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Erschienen in: Structural and Multidisciplinary Optimization 1/2023

01.01.2023 | Research Paper

Simultaneous optimization of part and support for heat dissipation in additive manufacturing

verfasst von: Cunfu Wang, Xiaoping Qian

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2023

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Abstract

The paper presents a formulation for simultaneous optimization of part and support in additive manufacturing. A pseudo heat conduction problem is solved to simulate heat transfer between the part and support. In the pseudo problem, a surface slope-dependent heat flux is applied on the part/support interfaces. The input heat is then transferred through the part and support to the build plate, which is treated as the heat sink. Since the density-based topology optimization does not involve explicit surface representation, the heat flux is implicitly imposed through a domain integration of a Heaviside projected density gradient. The proposed formulation has the inherent ability to control surface slope, which allows us to obtain self-supported enclosed voids and put removable external supports only on the open surfaces. Self-supporting supports can also be obtained by controlling the anisotropic thermal conductivity of the supports. Three different objective functions related to heat dissipation efficiency of the support are investigated. Both 2D and 3D numerical examples are presented to demonstrate the validity and efficiency of the proposed approach.

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Literatur
Zurück zum Zitat Allaire G, Bogosel B (2018) Optimizing supports for additive manufacturing. Struct Multidisc Optim 58(6):2493–2515 Allaire G, Bogosel B (2018) Optimizing supports for additive manufacturing. Struct Multidisc Optim 58(6):2493–2515
Zurück zum Zitat Allaire G, Dapogny C, Estevez R, Faure A, Michailidis G (2017) Structural optimization under overhang constraints imposed by additive manufacturing technologies. J Comput Phys 351:295–328MATH Allaire G, Dapogny C, Estevez R, Faure A, Michailidis G (2017) Structural optimization under overhang constraints imposed by additive manufacturing technologies. J Comput Phys 351:295–328MATH
Zurück zum Zitat Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):192–202 Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):192–202
Zurück zum Zitat Bendsøe MP, Sigmund O (2003) Topology optimization—theory, methods and applications, 2nd edn. Springer, BerlinMATH Bendsøe MP, Sigmund O (2003) Topology optimization—theory, methods and applications, 2nd edn. Springer, BerlinMATH
Zurück zum Zitat Cheng L, Liang X, Bai J, Chen Q, Lemon J, To A (2019) On utilizing topology optimization to design support structure to prevent residual stress induced build failure in laser powder bed metal additive manufacturing. Addit Manuf 27:290–304 Cheng L, Liang X, Bai J, Chen Q, Lemon J, To A (2019) On utilizing topology optimization to design support structure to prevent residual stress induced build failure in laser powder bed metal additive manufacturing. Addit Manuf 27:290–304
Zurück zum Zitat Clausen A, Aage N, Sigmund O (2015) Topology optimization of coated structures and material interface problems. Comput Methods Appl Mech Eng 290:524–541MATH Clausen A, Aage N, Sigmund O (2015) Topology optimization of coated structures and material interface problems. Comput Methods Appl Mech Eng 290:524–541MATH
Zurück zum Zitat Clausen A, Aage N, Sigmund O (2016) Exploiting additive manufacturing infill in topology optimization for improved buckling load. Engineering 2(2):250–257 Clausen A, Aage N, Sigmund O (2016) Exploiting additive manufacturing infill in topology optimization for improved buckling load. Engineering 2(2):250–257
Zurück zum Zitat Clausen A, Andreassen E, Sigmund O (2017) Topology optimization of 3D shell structures with porous infill. Acta Mech Sin 33:1–14MATH Clausen A, Andreassen E, Sigmund O (2017) Topology optimization of 3D shell structures with porous infill. Acta Mech Sin 33:1–14MATH
Zurück zum Zitat Gaynor AT, Guest JK (2016) Topology optimization considering overhang constraints: eliminating sacrificial support material in additive manufacturing through design. Struct Multidisc Optim 54(5):1157–1172 Gaynor AT, Guest JK (2016) Topology optimization considering overhang constraints: eliminating sacrificial support material in additive manufacturing through design. Struct Multidisc Optim 54(5):1157–1172
Zurück zum Zitat Gaynor AT, Meisel NA, Williams CB, Guest JK (2014) Topology optimization for additive manufacturing: considering maximum overhang constraint. In: 15th AIAA/ISSMO multidisciplinary analysis and optimization conference, p 2036 Gaynor AT, Meisel NA, Williams CB, Guest JK (2014) Topology optimization for additive manufacturing: considering maximum overhang constraint. In: 15th AIAA/ISSMO multidisciplinary analysis and optimization conference, p 2036
Zurück zum Zitat Gibson I, Rosen D, Stucker B (2014) Additive manufacturing technologies: 3D printing, rapid prototyping, and direct digital manufacturing. Springer, New York Gibson I, Rosen D, Stucker B (2014) Additive manufacturing technologies: 3D printing, rapid prototyping, and direct digital manufacturing. Springer, New York
Zurück zum Zitat Guo X, Zhou J, Zhang W, Du Z, Liu C, Liu Y (2017) Self-supporting structure design in additive manufacturing through explicit topology optimization. Comput Methods Appl Mech Eng 323:27–63MATH Guo X, Zhou J, Zhang W, Du Z, Liu C, Liu Y (2017) Self-supporting structure design in additive manufacturing through explicit topology optimization. Comput Methods Appl Mech Eng 323:27–63MATH
Zurück zum Zitat Haber RB, Jog CS, Bendsøe MP (1996) A new approach to variable-topology shape design using a constraint on perimeter. Struct Optim 11(1–2):1–12 Haber RB, Jog CS, Bendsøe MP (1996) A new approach to variable-topology shape design using a constraint on perimeter. Struct Optim 11(1–2):1–12
Zurück zum Zitat Jiang J, Xu X, Stringer J (2018) Support structures for additive manufacturing: a review. J Manuf Mater Process 2(4):64 Jiang J, Xu X, Stringer J (2018) Support structures for additive manufacturing: a review. J Manuf Mater Process 2(4):64
Zurück zum Zitat Keller N, Ploshikhin V (2014) New method for fast predictions of residual stress and distortion of AM parts. In: Solid freeform fabrication symposium, 2014, vol 25 Keller N, Ploshikhin V (2014) New method for fast predictions of residual stress and distortion of AM parts. In: Solid freeform fabrication symposium, 2014, vol 25
Zurück zum Zitat Kuo Y-H, Cheng C-C, Lin Y-S, San C-H (2018) Support structure design in additive manufacturing based on topology optimization. Struct Multidisc Optim 57(1):183–195 Kuo Y-H, Cheng C-C, Lin Y-S, San C-H (2018) Support structure design in additive manufacturing based on topology optimization. Struct Multidisc Optim 57(1):183–195
Zurück zum Zitat Langelaar M (2016a) An additive manufacturing filter for topology optimization of print-ready designs. Struct Multidisc Optim 55:1–13 Langelaar M (2016a) An additive manufacturing filter for topology optimization of print-ready designs. Struct Multidisc Optim 55:1–13
Zurück zum Zitat Langelaar M (2016b) Topology optimization of 3D self-supporting structures for additive manufacturing. Addit Manuf 12:60–70 Langelaar M (2016b) Topology optimization of 3D self-supporting structures for additive manufacturing. Addit Manuf 12:60–70
Zurück zum Zitat Langelaar M (2018) Combined optimization of part topology, support structure layout and build orientation for additive manufacturing. Struct Multidisc Optim 57(5):1985–2004 Langelaar M (2018) Combined optimization of part topology, support structure layout and build orientation for additive manufacturing. Struct Multidisc Optim 57(5):1985–2004
Zurück zum Zitat Lazarov BS, Sigmund O (2011) Filters in topology optimization based on Helmholtz-type differential equations. Int J Numer Methods Eng 86(6):765–781MATH Lazarov BS, Sigmund O (2011) Filters in topology optimization based on Helmholtz-type differential equations. Int J Numer Methods Eng 86(6):765–781MATH
Zurück zum Zitat Lazarov BS, Alexandersen J, Sigmund O (2014) Topology optimized designs of steady state conduction heat transfer problems with convection boundary conditions. In: EngOpt, 2014 Lazarov BS, Alexandersen J, Sigmund O (2014) Topology optimized designs of steady state conduction heat transfer problems with convection boundary conditions. In: EngOpt, 2014
Zurück zum Zitat Liang X, Cheng L, Chen Q, Yang Q, To AC (2018) A modified method for estimating inherent strains from detailed process simulation for fast residual distortion prediction of single-walled structures fabricated by directed energy deposition. Addit Manuf 23:471–486 Liang X, Cheng L, Chen Q, Yang Q, To AC (2018) A modified method for estimating inherent strains from detailed process simulation for fast residual distortion prediction of single-walled structures fabricated by directed energy deposition. Addit Manuf 23:471–486
Zurück zum Zitat Liu S, Li Q, Chen W, Tong L, Cheng G (2015) An identification method for enclosed voids restriction in manufacturability design for additive manufacturing structures. Front Mech Eng 10(2):126–137 Liu S, Li Q, Chen W, Tong L, Cheng G (2015) An identification method for enclosed voids restriction in manufacturability design for additive manufacturing structures. Front Mech Eng 10(2):126–137
Zurück zum Zitat Logg A, Mardal K-A, Wells G (2012) Automated solution of differential equations by the finite element method: the FEniCS book, vol 84. Springer, BerlinMATH Logg A, Mardal K-A, Wells G (2012) Automated solution of differential equations by the finite element method: the FEniCS book, vol 84. Springer, BerlinMATH
Zurück zum Zitat Luo Y, Sigmund O, Li Q, Liu S (2020) Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids. Comput Methods Appl Mech Eng 372:113385MATH Luo Y, Sigmund O, Li Q, Liu S (2020) Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids. Comput Methods Appl Mech Eng 372:113385MATH
Zurück zum Zitat Mezzadri F, Qian X (2020) A second-order measure of boundary oscillations for overhang control in topology optimization. J Comput Phys 410:109365MATH Mezzadri F, Qian X (2020) A second-order measure of boundary oscillations for overhang control in topology optimization. J Comput Phys 410:109365MATH
Zurück zum Zitat Mezzadri F, Bouriakov V, Qian X (2018) Topology optimization of self-supporting support structures for additive manufacturing. Addit Manuf 21:666–682 Mezzadri F, Bouriakov V, Qian X (2018) Topology optimization of self-supporting support structures for additive manufacturing. Addit Manuf 21:666–682
Zurück zum Zitat Mirzendehdel AM, Suresh K (2016) Support structure constrained topology optimization for additive manufacturing. Comput Aided Des 81:1–13 Mirzendehdel AM, Suresh K (2016) Support structure constrained topology optimization for additive manufacturing. Comput Aided Des 81:1–13
Zurück zum Zitat Morgan HD, Cherry JA, Jonnalagadda S, Ewing D, Sienz J (2016) Part orientation optimisation for the additive layer manufacture of metal components. Int J Adv Manuf Technol 86(5–8):1679–1687 Morgan HD, Cherry JA, Jonnalagadda S, Ewing D, Sienz J (2016) Part orientation optimisation for the additive layer manufacture of metal components. Int J Adv Manuf Technol 86(5–8):1679–1687
Zurück zum Zitat Qian X (2017) Undercut and overhang angle control in topology optimization: a density gradient based integral approach. Int J Numer Methods Eng 111(3):247–272 Qian X (2017) Undercut and overhang angle control in topology optimization: a density gradient based integral approach. Int J Numer Methods Eng 111(3):247–272
Zurück zum Zitat Reza EM, Hetnarski RB, Ignaczak J, Noda N, Sumi N, Tanigawa Y (2013) Theory of elasticity and thermal stresses, vol 197. Springer, DordrechtMATH Reza EM, Hetnarski RB, Ignaczak J, Noda N, Sumi N, Tanigawa Y (2013) Theory of elasticity and thermal stresses, vol 197. Springer, DordrechtMATH
Zurück zum Zitat Sigmund O, Maute K (2013) Topology optimization approaches. Struct Multidisc Optim 48(6):1031–1055 Sigmund O, Maute K (2013) Topology optimization approaches. Struct Multidisc Optim 48(6):1031–1055
Zurück zum Zitat Stegmann J, Lund E (2005) Discrete material optimization of general composite shell structures. Int J Numer Methods Eng 62(14):2009–2027MATH Stegmann J, Lund E (2005) Discrete material optimization of general composite shell structures. Int J Numer Methods Eng 62(14):2009–2027MATH
Zurück zum Zitat Svanberg K (1987) The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373MATH Svanberg K (1987) The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373MATH
Zurück zum Zitat van de Ven E, Maas R, Ayas C, Langelaar M, van Keulen F (2018) Continuous front propagation-based overhang control for topology optimization with additive manufacturing. Struct Multidisc Optim 57(5):2075–2091MATH van de Ven E, Maas R, Ayas C, Langelaar M, van Keulen F (2018) Continuous front propagation-based overhang control for topology optimization with additive manufacturing. Struct Multidisc Optim 57(5):2075–2091MATH
Zurück zum Zitat Wang C (2020) Boundary control in multiphysics topology optimization for advanced manufacturing. PhD Thesis Wang C (2020) Boundary control in multiphysics topology optimization for advanced manufacturing. PhD Thesis
Zurück zum Zitat Wang C (2022) Simultaneous optimization of build orientation and topology for self-supported enclosed voids in additive manufacturing. Comput Methods Appl Mech Eng 388:114227MATH Wang C (2022) Simultaneous optimization of build orientation and topology for self-supported enclosed voids in additive manufacturing. Comput Methods Appl Mech Eng 388:114227MATH
Zurück zum Zitat Wang C, Qian X (2020a) Simultaneous optimization of build orientation and topology for additive manufacturing. Addit Manuf 34:101246 Wang C, Qian X (2020a) Simultaneous optimization of build orientation and topology for additive manufacturing. Addit Manuf 34:101246
Zurück zum Zitat Wang C, Qian X (2020b) A density gradient approach to topology optimization under design-dependent boundary loading. J Comput Phys 411:109398MATH Wang C, Qian X (2020b) A density gradient approach to topology optimization under design-dependent boundary loading. J Comput Phys 411:109398MATH
Zurück zum Zitat Wang C, Qian X (2020c) Optimizing support for heat dissipation in additive manufacturing. In: ASME 2020 international design engineering technical conferences and computers and information in engineering conference, 2020. American Society of Mechanical Engineers Digital Collection Wang C, Qian X (2020c) Optimizing support for heat dissipation in additive manufacturing. In: ASME 2020 international design engineering technical conferences and computers and information in engineering conference, 2020. American Society of Mechanical Engineers Digital Collection
Zurück zum Zitat Wang Y, Gao J, Kang Z (2018) Level set-based topology optimization with overhang constraint: towards support-free additive manufacturing. Comput Methods Appl Mech Eng 339:591–614MATH Wang Y, Gao J, Kang Z (2018) Level set-based topology optimization with overhang constraint: towards support-free additive manufacturing. Comput Methods Appl Mech Eng 339:591–614MATH
Zurück zum Zitat Wang C, Qian X, Gerstler WD, Shubrooks J (2019) Boundary slope control in topology optimization for additive manufacturing: for self-support and surface roughness. J Manuf Sci Eng 141(9):091001 Wang C, Qian X, Gerstler WD, Shubrooks J (2019) Boundary slope control in topology optimization for additive manufacturing: for self-support and surface roughness. J Manuf Sci Eng 141(9):091001
Zurück zum Zitat Wang C, Zhang W, Zhou L, Gao T, Zhu J (2021) Topology optimization of self-supporting structures for additive manufacturing with B-spline parameterization. Comput Methods Appl Mech Eng 374:113599MATH Wang C, Zhang W, Zhou L, Gao T, Zhu J (2021) Topology optimization of self-supporting structures for additive manufacturing with B-spline parameterization. Comput Methods Appl Mech Eng 374:113599MATH
Zurück zum Zitat Wang C, Yu Z, Zhou M, Qian X (2022) Topology optimization of thermophotonic problem for daytime passive radiative cooling. Int J Heat Mass Transf 183:122097 Wang C, Yu Z, Zhou M, Qian X (2022) Topology optimization of thermophotonic problem for daytime passive radiative cooling. Int J Heat Mass Transf 183:122097
Zurück zum Zitat Xu S, Cai Y, Cheng G (2010) Volume preserving nonlinear density filter based on Heaviside functions. Struct Multidisc Optim 41(4):495–505MATH Xu S, Cai Y, Cheng G (2010) Volume preserving nonlinear density filter based on Heaviside functions. Struct Multidisc Optim 41(4):495–505MATH
Zurück zum Zitat Yamada T, Izui K, Nishiwaki S (2011) A level set-based topology optimization method for maximizing thermal diffusivity in problems including design-dependent effects. J Mech Des 133(3):031011 Yamada T, Izui K, Nishiwaki S (2011) A level set-based topology optimization method for maximizing thermal diffusivity in problems including design-dependent effects. J Mech Des 133(3):031011
Zurück zum Zitat Zhang K, Cheng G (2020) Three-dimensional high resolution topology optimization considering additive manufacturing constraints. Addit Manuf 35:101224 Zhang K, Cheng G (2020) Three-dimensional high resolution topology optimization considering additive manufacturing constraints. Addit Manuf 35:101224
Zurück zum Zitat Zhang W, Zhou L (2018) Topology optimization of self-supporting structures with polygon features for additive manufacturing. Comput Methods Appl Mech Eng 334:56–78MATH Zhang W, Zhou L (2018) Topology optimization of self-supporting structures with polygon features for additive manufacturing. Comput Methods Appl Mech Eng 334:56–78MATH
Zurück zum Zitat Zhang K, Cheng G, Liang X (2019) Topology optimization considering overhang constraint in additive manufacturing. Comput Struct 212:86–100 Zhang K, Cheng G, Liang X (2019) Topology optimization considering overhang constraint in additive manufacturing. Comput Struct 212:86–100
Zurück zum Zitat Zhou M, Rozvany GIN (1991) The COC algorithm, Part II: topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89(1–3):309–336 Zhou M, Rozvany GIN (1991) The COC algorithm, Part II: topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89(1–3):309–336
Zurück zum Zitat Zhou M, Liu Y, Lin Z (2019) Topology optimization of thermal conductive support structures for laser additive manufacturing. Comput Methods Appl Mech Eng 353:24–43MATH Zhou M, Liu Y, Lin Z (2019) Topology optimization of thermal conductive support structures for laser additive manufacturing. Comput Methods Appl Mech Eng 353:24–43MATH
Metadaten
Titel
Simultaneous optimization of part and support for heat dissipation in additive manufacturing
verfasst von
Cunfu Wang
Xiaoping Qian
Publikationsdatum
01.01.2023
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 1/2023
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-022-03466-9

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