical Transactions of the Royal Society A: Mathematical. Physical and Engineering Sciences, 364(1838), 31-68.

Wang P, Bian Y, Yang F, Fan H, Zheng B (2020). Mechanical properties and energy absorption of FCC lattice structures with different orientation angles. Acta Mechanica, 231, 3129-3144.

Wang P, Yang F, Ru D, Zheng B, Fan H (2021). Additive-manufactured hierarchical multi-circular lattice structures for energy absorption application. Materials & Design, 210, 110116.

Wang M, Zhang J, Wang W, Gao L (2022). Compression behaviors of the bio-inspired hierarchical lattice structure with improved mechanical properties and energy absorption capacity. Journal of Materials Research and Technology, 17, 2755-2771.

Xu Y, Zhang D, Hu S, Chen R, Gu Y, Kong X, Jiang Y (2019). Mechanical properties tailoring of topology optimized and selective laser melting fabricated Ti6Al4V lattice structure. Journal of the mechanical behavior of biomedical materials, 99, 225-239.

Zhao M, Liu F, Fu G, Zhang DZ, Zhang T, Zhou H (2018). Improved mechanical properties and energy absorption of BCC lattice structures with triply periodic minimal surfaces fabricated by SLM. Materials, 11(12), 2411.

Zheng HD, Liu LL, Deng CL, Shi ZF, Ning CY (2019). Mechanical properties of AM Ti6Al4V porous scaffolds with various cell structures. Rare Metals, 38, 561-570.


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