Comparative analysis of bio-inspired and topology-optimized lattices under compressive loading
DOI:
https://doi.org/10.24036/teknomekanik.v9i1.45472Keywords:
lattice structures, topology optimization, compressive behaviour, material engineeringAbstract
Lattice structure design is still dominated by strut-based forms and surface-based shapes, such as triply periodic minimal surfaces (TPMS), which both exhibit overlapping limitations. Strut lattices often show strong anisotropy because their response depends heavily on cell orientation, while TPMS lattices are difficult to adjust when bounded by geometric constraints. These conditions eventually led to stagnation in the development of lattice morphology. Hybrid and topology-optimization methods have appeared as possible alternatives, but many of them still produce modified versions of classical patterns. This study examined two lattice geometries: the Pyramorph, inspired by the shape of a pyramid, and the Topomorph, generated through a topology optimization framework. Both structures were designed using a CAD unit cell patterning technique and manufactured using the FDM method, with relative densities ranging from 0.40 to 0.44. Their mechanical behaviour was examined through FEA simulation and uniaxial compression testing. The parameter variations included cell orientations of 0°, 15°, 30°, and 45°, and cell sizes of 8 mm and 12 mm within a 24 mm specimen. The Topomorph showed superior strength, reaching 15–20 MPa, while the Pyramorph reached only 7–8 MPa. The highest value, about 20.5 MPa, was obtained from the Topomorph at 0° and with an 8 mm cell size. Failure modes indicated buckling and delamination in the Pyramorph, while the Topomorph tended to collapse progressively. These findings indicate that topology optimization combined with CAD-based patterning could significantly improve lattice performance.
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References
M. Bici et al., “Development of a multifunctional panel for aerospace use through SLM additive manufacturing,” Procedia CIRP, vol. 67, pp. 215–220, 2018, https://doi.org/10.1016/j.procir.2017.12.202
H. Monjezi, M. Asghari, and K. Mohammadi, “Hybrid layered octahedron-based lattice structures, deformation pattern and mechanical properties,” Results in Engineering, vol. 26, p. 105082, 2025, https://doi.org/10.1016/j.rineng.2025.105082
A. Ahmad, L. Belluomo, M. Bici, and F. Campana, “Bird’s Eye View on Lattice Structures: Design Issues and Applications for Best Practices in Mechanical Design,” Metals (Basel), vol. 13, no. 10, 2023, https://doi.org/10.3390/met13101666
C. Pan, Y. Han, and J. Lu, “Design and optimization of lattice structures: A review,” Applied Sciences, vol. 10, no. 18, p. 6374, 2020. https://doi.org/10.3390/app10186374
M. Zhao, D. Z. Zhang, Z. Li, T. Zhang, H. Zhou, and Z. Ren, “Design, mechanical properties, and optimization of BCC lattice structures with taper struts,” Composite Structures, vol. 295, p. 115830, 2022. https://doi.org/10.1016/j.compstruct.2022.115830
Y. Lin et al., “Influence of Density Gradient on the Compression of Functionally Graded BCC Lattice Structure,” Materials, vol. 16, no. 2, 2023, https://doi.org/10.3390/ma16020520
T. Tancogne-Dejean and D. Mohr, “Elastically-isotropic truss lattice materials of reduced plastic anisotropy,” International Journal of Solids and Structures, vol. 138, pp. 24–39, 2018, https://doi.org/10.1016/j.ijsolstr.2017.12.025
J. Feng, B. Liu, Z. Lin, and J. Fu, “Isotropic octet-truss lattice structure design and anisotropy control strategies for implant application,” Materials and Design, vol. 203, p. 109595, 2021, https://doi.org/10.1016/j.matdes.2021.109595
S. Xu, J. Shen, S. Zhou, X. Huang, and Y. M. Xie, “Design of lattice structures with controlled anisotropy,” Materials and Design, vol. 93, pp. 443–447, 2016, https://doi.org/10.1016/j.matdes.2016.01.007
A. Kumar, L. Collini, A. Daurel, and J. Y. Jeng, “Design and additive manufacturing of closed cells from supportless lattice structure,” Additive Manufacturing, vol. 33, no. January, p. 101168, 2020, https://doi.org/10.1016/j.addma.2020.101168
S. E. Alkhatib, A. Karrech, and T. B. Sercombe, “Isotropic energy absorption of topology optimized lattice structure,” Thin-Walled Structures, vol. 182, no. June 2022, p. 110220, 2023, https://doi.org/10.1016/j.tws.2022.110220
Y. Li, D. Jiang, R. Zhao, X. Wang, L. Wang, and L. C. Zhang, “High Mechanical Performance of Lattice Structures Fabricated by Additive Manufacturing,” Metals, vol. 14, no. 10, 2024, https://doi.org/10.3390/met14101165
M. Peto, E. Ramírez-Cedillo, A. Hernández, and H. R. Siller, “Structural design optimization of knee replacement implants for Additive Manufacturing,” Procedia Manufacturing, vol. 34, no. July, pp. 574–583, 2019, https://doi.org/10.1016/j.promfg.2019.06.222
N. Letov and Y. F. Zhao, “A geometric modelling framework to support the design of heterogeneous lattice structures with non-linearly varying geometry,” Journal of Computational Design and Engineering, vol. 9, no. 5, pp. 1565–1584, 2022, https://doi.org/10.1093/jcde/qwac076
J. G. Lee, Y. B. Jun, and K. Hur, “Octahedron subgroups and subrings,” Mathematics, vol. 8, no. 9, pp. 1–33, 2020, https://doi.org/10.3390/MATH8091444
A. A. Arifin, I. M. L. Batan, M. Bici, A. Wahjudi, and A. S. Pramono, “Investigation of discrepancies in isotropic material and structural properties in lattice frameworks,” Mechanical Engineering for Society and Industry, vol. 5, no. 1, pp. 245–256, 2025, https://doi.org/10.31603/mesi.13018
A. A. Arifin, I. M. L. Batan, M. Bici, A. Wahjudi, and A. S. Pramono, “Isotropic Body-Centered Cubic (BCC) Lattice Structure Design,” in Smart Innovation in Mechanical Engineering, A. El Kharbachi, I. D. Wijayanti, P. Suwarta, and I. Tolj, Eds., Singapore: Springer Nature Singapore, 2025, pp. 45–53. https://doi.org/10.1007/978-981-97-7898-0_6
I. Gibson, D. Rosen, B. Stucker, and M. Khorasani, Additive Manufacturing Technologies. Cham: Springer International Publishing, 2021. https://doi.org/10.1007/978-3-030-56127-7
N. Letov and Y. F. Zhao, “A geometric modelling framework to support the design of heterogeneous lattice structures with non-linearly varying geometry,” Journal of Computational Design and Engineering, vol. 9, no. 5, pp. 1565–1584, Oct. 2022, https://doi.org/10.1093/jcde/qwac076
L. Piegl and W. Tiller, “Conics and Circles,” pp. 281–331, 1997, https://doi.org/10.1007/978-3-642-59223-2_7
M. Saleh, S. Anwar, A. M. Al-Ahmari, and A. Alfaify, “Compression performance and failure analysis of 3D-printed carbon fiber/PLA composite TPMS lattice structures,” Polymers, vol. 14, no. 21, p. 4595, 2022. https://doi.org/10.3390/polym14214595
M. M. Rahman, J. Sultana, S. Bin Rayhan, and A. Ahmed, “Optimization of FDM manufacturing parameters for the compressive behavior of cubic lattice cores: an experimental approach by Taguchi method,” The International Journal of Advanced Manufacturing Technology, vol. 129, no. 3, pp. 1329–1343, 2023. https://doi.org/10.1007/s00170-023-12342-9
A. Kumar, L. Collini, A. Daurel, and J. Y. Jeng, “Design and additive manufacturing of closed cells from supportless lattice structure,” Additive Manufacturing, vol. 33, no. January, p. 101168, 2020, https://doi.org/10.1016/j.addma.2020.101168
G. J. Shah, A. Nazir, S.-C. Lin, and J.-Y. Jeng, “Design for Additive Manufacturing and Investigation of Surface-Based Lattice Structures for Buckling Properties Using Experimental and Finite Element Methods.,” Materials (Basel, Switzerland), vol. 15, no. 11, Jun. 2022, https://doi.org/10.3390/ma15114037
M. Saleh, S. Anwar, A. M. Al-Ahmari, and A. Alfaify, “Compression Performance and Failure Analysis of 3D-Printed Carbon Fiber/PLA Composite TPMS Lattice Structures,” Polymers, vol. 14, no. 21, 2022, https://doi.org/10.3390/polym14214595
S. O. Obadimu and K. I. Kourousis, “Compressive behaviour of additively manufactured lattice structures: A review,” Aerospace, vol. 8, no. 8, 2021, https://doi.org/10.3390/aerospace8080207
A. Malekshahi, S. J. Salami, H. Geramizadeh, and S. Dariushi, “A novel combined tubular 3D-printed lattice structures with coupling effects for enhancing energy absorption,” Results in Engineering, vol. 26, p. 105350, 2025, https://doi.org/10.1016/j.rineng.2025.105350
G. Meyer, H. Wang, and C. Mittelstedt, “Influence of geometrical notches and form optimization on the mechanical properties of additively manufactured lattice structures,” Materials & Design, vol. 222, p. 111082, 2022. https://doi.org/10.1016/j.matdes.2022.111082
V. Chmelko, M. Harakaľ, P. Žlábek, M. Margetin, and R. Ďurka, “Simulation of Stress Concentrations in Notches,” Metals, vol. 12, no. 1. 2022. https://doi.org/10.3390/met12010043
N. Kladovasilakis, K. Tsongas, and D. Tzetzis, “Mechanical and FEA-assisted characterization of fused filament fabricated triply periodic minimal surface structures,” Journal of Composites Science, vol. 5, no. 2, p. 58, 2021. https://doi.org/10.3390/jcs5020058
M. Zheng, K. Ghabraie, Y. Yang, J. Elambasseril, W. Xu, and Y. Wang, “Quantitative surface characterisation and stress concentration of additively manufactured NiTi lattice struts,” The International Journal of Advanced Manufacturing Technology, vol. 130, no. 9, pp. 4861–4882, 2024, https://doi.org/10.1007/s00170-024-13024-w
Y. Xu, T. Li, X. Cao, Y. Tan, and P. Luo, “Compressive Properties of 316L Stainless Steel Topology-Optimized Lattice Structures Fabricated by Selective Laser Melting,” Advanced Engineering Materials, vol. 23, no. 3, p. 2000957, Mar. 2021, https://doi.org/10.1002/adem.202000957
L. Zhang et al., “Topology-optimized lattice structures with simultaneously high stiffness and light weight fabricated by selective laser melting: Design, manufacturing and characterization,” Journal of Manufacturing Processes, vol. 56, pp. 1166–1177, 2020, https://doi.org/10.1016/j.jmapro.2020.06.005
B. Jagadeesh and M. Duraiselvam, “Investigations on the compressive behaviour of novel cell size graded primitive lattice structure produced by Metal Additive Manufacturing,” Materials Letters, vol. 333, p. 133643, 2023, https://doi.org/10.1016/j.matlet.2022.133643
J. Hu, A. T. L. Tan, H. Chen, and X. Hu, “Superior compressive properties of 3D printed plate lattice mechanical metamaterials,” International Journal of Mechanical Sciences, vol. 231, p. 107586, 2022, https://doi.org/10.1016/j.ijmecsci.2022.107586
W. Song et al., “Mechanical Behavior of Topology-Optimized Lattice Structures Fabricated by Additive Manufacturing,” Materials, vol. 18, no. 15, p. 3614, 2025, https://doi.org/10.3390/ma18153614
P. Dong, J. Hu, C. Lin, W. Ding, J. Liu, and Y. Liu, “Topology-optimized lattice enhanced cementitious composites,” Materials & Design, vol. 244, p. 113155, 2024, https://doi.org/10.1016/j.matdes.2024.113155
S. O. Obadimu and K. I. Kourousis, “Compressive Behaviour of Additively Manufactured Lattice Structures: A Review,” Aerospace, vol. 8, no. 8. 2021. https://doi.org/10.3390/aerospace8080207
W. Xu et al., “Design and performance evaluation of additively manufactured composite lattice structures of commercially pure Ti (CP-Ti).,” Bioactive materials, vol. 6, no. 5, pp. 1215–1222, May 2021, https://doi.org/10.1016/j.bioactmat.2020.10.005
W. Radlof, C. Benz, and M. Sander, “Numerical and experimental investigations of additively manufactured lattice structures under quasi-static compression loading,” Material Design & Processing Communications, vol. 3, no. 3, p. e164, Jun. 2021, https://doi.org/https://doi.org/10.1002/mdp2.164
D. Liović et al., “A Study on the Compressive Behavior of Additively Manufactured AlSi10Mg Lattice Structures,” Materials, vol. 17, no. 21. 2024. https://doi.org/10.3390/ma17215188
Y. Deng, B. Li, Z. Huang, Y. Lin, and Y. Li, “Experimental and numerical studies on the compression responses of novel mixed lattice structures,” Materials Today Communications, vol. 33, p. 104439, 2022. https://doi.org/10.1016/j.mtcomm.2022.104439
X. Cao et al., “Compression experiment and numerical evaluation on mechanical responses of the lattice structures with stochastic geometric defects originated from additive-manufacturing,” Composites Part B: Engineering, vol. 194, p. 108030, 2020. https://doi.org/10.1016/j.compositesb.2020.108030
M. Amirpour and M. Battley, “Study of manufacturing defects on compressive deformation of 3D-printed polymeric lattices,” The International Journal of Advanced Manufacturing Technology, vol. 122, no. 5, pp. 2561–2576, 2022. https://doi.org/10.1007/s00170-022-10062-0
I. Echeta, B. Dutton, R. K. Leach, and S. Piano, “Finite element modelling of defects in additively manufactured strut-based lattice structures,” Additive Manufacturing, vol. 47, p. 102301, 2021, https://doi.org/10.1016/j.addma.2021.102301
A. Amirian, M. Battley, O. Diegel, and M. Amirpour, “Additive manufacturing defects in polymeric lattice structures: a comprehensive analysis of morphology, distribution, and printing orientation influence,” The International Journal of Advanced Manufacturing Technology, vol. 140, no. 9, pp. 5361–5384, 2025, https://doi.org/10.1007/s00170-025-16521-8
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