AccScience Publishing / MSAM / Volume 2 / Issue 1 / DOI: 10.36922/msam.50
ORIGINAL RESEARCH ARTICLE

Data imputation strategies for process optimization of laser powder bed fusion of Ti6Al4V using machine learning

Guo Dong Goh1 Xi Huang2 Sheng Huang3 Jia Li Janessa Thong3 Jia Jun Seah3 Wai Yee Yeong1,2,3*
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1 Singapore Centre for 3D Printing, School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue 639798, Singapore
2 HP-NTU Digital Manufacturing Corporate Lab, Nanyang Technological University, Singapore
3 School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue 639798, Singapore
Submitted: 1 February 2023 | Accepted: 7 March 2023 | Published: 22 March 2023
© 2023 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
Abstract

A database linking process parameters and material properties for additive manufacturing enables the performance of the material to be determined based on the process parameters, which are useful in the design and fabrication stage of a product. The data, however, are often incomplete as each individual research work focused on certain process parameters and material properties due to the wide range of variables available. Imputation of missing data is thus required to complete the material library. In this work, we attempt to collate the data of Ti6Al4V, a popular alloy used in aerospace and biomedical industries, fabricated using powder bed fusion, or commonly known as selective laser melting (SLM). Various imputation techniques of missing data of the SLM Ti6Al4V dataset, such as the k-nearest neighbor (kNN), multivariate imputation by chained equations, and graph imputation neural network (GINN) are investigated in this article. It was observed that kNN performed better in imputing variables related to process parameters, whereas GINN performed better in variables related to material properties. To further improve the quality of imputation, a strategy to use the median of the imputed values obtained from the three models has resulted in significant improvement in terms of the relative mean square error. Self-organizing map was used to visualize the relationship among the process parameters and the material properties.

Keywords
Additive manufacturing
3D printing
Selective laser melting
Powder bed fusion
Machine learning
Data analytics
Imputation
Funding
This research is supported by the National Research Foundation, Prime Minister’s Office, Singapore under its Medium-Sized Centre funding scheme.
References
[1]

Liu S, Shin YC, 2019, Additive manufacturing of Ti6Al4V alloy: A review. Mater Des, 164: 107552. https://doi.org/10.1016/j.matdes.2018.107552

[2]

Elsayed M, Ghazy M, Youssef Y, et al., 2019, Optimization of SLM process parameters for Ti6Al4V medical implants. Rapid Prototyp J, 25: 433–447. https://doi.org/10.1108/rpj-05-2018-0112

[3]

Roudnicka M, Bigas J, Vojtech D, 2020, Tuning porosity and mechanical properties of Ti6Al4V alloy additively manufactured by SLM. In: Key Engineering Materials. Vol. 865. Trans Tech Publications, Switzerland, p1–5. 

[4]

Popovich A, Sufiiarov V, Borisov E, et al., 2015, Microstructure and mechanical properties of Ti-6Al-4V manufactured by SLM. In: Key Engineering Materials. Vol. 651. Trans Tech Publications, Switzerland, p677–682.

[5]

Thijs L, Verhaeghe F, Craeghs T, et al., 2010, A study of the microstructural evolution during selective laser melting of Ti-6Al-4V. Acta Mater, 58: 3303–3312. https://doi.org/10.1016/j.actamat.2010.02.004 

[6]

Kuo C, Su C, Chiang A, 2017, Parametric optimization of density and dimensions in three-dimensional printing of Ti-6Al-4V powders on titanium plates using selective laser melting. Int J Precis Eng Manuf, 18: 1609–1618. https://doi.org/10.1007/s12541-017-0190-5 

[7]

Pal S, Lojen G, Kokol V, et al., 2018, Evolution of metallurgical properties of Ti-6Al-4V alloy fabricated in different energy densities in the Selective Laser Melting technique. J Manuf Process, 35: 538–546. https://doi.org/10.1016/j.jmapro.2018.09.012

[8]

Gong H, Rafi K, Starr T, et al., 2013, The Effects of Processing Parameters on Defect Regularity in Ti-6Al-4V Parts Fabricated by Selective Laser Melting and Electron Beam Melting. In: Conference 24th Annual International Solid Freeform Fabrication Symposium.

[9]

Kasperovich G, Haubrich J, Gussone J, et al., 2016, Correlation between porosity and processing parameters in TiAl6V4 produced by selective laser melting. Mater Des, 105: 160–170. https://doi.org/10.1016/j.matdes.2016.05.070

[10]

Ali H, Ma L, Ghadbeigi H, et al., 2017, In-situ residual stress reduction, martensitic decomposition and mechanical properties enhancement through high temperature powder bed pre-heating of Selective Laser Melted Ti6Al4V. Mater Sci Eng A, 695: 211–220.

[11]

Vilaro T, Colin C, Bartout JD, 2011, As-fabricated and heat-treated microstructures of the Ti-6Al-4V alloy processed by selective laser melting. Metall Mater Trans A, 42: 3190–3199. https://doi.org/10.1007/s11661-011-0731-y

[12]

Qiu C, Adkins NJ, Attallah MM, 2013, Microstructure and tensile properties of selectively laser-melted and of HIPed laser-melted Ti-6Al-4V. Mater Sci Eng A, 578: 230–239. https://doi.org/10.1016/j.msea.2013.04.099 

[13]

Xu Y, Zhang D, Guo Y, et al., 2020, Microstructural tailoring of As-selective Laser melted Ti6Al4V alloy for high mechanical properties. J Alloys Compd, 816: 152536. https://doi.org/10.1016/j.jallcom.2019.152536

[14]

Pal S, Gubeljak N, Hudak R, et al., 2019, Tensile properties of selective laser melting products affected by building orientation and energy density. Mater Sci Eng A, 743: 637–647. https://doi.org/10.1016/j.msea.2018.11.130

[15]

Sun J, Yang Y, Wang D, 2013, Parametric optimization of selective laser melting for forming Ti6Al4V samples by Taguchi method. Opt Laser Technol, 49: 118–124. https://doi.org/10.1016/j.optlastec.2012.12.002

[16]

Bartolomeu F, Faria S, Pinto E, et al., 2016, Predictive models for physical and mechanical properties of Ti6Al4V produced by Selective Laser Melting. Mater Sci Eng A, 663: 181–192. https://doi.org/10.1016/j.msea.2016.03.113

[17]

Fotovvati B, Namdari N, Dehghanghadikolaei A, 2018, Fatigue performance of selective laser melted Ti6Al4V components: State of the art. Mater Res Express, 6: 012002. https://doi.org/10.1088/2053-1591/aae10e 

[18]

Goh GD, Sing SL, Yeong WY, 2020, A review on machine learning in 3D printing: Applications, potential, and challenges. Artif Intell Rev, 54: 63–94. https://doi.org/10.1007/s10462-020-09876-9

[19]

Steiner S, Zeng Y, Young TM, et al., 2016, A study of missing data imputation in predictive modeling of a wood-composite manufacturing process. J Qual Technol, 48: 284–296. https://doi.org/10.1080/00224065.2016.11918167

[20]

Wang Y, Li K, Gan S, et al., 2019, Missing data imputation with OLS-based autoencoder for intelligent manufacturing. IEEE Trans Ind Appl, 55: 7219–7229. https://doi.org/10.1109/TIA.2019.2940585

[21]

Andridge RR, Little RJ, 2010, A review of hot deck imputation for survey non‐response. Int Stat Rev, 78: 40–64. https://doi.org/10.1111/j.1751-5823.2010.00103.x 

[22]

Jadhav A, Pramod D, Ramanathan K, 2019, Comparison of performance of data imputation methods for numeric dataset. Appl Artif Intell, 33: 913–933. https://doi.org/10.1080/08839514.2019.1637138

[23]

Altman NS, 1992, An introduction to Kernel and nearest-neighbor nonparametric regression. Am Stat, 46: 175–185. https://doi.org/10.2307/2685209

[24]

Imandoust SB, Bolandraftar M, 2013, Application of K-nearest neighbor (KNN) approach for predicting economic events: Theoretical background. Int J Eng Res Appl, 3: 605–610.

[25]

Wilson DR, Martinez TR, 2000, Reduction techniques for instance-based learning algorithms. Mach Learn, 38: 257–286. https://doi.org/10.1023/A:1007626913721 

[26]

sklearn.impute.KNNImputer-scikit-learn 0.23.2 documentation. Available from: https://scikit-learn.org/stable/modules/generated/sklearn.impute.KNNImputer. html [Last accessed on 2020 Oct 05]. 

[27]

sklearn.metrics.pairwise.nan_euclidean_distances-scikit-learn 0.23.2 documentation. Available from: https://scikit-learn.org/stable/modules/generated/sklearn.metrics. pairwise.nan_euclidean_distances.html [Last accessed on 2020 Oct 05]. 

[28]

Van Buuren S, Groothuis-Oudshoorn K, 2010, Mice: Multivariate imputation by chained equations in R. J Stat Softw, 45: 1–67. https://doi.org/10.18637/jss.v045.i03

[29]

Azur MJ, Stuart EA, Frangakis C, et al., 2011, Multiple imputation by chained equations: What is it and how does it work? Int J Methods Psychiatr Res, 20: 40–49. https://doi.org/10.1002/mpr.329 

[30]

Rubin DB, 1987, Multiple Imputation for Nonresponse in Surveys (Wiley Series in Probability and Statistics). John Wiley and Sons Inc., New York. https://doi.org/10.1002/9780470316696 

[31]

6.4. Imputation of Missing Values-scikit-learn 0.23.2 Documentation. Available from: https://scikit-learn.org/ stable/modules/impute.html#multiple-vs-singleimputation [Last accessed on 2020 Oct 05]. 

[32]

Shah AD, Bartlett JW, Carpenter J, et al., 2014, Comparison of random forest and parametric imputation models for imputing missing data using MICE: A CALIBER study. Am J Epidemiol, 179: 764–774. https://doi.org/10.1093/aje/kwt312 

[33]

Spinelli I, Scardapane S, Uncini A, 2020, Missing data imputation with adversarially-trained graph convolutional networks. Neural Netw, 129: 249–260. https://doi.org/10.1016/j.neunet.2020.06.005

[34]

Kohonen T, 1982, Self-organized formation of topologically correct feature maps. Biol Cybern, 43: 59–69. https://doi.org/10.1007/BF00337288

[35]

Moosavi V, Packmann S, Vallés I, 2014, SOMPY: A Python Library for Self Organizing Map (SOM). Available from: https://www.github.com/sevamoo/sompy [Last accessed on 2020 Oct 05]. 

[36]

Qian J, Nguyen NP, Oya Y, et al., 2019, Introducing self-organized maps (SOM) as a visualization tool for materials research and education. Results Mater, 4: 100020. https://doi.org/10.1016/j.rinma.2019.100020

[37]

Nguyen CD, Carlin JB, Lee KJ, 2017, Model checking in multiple imputation: an overview and case study. Emerging Themes Epidemiol, 14: 8. https://doi.org/10.1186/s12982-017-0062-6 

[38]

Metelkova J, Kinds Y, Kempen K, et al., 2018, On the influence of laser defocusing in Selective Laser melting of 316L. Addit Manuf, 23: 161–169. https://doi.org/10.1016/j.addma.2018.08.006 

[39]

Slobodzian GE. White Paper-apples to Apples: Which Camera Technologies Work Best for Beam Profiling Applications, Part 2: Baseline Methods and Mode Effects. Available from: https://www.ophiropt.com/laser--measurement/knowledge-center/article/8065 [Last accessed on 2020 Oct 12].

[40]

Kuruvilla M, Srivatsan TS, Petraroli M, et al., 2008, An investigation of microstructure, hardness, tensile behaviour of a titanium alloy: Role of orientation. Sadhana, 33: 235–250. https://doi.org/10.1007/s12046-008-0017-2

[41]

Jiang PF, Zhang CH, Zhang S, et al., 2021, Additive manufacturing of novel ferritic stainless steel by selective laser melting: Role of laser scanning speed on the formability, microstructure and properties. Opt Laser Technol, 140: 107055. https://doi.org/10.1016/j.optlastec.2021.107055 

[42]

Wang Z, Xiao Z, Tse Y, et al., 2019, Optimization of processing parameters and establishment of a relationship between microstructure and mechanical properties of SLM titanium alloy. Opt Laser Technol, 112: 159–167. https://doi.org/10.1016/j.optlastec.2018.11.014

Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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Materials Science in Additive Manufacturing, Electronic ISSN: 2810-9635 Published by AccScience Publishing