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Original Article

Topology optimization of continuous fiber-reinforced composite (CFRC) structures considering the residual stress in additive manufacturing

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Received 20 Apr 2023, Accepted 22 Jul 2023, Published online: 11 Aug 2023

References

  • G. Goh, W. Toh, Y. Yap, T. Ng, and W. Yeong, Additively manufactured continuous carbon fiber-reinforced thermoplastic for topology optimized unmanned aerial vehicle structures, Compos. B, vol. 216, pp. 108840, 2021. DOI: 10.1016/j.compositesb.2021.108840.
  • K. Sugiyama, R. Matsuzaki, A.V. Malakhov, A.N. Polilov, M. Ueda, A.A. Todoroki, and Y. Hirano, 3D printing of optimized composites with variable fiber volume fraction and stiffness using continuous fiber, Compos. Sci. Technol., vol. 186, pp. 107905, 2020. DOI: 10.1016/j.compscitech.2019.107905.
  • A. Malakhov, and A. Polilov, Design of composite structures reinforced curvilinear fibres using FEM, Compos. A., vol. 87, pp. 23–28, 2016. DOI: 10.1016/j.compositesa.2016.04.005.
  • V. Papapetrou, C. Patel, and A. Tamijani, Stiffness-based optimization framework for the topology and fiber paths of continuous fiber composites, Compos. B, vol. 183, pp. 107681, 2020. DOI: 10.1016/j.compositesb.2019.107681.
  • H. Ding, B. Xu, C. Huang, and Z. Duan, A multi-scale discrete material optimization model for optimization of structural topology and material orientations to minimize dynamic compliance, Struct. Multidisc. Optim., vol. 64, no. 3, pp. 1343–1365, 2021. DOI: 10.1007/s00158-021-02922-2.
  • Z. Duan, J. Wang, B. Xu, Y. Liu, and J. Yan, A new method for concurrent multi-scale design optimization of fiber-reinforced composite frames with fundamental frequency constraints, Struct. Multidisc. Optim., vol. 64, no. 6, pp. 3773–3795, 2021. DOI: 10.1007/s00158-021-03054-3.
  • A. Desai, M. Mogra, S. Sridhara, K. Kumar, G. Sesha, and G. Ananthasuresh, Topological-derivative-based design of stiff fiber-reinforced structures with optimally oriented continuous fibers, Struct. Multidisc. Optim., vol. 63, no. 2, pp. 703–720, 2021. DOI: 10.1007/s00158-020-02721-1.
  • M.C. Monte Sara, V. Infante, J.F.A. Madeira, and F. Moleiro, Optimization of fibers orientation in a composite specimen, Mech. Adv. Mater. Struct., vol. 24, no. 5, pp. 410–416, 2017. DOI: 10.1080/15376494.2016.1191099.
  • J. Stegmann, and E. Lund, Discrete material optimization of general composite shell structures, Int. J. Numer. Meth. Engng., vol. 62, no. 14, pp. 2009–2027, 2005. DOI: 10.1002/nme.1259.
  • Y. Luo, W. Chen, S. Liu, Q. Li, and Y. Ma, A discrete-continuous parameterization (DCP) for concurrent optimization of structural topologies and continuous material orientations, Compos. Struct., vol. 236, pp. 111900, 2020. DOI: 10.1016/j.compstruct.2020.111900.
  • J. Lee, D. Kim, T. Nomura, E. Dede, and J. Yoo, Topology optimization for continuous and discrete orientation design of functionally graded fiber-reinforced composite structures, Compos. Struct., vol. 201, pp. 217–233, 2018. DOI: 10.1016/j.compstruct.2018.06.020.
  • S. Sørensen, R. Sørensen, and E. Lund, DMTO – a method for discrete material and thickness optimization of laminated composite structures, Struct. Multidisc. Optim., vol. 50, no. 1, pp. 25–47, 2014. DOI: 10.1007/s00158-014-1047-5.
  • R. Sørensen, and E. Lund, Thickness filters for gradient based multi-material and thickness optimization of laminated composite structures, Struct. Multidisc. Optim., vol. 52, no. 2, pp. 227–250, 2015. DOI: 10.1007/s00158-015-1230-3.
  • Z. Qiu, Q. Li, Y. Luo, and S. Liu, Concurrent topology and fiber orientation optimization method for fiber-reinforced composites based on composite additive manufacturing, Comput. Methods Appl. Mech. Eng., vol. 395, pp. 114962, 2022. DOI: 10.1016/j.cma.2022.114962.
  • Q. Xia, and T. Shi, Optimization of composite structures with continuous spatial variation of fiber angle through Shepard interpolation, Compos. Struct., vol. 182, pp. 273–282, 2017. DOI: 10.1016/j.compstruct.2017.09.052.
  • X. Yan, Q. Xu, H. Hua, D. Huang, and X. Huang, Concurrent topology optimization of structures and orientation of anisotropic materials, Eng. Optim., vol. 52, no. 9, pp. 1598–1611, 2020. DOI: 10.1080/0305215X.2019.1663186.
  • T. Nomura, A. Kawamoto, T. Kondoh, E.M. Dede, J. Lee, Y. Song, and N. Kikuchi, Inverse design of structure and fiber orientation by means of topology optimization with tensor field variables, Compos. B, vol. 176, pp. 107187, 2019. DOI: 10.1016/j.compositesb.2019.107187.
  • M. Schmidt, L. Couret, C. Gout, and C. Pedersen, Structural topology optimization with smoothly varying fiber orientations, Struct. Multidisc. Optim., vol. 62, no. 6, pp. 3105–3126, 2020. DOI: 10.1007/s00158-020-02657-6.
  • B. Fedulov, A. Fedorenko, A. Khaziev, and F. Antonov, Optimization of parts manufactured using continuous fiber three-dimensional printing technology, Compos. B, vol. 227, pp. 109406, 2021. DOI: 10.1016/j.compositesb.2021.109406.
  • M. Eckrich, P. Arrabiyeh, A. Dlugaj, and D. May, Structural topology optimization and path planning for composites manufactured by fiber placement technologies, Compos. Struct., vol. 289, pp. 115488, 2022. DOI: 10.1016/j.compstruct.2022.115488.
  • G. D. Goh, V. Dikshit, J. An, and W. Y. Yeong, Process-structure-property of additively manufactured continuous carbon fiber reinforced thermoplastic: an investigation of mode I interlaminar fracture toughness, Mech. Adv. Mater. Struct., vol. 29, no. 10, pp. 1418–1430, 2022. DOI: 10.1080/15376494.2020.1821266.
  • P. Cheng, Y. Peng, S. Li, Y. Rao, A.L. Duigou, K. Wang, and S. Ahzi, 3D printed continuous fiber reinforced composite lightweight structures: a review and outlook, Compos. B, vol. 250, pp. 110450, 2023. DOI: 10.1016/j.compositesb.2022.110450.
  • C. Zeng, L. Liu, W. Bian, J. Leng, and Y. Liu, Compression behavior and energy absorption of 3D printed continuous fiber reinforced composite honeycomb structures with shape memory effects, Addit. Manuf., vol. 38, pp. 101842, 2021. DOI: 10.1016/j.addma.2021.101842.
  • Z.Y. Li, X.T. Wang, J. S. Yang, S. Li, and K. U. Schröder, Mechanical response and auxetic properties of composite double-arrow corrugated sandwich panels with defects, Mech. Adv. Mater. Struct., vol. 29, no. 27, pp. 6517–6529, 2022. DOI: 10.1080/15376494.2021.1980926.
  • X. Li, L. Wu, Li Ma, and X. Yan, Compression and shear response of carbon fiber composite sandwich panels with pyramidal truss cores after thermal exposure, Mech. Adv. Mater. Struct., vol. 26, no. 10, pp. 866–877, 2019. DOI: 10.1080/15376494.2018.1430269.
  • Z. Hou, X. Tian, J. Zhang, and D. Li, 3D printed continuous fibre reinforced composite corrugated structure, Compos. Struct., vol. 184, pp. 1005–1010, 2018. DOI: 10.1016/j.compstruct.2017.10.080.
  • B. Wang, G. Wang, Y. Shi, L. Huang, and K. Tian, Stress-constrained thermo-elastic topology optimization of axisymmetric disks considering temperature-dependent material properties, Mech. Adv. Mater. Struct., vol. 29, no. 28, pp. 7459–7475, 2022. DOI: 10.1080/15376494.2021.2000080.
  • M. Siewert, F. Neugebauer, J. Epp, and V. Ploshikhin, Validation of Mechanical Layer Equivalent Method for simulation of residual stresses in additive manufactured components, Comput. Math. Appl., vol. 78, no. 7, pp. 2407–2416, 2019. DOI: 10.1016/j.camwa.2018.08.016.
  • A. Takezawa, Q. Chen, and A. To, Optimally variable density lattice to reduce warping thermal distortion of laser powder bed fusion, Addit. Manuf., vol. 48, no. PB, pp. 102422, 2021. DOI: 10.1016/j.addma.2021.102422.
  • J. Baiges, M. Chiumenti, C. Moreira, M. Cervera, and R. Codina, An adaptive Finite Element strategy for the numerical simulation of additive manufacturing processes, Addit. Manuf., vol. 37, pp. 101650, 2021. DOI: 10.1016/j.addma.2020.101650.
  • G. Misiun, E. van de Ven, M. Langelaar, H. Geijselaers, F. van Keulen, T. van den Boogaard, and C. Ayas, Topology Optimization for additive manufacturing with distortion constraints, Comput. Methods Appl. Mech. Eng., vol. 386, pp. 114095, 2021. DOI: 10.1016/j.cma.2021.114095.
  • S. Xu, J. Liu, and Y. Ma, Residual stress constrained self-support topology optimization for metal additive manufacturing, Comput. Methods Appl. Mech. Eng., vol. 389, pp. 114380, 2022. DOI: 10.1016/j.cma.2021.114380.
  • Grégoire Allaire, and Lukas Jakabcin, Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing, Math. Models Methods Appl. Sci., vol. 28, no. 12, pp. 2313–2366, 2018. DOI: 10.1142/S0218202518500501.
  • T. Miki, and T. Yamada, Topology optimization considering the distortion in additive manufacturing, Finite Elem. Anal. Des., vol. 193, pp. 103558, 2021. DOI: 10.1016/j.finel.2021.103558.
  • L. Cheng, X. Liang, J. Bai, Q. Chen, J. Lemon, and A. To, On utilizing topology optimization to design support structure to prevent residual stress induced build failure in laser powder bed metal additive manufacturing, Addit. Manuf., vol. 27, pp. 290–304, 2019. DOI: 10.1016/j.addma.2019.03.001.
  • Z. Zhang, O. Ibhadode, U. Ali, C.F. Dibia, P. Rahnama, A. Bonakdar, and E. Toyserkani, Topology optimization parallel-computing framework based on the inherent strain method for support structure design in laser powder-bed fusion additive manufacturing, Int. J. Mech. Mater. Des., vol. 16, no. 4, pp. 897–923, 2020. DOI: 10.1007/s10999-020-09494-x.
  • J. Pellens, G. Lombaert, M. Michiels, T. Craeghs, and M. Schevenels, Topology optimization of support structure layout in metal-based additive manufacturing accounting for thermal deformations, Struct. Multidisc. Optim., vol. 61, no. 6, pp. 2291–2303, 2020. DOI: 10.1007/s00158-020-02512-8.
  • S. Li, S. Yuan, J. Zhu, W. Zhang, H. Zhang, and J. Li, Multidisciplinary topology optimization incorporating process-structure-property-performance relationship of additive manufacturing, Struct. Multidisc. Optim., vol. 63, no. 5, pp. 2141–2157, 2021. DOI: 10.1007/s00158-021-02856-9.
  • D. Seifert, A. Abbott, and J. Baur, Topology and alignment optimization of additively manufactured, fiber-reinforced composites, Struct. Multidisc. Optim., vol. 63, no. 6, pp. 2673–2683, 2021. DOI: 10.1007/s00158-020-02826-7.
  • M. Petrovic, T. Nomura, T. Yamada, K. Izui, and S. Nishiwaki, Orthotropic material orientation optimization method in composite laminates, Struct. Multidisc Optim., vol. 57, no. 2, pp. 815–828, 2018. DOI: 10.1007/s00158-017-1777-2.
  • A. Safonov, 3D topology optimization of continuous fiber-reinforced structures via natural evolution method, Compos. Struct., vol. 215, pp. 289–297, 2019. DOI: 10.1016/j.compstruct.2019.02.063.
  • D. Yang, H. Liu, W. Zhang, and S. Li, Stress-constrained topology optimization based on maximum stress measures, Comput. Struct., vol. 198, pp. 23–39, 2018. DOI: 10.1016/j.compstruc.2018.01.008.
  • T. Roiné, M. Montemurro, and J. Pailhès, Stress-based topology optimization through non-uniform rational basis spline hyper-surfaces, Mech. Adv. Mater. Struct., vol. 29, no. 23, pp. 3387–3407, 2022. DOI: 10.1080/15376494.2021.1896822.
  • K. Svanberg, The method of moving asymptotes-a new method for structural optimization, Int. J. Numer. Meth. Eng., vol. 24, no. 2, pp. 359–373, 1987. DOI: 10.1002/nme.1620240207.
  • R. Akkerman, On the properties of quasi-isotropic laminates, Compos. B, vol. 33, no. 2, pp. 133–140, 2002. DOI: 10.1016/S1359-8368(02)00002-1.

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