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The effect of fillets and crossbars on mechanical properties of lattice structures fabricated using additive manufacturing

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Abstract

The mechanical properties of lattice structure are affected by the properties of the parent material, the relative density, and the topology of the unit cell. In many applications, the goal is to have a lightweight and stiff structure. Increase in stiffness can be achieved by increasing relative density but this also increases the mass. The second method to enhance the mechanical properties is by tailoring the topology of the unit cell. This method has an advantage over the previous method as it results in an increase in stiffness without any increase in mass of the structure. Periodic lattice structures can be designed for multiple constraints such as optimization of stiffness and energy absorption. Presence of sharp corners and edges causes stress concentrations which lead to lower energy absorption efficiency. This can be rectified by adding fillets. In this paper, two methods are shown to increase the stiffness and the specific energy absorption efficiency of the lattice structures without increasing the mass or relative density. Improvement in mechanical properties can be achieved by addition of fillets at the edges and by placing beams parallel to the loading direction. These improvements were applied to two lattice structures: Kelvin and Octet truss. Multi-jet fusion additive manufacturing was used to fabricate the samples for performing uniaxial compression testing. The results show a marked improvement in stiffness and energy absorption efficiency in the structures which incorporate fillets and vertical beams in the unit cells. Stiffness of Kelvin was improved by 32% by adding fillets and 70% by adding crossbars. The energy absorption efficiency was increased by 50% in Kelvin by adding fillets. Furthermore, the post-yield behavior and failure mechanism were also changed due to the addition of these elements.

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References

  1. Gibson LJ, Ashby MF (1997) Cellular solids: structure and properties, 2d ed, second. Cambridge University Press, Cambridge

    Book  Google Scholar 

  2. Plocher J, Panesar A (2020) Effect of density and unit cell size grading on the stiffness and energy absorption of short fibre-reinforced functionally graded lattice structures. Addit Manuf. https://doi.org/10.1016/j.addma.2020.101171

  3. Du Y, Li H, Luo Z, Tian Q (2017) Topological design optimization of lattice structures to maximize shear stiffness. Adv Eng Softw. https://doi.org/10.1016/j.advengsoft.2017.04.011

  4. Zheng X, Lee H, Weisgraber TH et al (2014) Ultralight, ultrastiff mechanical metamaterials. Science 80(344):1373–1377. https://doi.org/10.1126/science.1252291

    Article  Google Scholar 

  5. Nazir A, Abate KM, Kumar A, Jeng JY (2019) A state-of-the-art review on types, design, optimization, and additive manufacturing of cellular structures. Int J Adv Manuf Technol 104:3489–3510. https://doi.org/10.1007/s00170-019-04085-3

    Article  Google Scholar 

  6. Duoss EB, Weisgraber TH, Hearon K et al (2014) Three-dimensional printing of elastomeric, cellular architectures with negative stiffness. Adv Funct Mater 24:4905–4913. https://doi.org/10.1002/adfm.201400451

    Article  Google Scholar 

  7. Habib FN, Iovenitti P, Masood SH, Nikzad M (2018) Fabrication of polymeric lattice structures for optimum energy absorption using multi jet fusion technology. Mater Des 155:86–98. https://doi.org/10.1016/j.matdes.2018.05.059

    Article  Google Scholar 

  8. Nazir A, Bin AA, Jeng JY (2019) Buckling and post-buckling behavior of uniform and variable-density lattice columns fabricated using additive manufacturing. Materials (Basel) 12. https://doi.org/10.3390/ma12213539

  9. Dong L, Deshpande V, Wadley H (2015) Mechanical response of Ti-6Al-4V octet-truss lattice structures. Int J Solids Struct. https://doi.org/10.1016/j.ijsolstr.2015.02.020

  10. Ling C, Cernicchi A, Gilchrist MD, Cardiff P (2019) Mechanical behaviour of additively-manufactured polymeric octet-truss lattice structures under quasi-static and dynamic compressive loading. Mater Des 162:106–118. https://doi.org/10.1016/j.matdes.2018.11.035

    Article  Google Scholar 

  11. Jang WY, Kyriakides S, Kraynik AM (2010) On the compressive strength of open-cell metal foams with kelvin and random cell structures. Int J Solids Struct. https://doi.org/10.1016/j.ijsolstr.2010.06.014

  12. Gong L, Kyriakides S, Jang WY (2005) Compressive response of open-cell foams. Part I: morphology and elastic properties. Int J Solids Struct 42:1355–1379. https://doi.org/10.1016/j.ijsolstr.2004.07.023

    Article  MATH  Google Scholar 

  13. Deshpande VS, Fleck NA, Ashby MF (2001) Effective properties of the octet-truss lattice material. J Mech Phys Solids 49:1747–1769. https://doi.org/10.1016/S0022-5096(01)00010-2

    Article  MATH  Google Scholar 

  14. Rinaldi RG, Bernal-Ostos J, Hammetter CI et al (2012) Effects of material heterogeneities on the compressive response of thiol-ene pyramidal lattices. J Mater Sci 47:6621–6632. https://doi.org/10.1007/s10853-012-6598-5

    Article  Google Scholar 

  15. Hammetter CI, Rinaldi RG, Zok FW (2013) Pyramidal lattice structures for high strength and energy absorption. J Appl Mech Trans ASME 80. https://doi.org/10.1115/1.4007865

  16. Gümrük R, Mines RAW (2013) Compressive behaviour of stainless steel micro-lattice structures. Int J Mech Sci 68:125–139. https://doi.org/10.1016/j.ijmecsci.2013.01.006

    Article  Google Scholar 

  17. Latture RM, Rodriguez RX, Holmes LR, Zok FW (2018) Effects of nodal fillets and external boundaries on compressive response of an octet truss. Acta Mater 149:78–87. https://doi.org/10.1016/j.actamat.2017.12.060

    Article  Google Scholar 

  18. Wadley HNG, Dharmasena KP, He MY et al (2010) An active concept for limiting injuries caused by air blasts. Int J Impact Eng 37:317–323. https://doi.org/10.1016/j.ijimpeng.2009.06.006

    Article  Google Scholar 

  19. Evans AG, Hutchinson JW, Fleck NA et al (2001) The topological design of multifunctional cellular metals. Prog Mater Sci 46:309–327

    Article  Google Scholar 

  20. Evans AG, He MY, Deshpande VS et al (2010) Concepts for enhanced energy absorption using hollow micro-lattices. Int J Impact Eng 37:947–959. https://doi.org/10.1016/j.ijimpeng.2010.03.007

    Article  Google Scholar 

  21. Wadley HNG (2002) Cellular metals manufacturing. Adv Eng Mater 4:726–733. https://doi.org/10.1002/1527-2648(20021014)4:10<726::AID-ADEM726>3.0.CO;2-Y

    Article  Google Scholar 

  22. Tancogne-Dejean T, Spierings AB, Mohr D (2016) Additively-manufactured metallic micro-lattice materials for high specific energy absorption under static and dynamic loading. Acta Mater 116:14–28. https://doi.org/10.1016/j.actamat.2016.05.054

    Article  Google Scholar 

  23. Mohsenizadeh M, Gasbarri F, Munther M et al (2018) Additively-manufactured lightweight metamaterials for energy absorption. Mater Des 139:521–530. https://doi.org/10.1016/j.matdes.2017.11.037

    Article  Google Scholar 

  24. Song J, Zhou W, Wang Y et al (2019) Octet-truss cellular materials for improved mechanical properties and specific energy absorption. Mater Des 173. https://doi.org/10.1016/j.matdes.2019.107773

  25. Naboni R, Breseghello L, Kunic A (2019) Multi-scale design and fabrication of the trabeculae pavilion. Addit Manuf 27. https://doi.org/10.1016/j.addma.2019.03.005

  26. Naboni R, Paoletti I (2018) Architectural morphogenesis through topology optimization. Handbook of research on form and morphogenesis in modern architectural contexts

  27. Naboni R, Kunic A, Breseghello L, Paoletti I (2017) Load-responsive cellular envelopes with additive manufacturing. Journal of Facade Design and Engineering

  28. Qi D, Yu H, Liu M et al (2019) Mechanical behaviors of SLM additive manufactured octet-truss and truncated-octahedron lattice structures with uniform and taper beams. Int J Mech Sci 163. https://doi.org/10.1016/j.ijmecsci.2019.105091

  29. Zargarian A, Esfahanian M, Kadkhodapour J, Ziaei-Rad S (2014) Effect of solid distribution on elastic properties of open-cell cellular solids using numerical and experimental methods. J Mech Behav Biomed Mater 37:264–273. https://doi.org/10.1016/j.jmbbm.2014.05.018

    Article  Google Scholar 

  30. Duan Y, Du B, Shi X et al (2019) Quasi-static and dynamic compressive properties and deformation mechanisms of 3D printed polymeric cellular structures with kelvin cells. Int J Impact Eng 132:103303. https://doi.org/10.1016/j.ijimpeng.2019.05.017

    Article  Google Scholar 

  31. Jiang J, Xu X, Stringer J (2019) Optimisation of multi-part production in additive manufacturing for reducing support waste. Virtual Phys Prototyp 14:219–228. https://doi.org/10.1080/17452759.2019.1585555

    Article  Google Scholar 

  32. Jiang J, Ma Y (2020) Path planning strategies to optimize accuracy, quality, build time and material use in additive manufacturing: a review. Micromachines 11:633. https://doi.org/10.3390/mi11070633

    Article  Google Scholar 

  33. Gibson I, Rosen DW, Stucker B (2010) Additive manufacturing technologies: rapid prototyping to c. Springer, US

    Book  Google Scholar 

  34. Nazir A, Jeng JY (2019) A high-speed additive manufacturing approach for achieving high printing speed and accuracy. Proc Inst Mech Eng Part C J Mech Eng Sci. https://doi.org/10.1177/0954406219861664

  35. Ashby MF (2006) The properties of foams and lattices. Philos Trans R Soc A Math Phys Eng Sci 364:15–30. https://doi.org/10.1098/rsta.2005.1678

    Article  MathSciNet  Google Scholar 

  36. McCaw JCS, Cuan-Urquizo E (2018) Curved-layered additive manufacturing of non-planar, parametric lattice structures. Mater Des. https://doi.org/10.1016/j.matdes.2018.10.024

  37. Zhang XZ, Leary M, Tang HP et al (2018) Selective electron beam manufactured Ti-6Al-4V lattice structures for orthopedic implant applications: current status and outstanding challenges. Curr Opin Solid State Mater Sci

  38. Bauer J, Meza LR, Schaedler TA et al (2017) Nanolattices: an emerging class of mechanical metamaterials. Adv Mater 29. https://doi.org/10.1002/adma.201701850

  39. Buj-Corral I, Bagheri A, Domínguez-Fernández A, Casado-López R (2019) Influence of infill and nozzle diameter on porosity of FDM printed parts with rectilinear grid pattern. Procedia Manufacturing pp 288–295

    Google Scholar 

  40. Liu W, Song H, Wang Z et al (2019) Improving mechanical performance of fused deposition modeling lattice structures by a snap-fitting method. Mater Des. https://doi.org/10.1016/j.matdes.2019.108065

  41. Leary M, Mazur M, Elambasseril J et al (2016) Selective laser melting (SLM) of AlSi12Mg lattice structures. Mater Des 98:344–357. https://doi.org/10.1016/j.matdes.2016.02.127

    Article  Google Scholar 

  42. Qiu C, Yue S, Adkins NJE et al (2015) Influence of processing conditions on strut structure and compressive properties of cellular lattice structures fabricated by selective laser melting. Mater Sci Eng A 628:188–197. https://doi.org/10.1016/j.msea.2015.01.031

    Article  Google Scholar 

  43. Jenkins SNM, Oulton TH, Hernandez-Nava E et al (2019) Anisotropy in the mechanical behavior of Ti6Al4V electron beam melted lattices. Mech Res Commun 100:103400. https://doi.org/10.1016/j.mechrescom.2019.103400

    Article  Google Scholar 

  44. Goodall R, Hernandez-Nava E, Jenkins SNM et al (2019) The effects of defects and damage in the mechanical behavior of ti6al4v lattices. Front Mater. https://doi.org/10.3389/fmats.2019.00117

  45. Vaissier B, Pernot JP, Chougrani L, Véron P (2019) Genetic-algorithm based framework for lattice support structure optimization in additive manufacturing. CAD Comput Aided Des. https://doi.org/10.1016/j.cad.2018.12.007

  46. Markandan K, Lai CQ (2020) Enhanced mechanical properties of 3D printed graphene-polymer composite lattices at very low graphene concentrations. Compos Part A Appl Sci Manuf. https://doi.org/10.1016/j.compositesa.2019.105726

  47. Tan C, Li S, Essa K et al (2019) Laser powder bed fusion of Ti-rich TiNi lattice structures: process optimisation, geometrical integrity, and phase transformations. Int J Mach Tools Manuf. https://doi.org/10.1016/j.ijmachtools.2019.04.002

  48. Cutolo A, Engelen B, Desmet W, Van Hooreweder B (2020) Mechanical properties of diamond lattice Ti–6Al–4V structures produced by laser powder bed fusion: on the effect of the load direction. J Mech Behav Biomed Mater. https://doi.org/10.1016/j.jmbbm.2020.103656

  49. Nazir A, Jeng JY (2020) Buckling behavior of additively manufactured cellular columns: experimental and simulation validation. Mater Des 186. https://doi.org/10.1016/j.matdes.2019.108349

  50. Jiang J, Xu X, Stringer J (2018) Support structures for additive manufacturing: a review. J Manuf Mater Process 2. https://doi.org/10.3390/jmmp2040064

  51. Li QM, Magkiriadis I, Harrigan JJ (2006) Compressive strain at the onset of densification of cellular solids. J Cell Plast 42:371–392. https://doi.org/10.1177/0021955X06063519

    Article  Google Scholar 

  52. Avalle M, Belingardi G, Montanini R (2001) Characterization of polymeric structural foams under compressive impact loading by means of energy-absorption diagram. Int J Impact Eng 25:455–472. https://doi.org/10.1016/S0734-743X(00)00060-9

    Article  Google Scholar 

  53. Latture RM, Begley MR, Zok FW (2018) Design and mechanical properties of elastically isotropic trusses. J Mater Res 33:249–263. https://doi.org/10.1557/jmr.2018.2

    Article  Google Scholar 

  54. Tang X, Prakash V, Lewandowski JJ et al (2007) Inertial stabilization of buckling at high rates of loading and low test temperatures: implications for dynamic crush resistance of aluminum-alloy-based sandwich plates with lattice core. Acta Mater 55:2829–2840. https://doi.org/10.1016/j.actamat.2006.12.037

    Article  Google Scholar 

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Funding

This work was financially supported by the High-Speed 3D Printing Research Center (Grant No. 108P012) from the Featured Areas Research Center Program within the framework of the Higher Education Sprout Project by the Minister of Education (MOE) Taiwan.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei, 10607, Taiwan, Republic of China

    Ahmad Bin Arshad, Aamer Nazir & Jeng-Ywan Jeng

  2. High Speed 3D Printing Research Center, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei, 106, Taiwan, Republic of China

    Ahmad Bin Arshad, Aamer Nazir & Jeng-Ywan Jeng

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  1. Ahmad Bin Arshad
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Correspondence to Aamer Nazir or Jeng-Ywan Jeng.

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Arshad, A.B., Nazir, A. & Jeng, JY. The effect of fillets and crossbars on mechanical properties of lattice structures fabricated using additive manufacturing. Int J Adv Manuf Technol 111, 931–943 (2020). https://doi.org/10.1007/s00170-020-06034-x

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