Abstract
With increasing demand for lightweight components in many industries, components must be optimized to save as much weight as possible. One of the main optimization tools employed by designers is topology optimization as it identifies the critical load paths within components. An even more powerful tool is multi-material topology optimization (MMTO) due to it also optimizing material selection in a component. By incorporating material selection into the optimization, new material options can be included to further improve upon the objective. The major drawback of MMTO is that the designs produced are often not manufacturable. Traditionally, these results would be interpreted by designers and modified to produce a manufacturable design. To reduce the amount of changes to the optimal design and simplify the design process, constraints can be made to tailor the optimization result to a chosen manufacturing method. This paper focuses on continuous fiber reinforced polymer additive manufacturing (CFRPAM). Being an additive manufacturing process, CFRPAM is able to realize the complex geometry often seen in topology optimization with little intervention while the continuous fiber reinforcement allows the process to produce high strength components. The research presented in this paper adapts a material model of the continuous fiber reinforced polymer and constrains the optimizer to solutions readily manufacturable with CFRPAM. The resulting methodology achieves simultaneous layered fiber orientation optimization and topology optimization. The method is shown to reduce compliance by up to 22.1% compared to the current industry standard.
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Abbreviations
- TO:
-
Topology optimization
- FEA:
-
Finite element analysis
- MMTO:
-
Multi-material topology optimization
- AM:
-
Additive manufacturing
- FDM:
-
Fused deposition modeling
- CFRPAM:
-
Continuous fiber reinforced polymer additive manufacturing
References
Canada Energy Regulator. Market Snapshot: Vehicle emissions standards will reduce gasoline use. 18 July 2018. [Online]. Available: https://www.cer-rec.gc.ca/en/data-analysis/energy-markets/market-snapshots/2018/market-snapshot-vehicle-emissions-standards-will-reduce-gasoline-use.html. Accessed 26 Oct 2021
Government of Canada. Passenger Automobile and Light Truck Greenhouse Gas Emission Regulations. 7 October 2021. [Online]. Available: https://laws-lois.justice.gc.ca/eng/regulations/SOR-2010-201/index.html. Accessed 26 Oct 2021
Environment and Climate Change Canada. Government of Canada review of fuel efficiency standards confirms the economic and environmental benefits of ambitious action. 12 February 2021. [Online]. Available: https://www.canada.ca/en/environment-climate-change/news/2021/02/government-of-canada-review-of-fuel-efficiency-standards-confirms-the-economic-and-environmental-benefits-of-ambitious-action.html. Accessed 26 Oct 2021
Cheah L, Evans C, Bandivadekar A, Heywood J (2007) Factor of two: halving the fuel consumption of new US Automobiles by 2035. Laboratory for Energy and Environment Massachusetts Institute of Technology, Cambridge
Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct Mach 25(4):493–524
Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224
Thomsen J (1992) Topology optimization of structures composed of one or two materials. Struct Optim 5(1–2):108–115
Sigmund O, Torquato S (1997) Design of materials with extreme thermal expansion using a three-phase topology optimization method. J Mech Phys Solids 45(6):1037–1067
Li D, Kim IY (2018) Multi-material topology optimization for practical lightweight design. Struct Multidiscip Optim 58(3):1081–1094
Li D, Kim IY (2020) Modified element stacking method for multi-material topology optimization with anisotropic materials. Struct Multidiscip Optim 61(2):525–541
Fidan I, Imeri A, Gupta A, Hasanov S, Nasirov A, Elliott A, Alifui-Segbaya F, Nanami N (2019) The trends and challenges of fiber reinforced additive manufacturing. Int J Adv Manuf Technol 102(5–8):1801–1818
Compton BG, Lewis JA (2014) 3D-printing of lightweight cellular composites. Adv Mater 26(34):5930–5935
Markforged. Material Datasheet Composites. 1 August 2021. [Online]. Available: https://static.markforged.com/downloads/composites-data-sheet.pdf. Accessed 7 Jul 2022
Sauer M (2018) Evaluation of the mechanical properties of 3D printed carbon fiber composites. South Dakota State University, Brookings
Blok L, Longana M, Yu H, Woods B (2018) An investigation into 3D printing of fibre reinforced thermoplastic. Addit Manuf 22:176–186
Sanei SH, Arndt A, Doles R (2020) Open hole tensile testing of 3D printed continuous carbon fiber reinforced composites. J Compos Mater 54(20):2687–2695
Shakor P, Nejadi S, Paul G, Sanjayan J (2020) Dimensional accuracy, flowability, wettability, and porosity in inkjet 3DP for gypsum and cement mortar materials. Autom Constr 110(102964):1–19
Shakor P, Nejadi S, Paul G, Gowripalan N (2021) Effects of different orientation angle, size, surface roughness, and heat curing on mechanical behavior of 3D printed cement mortar with/without glass fiber in powder-based 3DP. 3D Print Addit Manuf. https://doi.org/10.1089/3dp.2021.0067
Roper S, Lee H, Huh M, Kim IY (2021) Simultaneous isotropic and anisotropic multi-material topology optimization for conceptual-level design of aerospace components. Struct Multidiscip Optim 64(1):441–456
Duvaut G, Terrel G, Léné F, Verijenko V (2000) Optimization of fiber reinforced composites. Compos Struct 48(1):83–89
Huang J, Haftka R (2005) Optimization of fiber orientations near a hole for increased load-carrying capacity of composite laminates. Struct Multidiscip Optim 30(5):335–341
Stegmann J, Lund E (2005) Discrete material optimization of general composite shell structures. Int J Numer Meth Eng 62(14):2009–2027
Kim J, Kang BS (2020) Enhancing structural performance of short fiber reinforced objects through customized tool-path. Appl Sci 10(22):8168–8186
Fernandez F, Compel WS, Lewicki JP, Tortorelli DA (2019) Optimal design of fiber reinforced composite structures and their direct ink write fabrication. Comput Methods Appl Mech Eng 353:277–307
Fernandez F, Lewicki JP, Tortorelli DA (2021) Optimal toolpath design of additive manufactured composite cylindrical structures. Comput Methods Appl Mech Eng 376:113673–113696
Fernandez F, Barker AT, Kudo J, Lewicki JP, Swartz K, Tortorelli DA, Watts S, White DA, Wong J (2020) Simultaneous material, shape and topology optimization. Comput Methods Appl Mech Eng 371(1):113321–113346
Yamanaka Y, Todoroki A, Ueda M, Hirano Y, Matsuzaki R (2016) Fiber line optimization in single ply for 3D printed composites. Open J Compos Mater 6(4):121–131
Liu J, Yu H (2017) Concurrent deposition path planning and structural topology optimization for additive manufacturing. Rapid Prototyp J 23(5):930–942
Setoodeh S, Abdalla M, Gürdal Z (2005) Combined topology and fiber path design of composite layers using cellular automata. Struct Multidiscip Optim 30(6):413–421
Jiang D, Hoglund R, Smith DE (2019) Continuous fiber angle topology optimization for polymer composite deposition additive manufacturing applications. Fibers 7(2):14–34
Shah V, Kashanian K et al (2020) Multi-material topology optimization considering manufacturing constraints. SAE International, Detroit
Shah V, Kashanian K et al (2021) Multi-material topology optimization considering draw direction constraints. SAE International, Detroit
Li C, Kim IY (2018) Multi-material topology optimization for automotive design problems. Proc Inst Mech Eng, Part D: J Autom Eng 232(14):1950–1969
Kashanian K, Shah V, Pamwar M, Sangha B, Kim IY (2020) Motorcycle chassis design utilizing multi-material topology optimization. SAE International, Detroit
Forward C, Shah V, Kashanian K et al (2021) Control Arm design utilizing multi-material topology optimization. SAE International, Detroit
Rosato DV, Rosato DV (2003) Design parameter. Plastics engineered product design. Elsevier Advanced Technology, Oxford, pp 161–197
Hexcel. HexTow continuous carbon fiber. 2020. [Online]. Available: https://www.hexcel.com/Products/Carbon-Fiber/HexTow-Continuous-Carbon-Fiber. Accessed 8 Jul 2022
Herráez M, Fernández A, Lopes CS, González C (2016) Strength and toughness of structural fibres for composite material reinforcement. Philos Trans R Soc Lond Ser A: Math, Phys, Eng Sci 374(2071):1–11
Alger M (1997) Polymer science dictionary, 2nd edn. Chapman & Hall, London
Melenka GW, Cheung BK, Schofield JS, Dawson MR, Carey JP (2016) Evaluation and prediction of the tensile properties of continuous fiber-reinforced 3D printed structures. Compos Struct 153:866–875
Patanwala HS, Hong D, Vora SR, Bognet B, Ma AWK (2018) The microstructure and mechanical properties of 3D printed carbon nanotube-polylactic acid composites. Polym Compos 39(S2):E1060–E1071
Bower AF (2010) Constitutive models: relations between stress and strain. Applied mechanics of solids. CRC Press, Boca Raton, pp 65–192
Ray N, Kim IY (2021) Intergrated design optimization scheme for fiber reinforced additive manufacturing. Canadian Aeronautics and Space Institute AERO, Kanata
Markforged. Design Guide for 3D Printing with Composites. 2020. [Online]. Available: https://3d.markforged.com/white-paper-composite-design-guide.html. Accessed 13 Jul 2022
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Forward, C., Kim, I.Y. Layered fiber orientation optimization for continuous fiber reinforced polymer additive manufacturing using multi-material topology optimization. Prog Addit Manuf 8, 1665–1676 (2023). https://doi.org/10.1007/s40964-023-00434-7
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DOI: https://doi.org/10.1007/s40964-023-00434-7