Mechanical properties assessment for a titanium alloy plate lattice: Finite element and analytical studies
Source abstract
Abstract
The development of metamaterials with optimal mechanical isotropy and specific stiffness/strength remains a significant challenge in lightweight materials research. Plate lattice architectures emerge as the most promising structural solution to meet these demanding performance requirements. This research systematically examines titanium alloy plate lattice structures incorporating both simple cubic (SC) and face-centered cubic (FCC) topologies using combined analytical and numerical approaches. The resulting titanium SC-FCC plate lattices demonstrate exceptional stiffness and strength approaching theoretical limits, while maintaining remarkable mechanical isotropy. Comprehensive characterization includes directional stiffness/yield stress distributions, initial failure mechanism mapping, and crushing mode analysis for this cellular titanium material. Practical evaluations address geometric tailoring and density grading effects. The study establishes closed-form Gibson-Ashby scaling laws for stiffness and yield stress across broad relative density ranges. With mechanical properties surpassing numerous materials in Ashby charts, the titanium SC-FCC plate lattice shows outstanding potential for load-bearing applications, offering superior performance-to-weight characteristics critical for advanced engineering designs.Graphical abstract
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Cellular and Composite Structures · Mechanical Behavior of Composites · Composite Material Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (54)
Show source-provided references
1. T. Schaedler, W. Carter, Architected cellular materials. Annu. Rev. Mater. Res. 46(1), 187–210 (2016)10.1146/annurev-matsci-070115-031624 ↗
2. S. Yeo, M. Oh, P. Yoo, Structurally controlled cellular architectures for high-performance ultra-lightweight materials. Adv. Mater. 31(34), 1803670 (2019)10.1002/adma.201803670 ↗
3. J. Bauer, S. Hengsbach, I. Tesari, R. Schwaiger, O. Kraft, High-strength cellular ceramic composites with 3D microarchitecture. Proc. Natl. Acad. Sci. U.S.A. 111(7), 2453–2458 (2014)10.1073/pnas.1315147111 ↗
4. Y. Wang, B. Ramirez, K. Carpenter, C. Naify, D. Hofmann, C. Daraio, Architected lattices with adaptive energy absorption. Extrem. Mech. Lett. 33, 100557 (2019)
5. L. An et al., Tailoring thermal insulation architectures from additive manufacturing. Nat. Commun. 13(1), 4309 (2022)10.1038/s41467-022-32027-3 ↗
6. Y. Fu, C. Qiu, L. Ni, H. Ye, H. Zou, Y. Luo, Y.M. Liang, Cell structure control and performance of rigid polyurethane foam with lightweight, good mechanical, thermal insulation and sound insulation. Constr. Build. Mater. 447, 138068 (2024)10.1016/j.conbuildmat.2024.138068 ↗
7. A. Plessis et al., Properties and applications of additively manufactured metallic cellular materials: a review. Prog. Mater. Sci. 125, 100918 (2022)10.1016/j.pmatsci.2021.100918 ↗
8. A. Nazir, K. Abate, A. Kumar, J. Jeng, A state-of-the-art review on types, design, optimization, and additive manufacturing of cellular structures. Int. J. Adv. Manuf. Technol. 104, 3489–3510 (2019)10.1007/s00170-019-04085-3 ↗
9. L.J. Gibson, M.F. Ashby, Cellular solids: structure and properties (Cambridge University Press, Cambridge, 1999)
10. N.A. Fleck, An overview of the mechanical properties of foams and periodic lattice materials. Cell Met Polym 3–7 (2004)
11. V. Deshpande, N. Fleck, M. Ashby, Effective properties of the octet-truss lattice material. J. Mech. Phys. Solids 49(8), 1747–1769 (2001)10.1016/S0022-5096(01)00010-2 ↗
12. X. Zhang, A. Vyatskikh, H. Gao, J. Greer, X. Li, Lightweight, flaw-tolerant, and ultrastrong nanoarchitected carbon. Proc. Natl. Acad. Sci. U.S.A. 116(14), 6665–6672 (2019)10.1073/pnas.1817309116 ↗
13. I. Ullah, M. Brandt, S. Feih, Failure and energy absorption characteristics of advanced 3D truss core structures. Mater. Des. 92, 937–948 (2016)10.1016/j.matdes.2015.12.058 ↗
14. L. Han, S. Che, An overview of materials with triply periodic minimal surfaces and related geometry: from biological structures to self-assembled systems. Adv. Mater. 30(17), 1705708 (2018)10.1002/adma.201705708 ↗
15. X. Guo, J. Ding, X. Li et al., Interpenetrating phase composites with 3D printed triply periodic minimal surface (TPMS) lattice structures. Compos. Part B Eng. 248, 110351 (2023)
16. B. Nguyen, J. Cho, K. Kang, Optimal design of “Shellular”, a micro-architectured material with ultralow density. Mater. Des. 95, 490–500 (2016)10.1016/j.matdes.2016.01.126 ↗
17. M. Lee, J. Lee, S. Han, K. Kang, Mechanical analyses of “Shellular”, an ultralow-density material. Acta Mater. 103, 595–607 (2016)10.1016/j.actamat.2015.10.040 ↗
18. J.B. Berger, H.N.G. Wadley, R.M. McMeeking, Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness. Nature 543, 533–537 (2017)10.1038/nature21075 ↗
19. T. Tancogne-Dejean, M. Diamantopoulou, M. Gorji, C. Bonatti, D. Mohr, 3D plate-lattices: an emerging class of low-density metamaterial exhibiting optimal isotropic stiffness. Adv. Mater. 30(45), 1803334 (2018)10.1002/adma.201803334 ↗
20. C. Crook, J. Bauer, A. Izard, C. Oliveira, J. Silva, J. Berger, L. Valdevit, Plate-nanolattices at the theoretical limit of stiffness and strength. Nat. Commun. 11(1), 1579 (2020)10.1038/s41467-020-15434-2 ↗
21. M. Baishya, N. Muthu, P. Khanikar, In pursuit of a high-performance mechanical metamaterial: simple-cubic-octahedral plate lattice. Int. J. Mech. Sci. 272, 109189 (2024)10.1016/j.ijmecsci.2024.109189 ↗
22. J. Jakubowicz, Ti-based biomaterials: synthesis, properties and applications. Materials 13, 1696 (2020)10.3390/ma13071696 ↗
23. W.S.W. Harun, N.S. Manam, M.S.I.N. Kamariah, S. Sharif, A.H. Zulkifly, I. Ahmad, H. Miura, A review of powdered additive manufacturing techniques for Ti-6Al-4V biomedical applications. Powder Technol. 331, 74–97 (2018)10.1016/j.powtec.2018.03.010 ↗
24. S. Xu et al., The Chinese knot inspired anisotropic TC4 lattice structures: ultra-high specific strength in engineering materials. Mater. Des. 244, 113121 (2024)
25. A. Bernard, M. ElSayed, Design, manufacturing, and analysis of periodic three-dimensional cellular materials for energy absorption applications: a critical review. Materials 17(10), 2181 (2024)10.3390/ma17102181 ↗
26. N. Soro, E. Brodie, A. Abdal-hay, A. Alali, D. Kent, M. Dargusch, Additive manufacturing of biomimetic titanium-Tantalum lattices for biomedical implant applications. Mater. Des. 218, 110688 (2022)10.1016/j.matdes.2022.110688 ↗
27. Z. Hashin, S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials. J. Mech. Phys. Solids 11, 127–140 (1963)10.1016/0022-5096(63)90060-7 ↗
28. T. Tancogne-Dejean, X. Li, M. Diamantopoulou, C. Roth, D. Mohr, High strain rate response of additively-manufactured plate-lattices: experiments and modeling. J. Dyn. Behav. Mater. 5, 361–375 (2019)10.1007/s40870-019-00219-6 ↗
29. L. Meza, G. Phlipot, C. Portela, A. Maggi, L. Montemayor, A. Comella, D. Kochmann, J. Greer, Reexamining the mechanical property space of three-dimensional lattice architectures. Acta Mater. 140, 424–432 (2017)10.1016/j.actamat.2017.08.052 ↗
30. L. Dong, Mechanical responses of snap-fit Ti-6Al-4V warren-truss lattice structures. Int. J. Mech. Sci. 173, 105460 (2020)10.1016/j.ijmecsci.2020.105460 ↗
31. S. Duan, W. Wen, D. Fang, Additively-manufactured anisotropic and isotropic 3D plate-lattice materials for enhanced mechanical performance: simulations & experiments. Acta Mater. 199, 397–412 (2020)10.1016/j.actamat.2020.08.063 ↗
32. S. Tyagi, M. Manjaiah, Additive manufacturing of titanium-based lattice structures for medical applications–a review. Bioprinting 30, e00267 (2023)10.1016/j.bprint.2023.e00267 ↗
33. C. Bonatti, D. Mohr, Smooth-shell metamaterials of cubic symmetry: anisotropic elasticity, yield strength and specific energy absorption. Acta Mater. 164, 301–321 (2019)10.1016/j.actamat.2018.10.034 ↗
34. C. Bonatti, D. Mohr, Large deformation response of additively-manufactured FCC metamaterials: from octet truss lattices towards continuous shell mesostructures. Int. J. Plast. 92, 122–147 (2017)10.1016/j.ijplas.2017.02.003 ↗
35. R. Li, M. Jin, V.C. Paquit, Geometrical defect detection for additive manufacturing with machine learning models. Mater. Des. 206, 109726 (2021)
36. T. Schaedler, C. Ro, A. Sorensen, Z. Eckel, S. Yang, W. Carter, A. Jacobsen, Designing metallic microlattices for energy absorber applications. Adv. Eng. Mater. 16, 276–283 (2014)10.1002/adem.201300206 ↗
37. L. Dong, V. Liang, H. Deshpande, H. Wadley, Mechanical response of Ti–6Al–4V octet-truss lattice structures. Int. J. Solids Struct. 60, 107–124 (2015)10.1016/j.ijsolstr.2015.02.020 ↗
38. T. Tancogne-Dejean, A. Spierings, D. Mohr, Additively-manufactured metallic micro-lattice materials for high specific energy absorption under static and dynamic loading. Acta Mater. 116, 14–28 (2016)10.1016/j.actamat.2016.05.054 ↗
39. F. Shen et al., Energy absorption of thermoplastic polyurethane lattice structures via 3D printing: modeling and prediction. Int. J. Appl. Mech. 8, 1640006 (2016)10.1142/S1758825116400068 ↗
40. F.N. Habib, P. Iovenitti, S.H. Masood, M. Nikzad, Fabrication of polymeric lattice structures for optimum energy absorption using multi jet fusion technology. Mater. Des. 155, 86–98 (2018)10.1016/j.matdes.2018.05.059 ↗
41. A. Rifaie, A.M. Mohammed, R. Srinivasan, Compression behavior of three-dimensional printed polymer lattice structures. Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl. 233, 1574–1584 (2019)10.1177/1350650119840251 ↗
42. A. Mauko et al., High strain-rate deformation analysis of open-cell aluminium foam. J. Mater. Res. Technol. 25, 1208–1221 (2023)10.1016/j.jmrt.2023.05.280 ↗
43. N. Novak et al., Compressive behaviour of closed-cell aluminium foam at different strain rates. Materials 12, 4108 (2019)10.3390/ma12244108 ↗
44. X. Xia, H. Feng, X. Zhang, W. Zhao, The compressive properties of closed-cell Aluminum foams with different Mn additions. Mater. Des. 51, 797–802 (2013)10.1016/j.matdes.2013.05.008 ↗
45. H. Yin, Z. Liu, J. Dai, G. Wen, C. Zhang, Crushing behavior and optimization of sheet-based 3D periodic cellular structures. Compos. Part B Eng. 182, 107565 (2020)
46. S. AlMahri et al., Evaluation of the dynamic response of triply periodic minimal surfaces subjected to high strain-rate compression. Addit. Manuf. 46, 102220 (2021)
47. G. Gunashekar, Compressive response of additively manufactured Ti–6Al–4V triply periodic minimal surface structures with different unit cell designs for biomedical implant applications. Mater. Today Commun. 44, 112013 (2025)
48. D.R. Sumner, Long-term implant fixation and stress-shielding in total hip replacement. J. Biomech. 48, 797–800 (2015)10.1016/j.jbiomech.2014.12.021 ↗
49. S. Omairey, P. Dunning, S. Sriramula, Development of an Abaqus plugin tool for periodic RVE homogenisation. Eng. Comput. 35, 567–577 (2019)10.1007/s00366-018-0616-4 ↗
50. D. Leseur, Experimental Investigations of Material Models for Ti-6Al-4V Titanium and 2024-T3 Aluminum, in, U.S. Department of Transportation Federal Aviation Administration, Lawrence Livermore National Laboratory Livermore, CA 94551, (2000)10.2172/11977 ↗
51. H. Zhou, N. He, D. Zhang, M. Zhao, T. Zhang, X. Ma, Mechanical properties of functionally graded rotating lattice structures fabricated with SLM process. Mater. Today Commun. 33, 104740 (2022)
52. Q. Zheng, H. Fan, Equivalent continuum method of plane-stress dominated plate-lattice materials. Thin-Walled Struct. 164, 107865 (2021)10.1016/j.tws.2021.107865 ↗
53. C. Wang, K. Liew, Y. Xiang, S. Kitipornchai, Buckling of rectangular Mindlin plates with internal line supports. Int. J. Solids Struct. 30(1), 1–17 (1993)10.1016/0020-7683(93)90129-U ↗
54. C. Wang, K. Liew, Buckling of triangular plates under uniform compression. Eng. Struct. 16, 43–50 (1994)10.1016/0141-0296(94)90103-1 ↗