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Acta Mechanica

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29.12.2022 | Original Paper

Analysis and optimization of strut-based lattice structures by simplified finite element method

verfasst von: M. R. Kamranfard, H. Darijani, H. Rokhgireh, S. Khademzadeh

Erschienen in: Acta Mechanica | Ausgabe 4/2023

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Abstract

In this paper, the mechanical behavior of the lattice structures composed of unit cells such as BCC, BCCZ, FCC, FCCZ, and cubic arrangements with the struts in the forms of circle, rectangle, square, triangle, I-shape, and hollow-square longitudinal sections is examined. For this purpose, the elastic behavior of a lattice cubic with dimensions of 2 (cm) × 2 (cm) × 2 (cm) consisting of 125 unit cells and more than 1000 beam elements is investigated under the compressive loading using the finite element method. In this analysis, the mechanical properties such as stiffness, absorbed mechanical energy, and stiffness-to-weight ratio are determined for these cellular structures, and the orientations of their struts are optimized so that the structure's stiffness–weight ratio is increased. It was observed that the cellular structures with an I-shaped cross-section have the highest stiffness-to-weight ratio among the studied cross-sections.

Vorheriger Artikel Deep energy method in topology optimization applications

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|PROENG, https://proeng.ir/page/10/

Liu, G., Zhang, X., Chen, X., He, Y., Cheng, L., Huo, M., Yin, J., Hao, F., Chen, S., Wang, P., Yi, S., Wan, L., Mao, Z., Chen, Z., Wang, X., Cao, Z., Lu, J.: Additive manufacturing of structural materials. Mater. Sci. Eng. R Rep. (2021). https://doi.org/10.1016/j.mser.2020.100596CrossRef

Gong, H., Rafi, K., Gu, H., Starr, T., Stucker, B.: Analysis of defect generation in Ti-6Al-4V parts made using powder bed fusion additive manufacturing processes. Addit. Manuf. 1, 87–98 (2014). https://doi.org/10.1016/j.addma.2014.08.002CrossRef

Smith, M., Guan, Z., Cantwell, W.J.: Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique. Int. J. Mech. Sci. 67, 28–41 (2013). https://doi.org/10.1016/j.ijmecsci.2012.12.004CrossRef

Yan, C., Hao, L., Hussein, A., Bubb, S.L., Young, P., Raymont, D.: Evaluation of light-weight AlSi10Mg periodic cellular lattice structures fabricated via direct metal laser sintering. J. Mater. Process. Technol. 214, 856–864 (2014). https://doi.org/10.1016/j.jmatprotec.2013.12.004CrossRef

Zadpoor, A.A.: Mechanical performance of additively manufactured meta-biomaterials (2019)

Köhnen, P., Haase, C., Bültmann, J., Ziegler, S., Schleifenbaum, J.H., Bleck, W.: Mechanical properties and deformation behavior of additively manufactured lattice structures of stainless steel. Mater. Des. 145, 205–217 (2018). https://doi.org/10.1016/j.matdes.2018.02.062CrossRef

Babaee, S., Shim, J., Weaver, J.C., Chen, E.R., Patel, N., Bertoldi, K.: 3D soft metamaterials with negative Poisson’s ratio. Adv. Mater. 25, 5044–5049 (2013). https://doi.org/10.1002/adma.201301986CrossRef

Duoss, E.B., Weisgraber, T.H., Hearon, K., Zhu, C., Small, W., IV., Metz, T.R., Vericella, J.J., Barth, H.D., Kuntz, J.D., Maxwell, R.S., Spadaccini, C.M., Wilson, T.S.: Three-dimensional printing of elastomeric, cellular architectures with negative stiffness. Adv. Funct. Mater. 24, 4905–4913 (2014). https://doi.org/10.1002/adfm.201400451CrossRef

10.

Grima, J.N., Attard, D., Caruana-Gauci, R., Gatt, R.: Negative linear compressibility of hexagonal honeycombs and related systems. Scr. Mater. 65, 565–568 (2011). https://doi.org/10.1016/j.scriptamat.2011.06.011CrossRef

11.

Wang, Q., Jackson, J.A., Ge, Q., Hopkins, J.B., Spadaccini, C.M., Fang, N.X.: Lightweight mechanical metamaterials with tunable negative thermal expansion. Phys. Rev. Lett. 117, 175901 (2016). https://doi.org/10.1103/PhysRevLett.117.175901CrossRef

12.

Zheng, X., Lee, H., Weisgraber, T.H., Shusteff, M., DeOtte, J., Duoss, E.B., Kuntz, J.D., Biener, M.M., Ge, Q., Jackson, J.A., Kucheyev, S.O., Fang, N.X., Spadaccini, C.M.: Ultralight, ultrastiff mechanical metamaterials. Science 344, 1373–1377 (2014). https://doi.org/10.1126/science.1252291CrossRef

13.

Karamooz Ravari, M.R., Kadkhodaei, M., Badrossamay, M., Rezaei, R.: Numerical investigation on mechanical properties of cellular lattice structures fabricated by fused deposition modeling. Int. J. Mech. Sci. 88, 154–161 (2014). https://doi.org/10.1016/j.ijmecsci.2014.08.009CrossRef

14.

“Cellular solids, structure and properties”—ProQuest, https://www.proquest.com/openview/e44edff91f06bc85bca43d4a69b34663/1?pq-origsite=gscholar&cbl=38062

15.

Maconachie, T., Leary, M., Lozanovski, B., Zhang, X., Qian, M., Faruque, O., Brandt, M.: SLM lattice structures: properties, performance, applications and challenges. Mater. Des. 183, 108137 (2019)CrossRef

16.

Alsalla, H., Hao, L., Smith, C.: Fracture toughness and tensile strength of 316L stainless steel cellular lattice structures manufactured using the selective laser melting technique. Mater. Sci. Eng. A 669, 1–6 (2016). https://doi.org/10.1016/j.msea.2016.05.075CrossRef

17.

Vrána, R., Koutný, D., Paloušek, D., Pantělejev, L., Jaroš, J., Zikmund, T., Kaiser, J.: Selective laser melting strategy for fabrication of thin struts usable in lattice structures. Materials 11, 1763 (2018). https://doi.org/10.3390/ma11091763CrossRef

18.

Bai, L., Zhang, J., Xiong, Y., Chen, X., Sun, Y., Gong, C., Pu, H., Wu, X., Luo, J.: Influence of unit cell pose on the mechanical properties of Ti6Al4V lattice structures manufactured by selective laser melting. Addit. Manuf. 34, 101222 (2020). https://doi.org/10.1016/j.addma.2020.101222CrossRef

19.

Bruna-Rosso, C., Mergheim, J., Previtali, B.: Finite element modeling of residual stress and geometrical error formations in selective laser melting of metals. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 235, 2022–2038 (2021). https://doi.org/10.1177/0954406220943225CrossRef

20.

Singh, S.N., Chowdhury, S., Nirsanametla, Y., Deepati, A.K., Prakash, C., Singh, S., Wu, L.Y., Zheng, H.Y., Pruncu, C.: A comparative analysis of laser additive manufacturing of high layer thickness pure Ti and inconel 718 alloy materials using finite element method. Materials 14, 1–19 (2021). https://doi.org/10.3390/ma14040876CrossRef

21.

Karimi, J., Suryanarayana, C., Okulov, I., Prashanth, K.G.: Selective laser melting of Ti6Al4V: effect of laser re-melting. Mater. Sci. Eng. A 805, 140558 (2021). https://doi.org/10.1016/j.msea.2020.140558CrossRef

22.

Alomar, Z., Concli, F.: Numerical modeling of selective laser melting lattice structures: a review of approaches. IOP Conf. Ser. Mater. Sci. Eng. 1038, 012002 (2021). https://doi.org/10.1088/1757-899x/1038/1/012002CrossRef

23.

Lozanovski, B., Leary, M., Tran, P., Shidid, D., Qian, M., Choong, P., Brandt, M.: Computational modelling of strut defects in SLM manufactured lattice structures. Mater. Des. 171, 107671 (2019). https://doi.org/10.1016/j.matdes.2019.107671CrossRef

24.

Concli, F., Gilioli, A.: Numerical and experimental assessment of the mechanical properties of 3D printed 18-Ni300 steel trabecular structures produced by Selective Laser Melting–a lean design approach. Virtual Phys. Prototyp. 14, 267–276 (2019). https://doi.org/10.1080/17452759.2019.1565596CrossRef

25.

Leary, M., Mazur, M., Williams, H., Yang, E., Alghamdi, A., Lozanovski, B., Zhang, X., Shidid, D., Farahbod-Sternahl, L., Witt, G., Kelbassa, I., Choong, P., Qian, M., Brandt, M.: Inconel 625 lattice structures manufactured by selective laser melting (SLM): mechanical properties, deformation and failure modes. Mater. Des. 157, 179–199 (2018). https://doi.org/10.1016/j.matdes.2018.06.010CrossRef

26.

Amani, Y., Dancette, S., Delroisse, P., Simar, A., Maire, E.: Compression behavior of lattice structures produced by selective laser melting: x-ray tomography based experimental and finite element approaches. Acta Mater. 159, 395–407 (2018). https://doi.org/10.1016/j.actamat.2018.08.030CrossRef

27.

Bültmann, J., Merkt, S., Hammer, C., Hinke, C., Prahl, U.: Scalability of the mechanical properties of selective laser melting produced micro-struts. J. Laser Appl. 27, S29206 (2015). https://doi.org/10.2351/1.4906392CrossRef

28.

Shen, F., Zhu, W., Zhou, K., Ke, L.L.: Modeling the temperature, crystallization, and residual stress for selective laser sintering of polymeric powder. Acta Mech. 232, 3635–3653 (2021). https://doi.org/10.1007/s00707-021-03020-6CrossRefMATH

29.

Kadirgama, K., Harun, W.S.W., Tarlochan, F., Samykano, M., Ramasamy, D., Azir, M.Z., Mehboob, H.: Statistical and optimize of lattice structures with selective laser melting (SLM) of Ti6AL4V material. Int. J. Adv. Manuf. Technol. 97, 495–510 (2018). https://doi.org/10.1007/s00170-018-1913-1CrossRef

30.

Labeas, G., Ptochos, E.: Homogenization of selective laser melting cellular material for impact performance simulation. Int. J. Struct. Integr. 6, 439–450 (2015). https://doi.org/10.1108/IJSI-10-2014-0059CrossRef

31.

Takano, N., Takizawa, H., Wen, P., Odaka, K., Matsunaga, S., Abe, S.: Stochastic prediction of apparent compressive stiffness of selective laser sintered lattice structure with geometrical imperfection and uncertainty in material property. Int. J. Mech. Sci. 134, 347–356 (2017). https://doi.org/10.1016/j.ijmecsci.2017.08.060CrossRef

32.

Wen, P., Takano, N., Kurita, D.: Probabilistic multiscale analysis of three-phase composite material considering uncertainties in both physical and geometrical parameters at microscale. Acta Mech. 227, 2735–2747 (2016). https://doi.org/10.1007/s00707-016-1640-3MathSciNetCrossRefMATH

33.

Noll, I., Bartel, T., Menzel, A.: A computational phase transformation model for selective laser melting processes. Comput. Mech. 66, 1321–1342 (2020). https://doi.org/10.1007/s00466-020-01903-4MathSciNetCrossRefMATH

34.

Krzyzanowski, M., Svyetlichnyy, D.: A multiphysics simulation approach to selective laser melting modelling based on cellular automata and lattice Boltzmann methods. Comput. Part. Mech. (2021). https://doi.org/10.1007/s40571-021-00397-yCrossRef

35.

Wolf-Gladrow, D.A.: Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction. Google Books

36.

Deng, J., Li, X., Liu, Z., Wang, Z., Li, S.: Compression behavior of FCC- and BCB-architected materials: theoretical and numerical analysis. Acta Mech. 232, 4133–4150 (2021). https://doi.org/10.1007/s00707-021-02953-2CrossRefMATH

37.

Biswas, P., Guessasma, S., Li, J.: Numerical prediction of orthotropic elastic properties of 3D-printed materials using micro-CT and representative volume element. Acta Mech. 231, 503–516 (2020). https://doi.org/10.1007/s00707-019-02544-2CrossRef

38.

Introduction to Finite Elements in Engineering. American Library Association (1991)

39.

Ashby, M.F.: Materials Selection in Mechanical Design. Butterworth Heinemann, Oxford (1999)

40.

Lai, W.M., Rubin, D.H., Krempl, E.: Introduction to Continuum Mechanics. Google Books

41.

Lv, Y., Wang, B., Liu, G., Tang, Y., Lu, E., Xie, K., Lan, C., Liu, J., Qin, Z., Wang, L.: Metal material, properties and design methods of porous biomedical scaffolds for additive manufacturing: a review. Front. Bioeng. Biotechnol. 9, 641130 (2021)CrossRef

Titel: Analysis and optimization of strut-based lattice structures by simplified finite element method
verfasst von: M. R. Kamranfard
H. Darijani
H. Rokhgireh
S. Khademzadeh
Publikationsdatum: 29.12.2022
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 4/2023
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-022-03443-9

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