journal article·2020-12

Topology optimization parallel-computing framework based on the inherent strain method for support structure design in laser powder-bed fusion additive manufacturing

Zhi-Dong Zhang, Osezua Ibhadode, Usman Ali, Chinedu Francis Dibia, Pouyan Rahnama, Ali Bonakdar, Ehsan Toyserkani

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Abstract

In this work, a topology optimization parallel-computing framework is developed to design support structures for minimizing deflections in Laser Powder-bed Fusion produced parts. The parallel-computing framework consists of a topology optimization model and an Inherent Strain Method (ISM) model. The proposed framework is used to design stiffer support structures to reduce the before and after-cutting deflections in printed cantilevers. Gravity load and residual stresses calculated from ISM are applied in the topology optimization model. The optimized results were printed and analyzed for validating the effectiveness of the proposed model. Experimental results show that the optimized supports can achieve over 60% reduction in part deflection as well as over 50% material usage reduction compared to the default support structure. In addition, ISM also was used to predict the part deflections and shows good agreement (average error of 6%) between the experimental and simulated results. Lastly, the multi-node parallelization of the proposed framework showed ~ 5 times speedup compared to a single-node implementation.
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Research context

OpenAlex topics: Topology Optimization in Engineering · Additive Manufacturing Materials and Processes · Additive Manufacturing and 3D Printing Technologies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (64)

Show source-provided references
1. Aage, N., Andreassen, E., Lazarov, B.S.: Topology optimization using PETSc: an easy-to-use, fully parallel, open source topology optimization framework. Struct. Multidiscip. Optim. 51, 565–572 (2015). https://doi.org/10.1007/s00158-014-1157-010.1007/s00158-014-1157-0 ↗
2. Aage, N., Andreassen, E., Lazarov, B.S., Sigmund, O.: Giga-voxel computational morphogenesis for structural design. Nature 550, 84–86 (2017). https://doi.org/10.1038/nature2391110.1038/nature23911 ↗
3. Ali, U., Mahmoodkhani, Y., Imani Shahabad, S., Esmaeilizadeh, R., Liravi, F., Sheydaeian, E., Huang, K.Y., Marzbanrad, E., Vlasea, M., Toyserkani, E.: On the measurement of relative powder-bed compaction density in powder-bed additive manufacturing processes. Mater. Des. 155, 495–501 (2018). https://doi.org/10.1016/j.matdes.2018.06.03010.1016/j.matdes.2018.06.030 ↗
4. Allaire, G., Jakabain, L.: Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. Math. Model. Methods Appl. Sci. 28, 2313–2366 (2018). https://doi.org/10.1142/S021820251850050110.1142/S0218202518500501 ↗
5. Allaire, G., Jouve, F., Toader, A.M.: Structural optimization using sensitivity analysis and a level-set method. J. Comput. Phys. 194, 363–393 (2004). https://doi.org/10.1016/j.jcp.2003.09.03210.1016/j.jcp.2003.09.032 ↗
6. Bartsch, K., Lange, F., Gralow, M., Emmelmann, C.: Novel approach to optimized support structures in laser beam melting by combining process simulation with topology optimization. J. Laser Appl. 31, 022302 (2019). https://doi.org/10.2351/1.509609610.2351/1.5096096 ↗
7. Bendsøe, M.P., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Eng. 71, 197–224 (1988). https://doi.org/10.1016/0045-7825(88)90086-210.1016/0045-7825(88)90086-2 ↗
8. Bendsøe, M.P., Sigmund, O.: Material interpolation schemes in topology optimization. Arch. Appl. Mech. 69, 635–654 (1999). https://doi.org/10.1007/s00419005024810.1007/s004190050248 ↗
9. Bendsøe, M.P., Sigmund, O.: Topology Optimization: Theory, Methods and Applications. Springer, Berlin (2003)
10. Benham, P.P., Armstrong, C.G., Crawford, R.J.: Mechanics of Engineering Materials. Addison-Wesley, Boston (1996)
11. Brackett, D., Ashcroft, I., Hague, R.: Topology optimization for additive manufacturing. In: Proceeding of Solid Freeform Fabrication Symposium, pp. 348–362. Austin, TX (2011)
12. Buchbinder, D., Meiners, W., Pirch, N., Wissenbach, K., Schrage, J.: Investigation on reducing distortion by preheating during manufacture of aluminum components using selective laser melting. J. Laser Appl. 26, 12004 (2013). https://doi.org/10.2351/1.482875510.2351/1.4828755 ↗
13. Calignano, F.: Design optimization of supports for overhanging structures in aluminum and titanium alloys by selective laser melting. Mater. Des. 64, 203–213 (2014). https://doi.org/10.1016/j.matdes.2014.07.04310.1016/j.matdes.2014.07.043 ↗
14. Chen, Q., Liang, X., Hayduke, D., Liu, J., Cheng, L., Oskin, J., Whitmore, R., To, A.C.: An inherent strain based multiscale modeling framework for simulating part-scale residual deformation for direct metal laser sintering. Addit. Manuf. (2019). https://doi.org/10.1016/j.addma.2019.05.02110.1016/j.addma.2019.05.021 ↗
15. Cheng, L., To, A.: Part-scale build orientation optimization for minimizing residual stress and support volume for metal additive manufacturing: theory and experimental validation. Comput. Des. (2019). https://doi.org/10.1016/j.cad.2019.03.00410.1016/j.cad.2019.03.004 ↗
16. Cheng, L., Liang, X., Bai, J., Chen, Q., Lemon, J., To, A.: On utilizing topology optimization to design support structure to prevent residual stress induced build failure in laser powder bed metal additive manufacturing. Addit. Manuf. (2019). https://doi.org/10.1016/j.addma.2019.03.00110.1016/j.addma.2019.03.001 ↗
17. DebRoy, T., Wei, H.L., Zuback, J.S., Mukherjee, T., Elmer, J.W., Milewski, J.O., Beese, A.M., Wilson-Heid, A., De, A., Zhang, W.: Additive manufacturing of metallic components—process, structure and properties. Prog. Mater. Sci. 92, 112–224 (2018). https://doi.org/10.1016/j.pmatsci.2017.10.00110.1016/j.pmatsci.2017.10.001 ↗
18. du Plessis, A., Broeckhoven, C., Yadroitsava, I., Yadroitsev, I., Hands, C.H., Kunju, R., Bhate, D.: Beautiful and functional: a review of biomimetic design in additive manufacturing. Addit. Manuf. 27, 408–427 (2019). https://doi.org/10.1016/j.addma.2019.03.03310.1016/j.addma.2019.03.033 ↗
19. Etter, T., Kunze, K., Geiger, F., Meidani, H.: Reduction in mechanical anisotropy through high temperature heat treatment of Hastelloy X processed by selective laser melting (SLM). IOP Conf. Ser. Mater. Sci. Eng. (2015). https://doi.org/10.1088/1757-899X/82/1/01209710.1088/1757-899X/82/1/012097 ↗
20. Fayazfar, H., Salarian, M., Rogalsky, A., Sarker, D., Russo, P., Paserin, V., Toyserkani, E.: A critical review of powder-based additive manufacturing of ferrous alloys: process parameters, microstructure and mechanical properties. Mater. Des. 144, 98–128 (2018). https://doi.org/10.1016/j.matdes.2018.02.01810.1016/j.matdes.2018.02.018 ↗
21. Gaynor, A.T., Guest, J.K.: Topology optimization considering overhang constraints: eliminating sacrificial support material in additive manufacturing through design. Struct. Multidiscip. Optim. 54, 1157–1172 (2016). https://doi.org/10.1007/s00158-016-1551-x10.1007/s00158-016-1551-x ↗
22. Hussein, A., Hao, L., Yan, C., Everson, R., Young, P.: Advanced lattice support structures for metal additive manufacturing. J. Mater. Process. Technol. 213, 1019–1026 (2013). https://doi.org/10.1016/j.jmatprotec.2013.01.02010.1016/j.jmatprotec.2013.01.020 ↗
23. Jiang, J., Xu, X., Stringer, J.: Support structures for additive manufacturing: a review. J. Manuf. Mater. Process. 2, 64 (2018). https://doi.org/10.3390/jmmp204006410.3390/jmmp2040064 ↗
24. Keller, N., Ploshikhin, V.: New method for fast predictions of residual stress and distortions of AM parts. In: Proceeding of Solid Freeform. Fabrication Symposium, Austin, TX, vol. 25. (2014)
25. Khairallah, S.A., Anderson, A.: Mesoscopic simulation model of selective laser melting of stainless steel powder. J. Mater. Process. Technol. 214, 2627–2636 (2014). https://doi.org/10.1016/j.jmatprotec.2014.06.00110.1016/j.jmatprotec.2014.06.001 ↗
26. Kruth, J.P., Deckers, J., Yasa, E., Wauthlé, R.: Assessing and comparing influencing factors of residual stresses in selective laser melting using a novel analysis method. Proc. Inst. Mech. Eng. Part B J. Eng. Manuf. 226, 980–991 (2012). https://doi.org/10.1177/095440541243708510.1177/0954405412437085 ↗
27. Kuo, Y.H., Cheng, C.C., Lin, Y.S., San, C.H.: Support structure design in additive manufacturing based on topology optimization. Struct. Multidiscip. Optim. 57, 183–195 (2018). https://doi.org/10.1007/s00158-017-1743-z10.1007/s00158-017-1743-z ↗
28. Langelaar, M.: An additive manufacturing filter for topology optimization of print-ready designs. Struct. Multidiscip. Optim. 55, 871–883 (2017). https://doi.org/10.1007/s00158-016-1522-210.1007/s00158-016-1522-2 ↗
29. Langelaar, M.: Combined optimization of part topology, support structure layout and build orientation for additive manufacturing. Struct. Multidiscip. Optim. 57, 1985–2004 (2018). https://doi.org/10.1007/s00158-017-1877-z10.1007/s00158-017-1877-z ↗
30. Lazarov, B.S., Wang, F.: Maximum length scale in density based topology optimization. Comput. Methods Appl. Mech. Eng. 318, 826–844 (2017). https://doi.org/10.1016/j.cma.2017.02.01810.1016/j.cma.2017.02.018 ↗
31. Le Roux, S., Salem, M., Hor, A.: Improvement of the bridge curvature method to assess residual stresses in selective laser melting. Addit. Manuf. 22, 320–329 (2018). https://doi.org/10.1016/j.addma.2018.05.02510.1016/j.addma.2018.05.025 ↗
32. Li, C., Fu, C.H., Guo, Y.B., Fang, F.Z.: A multiscale modeling approach for fast prediction of part distortion in selective laser melting. J. Mater. Process. Technol. 229, 703–712 (2015). https://doi.org/10.1016/j.jmatprotec.2015.10.02210.1016/j.jmatprotec.2015.10.022 ↗
33. Li, C., Liu, J.F., Fang, X.Y., Guo, Y.B.: Efficient predictive model of part distortion and residual stress in selective laser melting. Addit. Manuf. 17, 157–168 (2017). https://doi.org/10.1016/j.addma.2017.08.01410.1016/j.addma.2017.08.014 ↗
34. Liang, X., Cheng, L., Chen, Q., Yang, Q., To, A.: 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. (2018). https://doi.org/10.1016/J.ADDMA.2018.08.02910.1016/J.ADDMA.2018.08.029 ↗
35. Liang, X., Dong, W., Hinnebusch, S., Chen, Q., Tran, H.T., Lemon, J., Cheng, L., Zhou, Z., Hayduke, D., To, A.C.: Inherent strain homogenization for fast residual deformation simulation of thin-walled lattice support structures built by laser powder bed fusion additive manufacturing. Addit. Manuf. (2020). https://doi.org/10.1016/j.addma.2020.10109110.1016/j.addma.2020.101091 ↗
36. Liu, J., Gaynor, A.T., Chen, S., Kang, Z., Suresh, K., Takezawa, A., Li, L., Kato, J., Tang, J., Wang, C.C.L., Cheng, L., Liang, X., To, A.C.: Current and future trends in topology optimization for additive manufacturing. Struct. Multidiscip. Optim. 57, 2457–2483 (2018). https://doi.org/10.1007/s00158-018-1994-310.1007/s00158-018-1994-3 ↗
37. Liu, H., Tian, Y., Zong, H., Ma, Q., Wang, M.Y., Zhang, L.: Fully parallel level set method for large-scale structural topology optimization. Comput. Struct. 221, 13–27 (2019). https://doi.org/10.1016/j.compstruc.2019.05.01010.1016/j.compstruc.2019.05.010 ↗
38. Meng, L., Zhang, W., Quan, D., Shi, G., Tang, L., Hou, Y., Breitkopf, P., Zhu, J., Gao, T.: From topology optimization design to additive manufacturing: today’s success and tomorrow’s roadmap. Arch. Comput. Methods Eng. (2019). https://doi.org/10.1007/s11831-019-09331-110.1007/s11831-019-09331-1 ↗
39. Mercelis, P., Kruth, J.: Residual stresses in selective laser sintering and selective laser melting. Rapid Prototyp. J. 12, 254–265 (2006). https://doi.org/10.1108/1355254061070701310.1108/13552540610707013 ↗
40. Mezzadri, F., Bouriakov, V., Qian, X.: Topology optimization of self-supporting support structures for additive manufacturing. Addit. Manuf. 21, 666–682 (2018). https://doi.org/10.1016/j.addma.2018.04.01610.1016/j.addma.2018.04.016 ↗
41. Mishurova, T., Cabeza, S., Artzt, K., Haubrich, J., Klaus, M., Genzel, C., Requena, G., Bruno, G.: An assessment of subsurface residual stress analysis in SLM Ti-6Al-4V. Mater. (Basel) (2017). https://doi.org/10.3390/ma1004034810.3390/ma10040348 ↗
42. Parry, L., Ashcroft, I.A., Wildman, R.D.: Understanding the effect of laser scan strategy on residual stress in selective laser melting through thermo-mechanical simulation. Addit. Manuf. 12, 1–15 (2016). https://doi.org/10.1016/j.addma.2016.05.01410.1016/j.addma.2016.05.014 ↗
43. Qian, X.: Undercut and overhang angle control in topology optimization: a density gradient based integral approach. Int. J. Numer. Methods Eng. 111, 247–272 (2017). https://doi.org/10.1002/nme.546110.1002/nme.5461 ↗
44. Rozvany, G.I.N.: A critical review of established methods of structural topology optimization. Struct. Multidiscip. Optim. 37, 217–237 (2009). https://doi.org/10.1007/s00158-007-0217-010.1007/s00158-007-0217-0 ↗
45. Siewert, M., Neugebauer, F., Epp, J., Ploshikhin, V.: Validation of mechanical layer equivalent method for simulation of residual stresses in additive manufactured components. Comput. Math. Appl. 78, 2407–2416 (2019). https://doi.org/10.1016/j.camwa.2018.08.01610.1016/j.camwa.2018.08.016 ↗
46. Sigmund, O.: A 99 line topology optimization code written in Matlab. Struct. Multidiscip. Optim. 21, 120–127 (2001). https://doi.org/10.1007/s00158005017610.1007/s001580050176 ↗
47. Sigmund, O., Maute, K.: Topology optimization approaches. Struct. Multidiscip. Optim. 48, 1031–1055 (2013). https://doi.org/10.1007/s00158-013-0978-610.1007/s00158-013-0978-6 ↗
48. Sigmund, O., Petersson, J.: Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct. Optim. 16, 68–75 (1998). https://doi.org/10.1007/BF0121400210.1007/BF01214002 ↗
49. Svanberg, K.: The method of moving asymptotes—a new method for structural optimization. Int. J. Numer. Methods Eng. 24, 359–373 (1987). https://doi.org/10.1002/nme.162024020710.1002/nme.1620240207 ↗
50. Ueda, Y., Yuan, M.G.: Prediction of residual stresses in butt welded plates using inherent strains. J. Eng. Mater. Technol. 115, 417 (1993). https://doi.org/10.1115/1.290424010.1115/1.2904240 ↗
51. Ueda, Y., Kim, Y.C., Yuan, M.G.: A predicting method of welding residual stress using source of residual stress. Q. J. Jpn. Weld. Soc. 6, 59–64 (1988). https://doi.org/10.2207/qjjws.6.5910.2207/qjjws.6.59 ↗
52. Wen, J.F., Liu, Y., Srivastava, A., Benzerga, A.A., Tu, S.T., Needleman, A.: Environmentally enhanced creep crack growth by grain boundary cavitation under cyclic loading. Acta Mater. 153, 136–146 (2018). https://doi.org/10.1016/j.actamat.2018.04.03410.1016/j.actamat.2018.04.034 ↗
53. Wu, J., Dick, C., Westermann, R.: A system for high-resolution topology optimization. IEEE Trans. Vis. Comput. Graph. 22, 1195–1208 (2016). https://doi.org/10.1109/TVCG.2015.250258810.1109/TVCG.2015.2502588 ↗
54. Xia, L., Xia, Q., Huang, X., Xie, Y.M.: Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. Arch. Comput. Methods Eng. 25, 437–478 (2018). https://doi.org/10.1007/s11831-016-9203-210.1007/s11831-016-9203-2 ↗
55. Yaghi, A., Ayvar-Soberanis, S., Moturu, S., Bilkhu, R., Afazov, S.: Design against distortion for additive manufacturing. In: 1st International Conference on Additive Manufacturing Benchmarks, vol. 27, pp. 224–235 (2018). https://doi.org/10.1016/j.addma.2019.03.01010.1016/j.addma.2019.03.010 ↗
56. Yan, W., Ge, W., Qian, Y., Lin, S., Zhou, B., Liu, W.K., Lin, F., Wagner, G.J.: Multi-physics modeling of single/multiple-track defect mechanisms in electron beam selective melting. Acta Mater. 134, 324–333 (2017). https://doi.org/10.1016/j.actamat.2017.05.06110.1016/j.actamat.2017.05.061 ↗
57. Yang, Y.P., Jamshidinia, M., Boulware, P., Kelly, S.M.: Prediction of microstructure, residual stress, and deformation in laser powder bed fusion process. Comput. Mech. 61, 599–615 (2018). https://doi.org/10.1007/s00466-017-1528-710.1007/s00466-017-1528-7 ↗
58. Zaeh, M.F., Branner, G.: Investigations on residual stresses and deformations in selective laser melting. Prod. Eng. 4, 35–45 (2010). https://doi.org/10.1007/s11740-009-0192-y10.1007/s11740-009-0192-y ↗
59. Zegard, T., Paulino, G.H.: Bridging topology optimization and additive manufacturing. Struct. Multidiscip. Optim. (2015). https://doi.org/10.1007/s00158-015-1274-410.1007/s00158-015-1274-4 ↗
60. Zeng, K., Pal, D., Teng, C., Stucker, B.E.: Evaluations of effective thermal conductivity of support structures in selective laser melting. Addit. Manuf. 6, 67–73 (2015). https://doi.org/10.1016/j.addma.2015.03.00410.1016/j.addma.2015.03.004 ↗
61. Zhang, Z., Huang, Y., Rani Kasinathan, A., Imani Shahabad, S., Ali, U., Mahmoodkhani, Y., Toyserkani, E.: 3-Dimensional heat transfer modeling for laser powder-bed fusion additive manufacturing with volumetric heat sources based on varied thermal conductivity and absorptivity. Opt. Laser Technol. 109, 297–312 (2019). https://doi.org/10.1016/j.optlastec.2018.08.01210.1016/j.optlastec.2018.08.012 ↗
62. Zhou, M., Lazarov, B.S., Wang, F., Sigmund, O.: Minimum length scale in topology optimization by geometric constraints. Comput. Methods Appl. Mech. Eng. 293, 266–282 (2015). https://doi.org/10.1016/j.cma.2015.05.00310.1016/j.cma.2015.05.003 ↗
63. Zhou, M., Liu, Y., Lin, Z.: Topology optimization of thermal conductive support structures for laser additive manufacturing. Comput. Methods Appl. Mech. Eng. 353, 24–43 (2019). https://doi.org/10.1016/j.cma.2019.03.05410.1016/j.cma.2019.03.054 ↗
64. Zhu, J.H., Zhang, W.H., Xia, L.: Topology optimization in aircraft and aerospace structures design. Arch. Comput. Methods Eng. 23, 595–622 (2016). https://doi.org/10.1007/s11831-015-9151-210.1007/s11831-015-9151-2 ↗