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International Journal of AI for
                                                                            Materials and Design





                                        ORIGINAL RESEARCH ARTICLE
                                        Prediction of the lack-of-fusion defect of laser

                                        powder bed fusion based on deep learning



                                        Lidong Wang*
                                        Institute for Systems Engineering Research, Mississippi State University, Mississippi, United States
                                        of America
                                        (This article belongs to the Special Issue: Applications of Deep Learning in Advanced Materials
                                        Processing)




                                        Abstract
                                        Laser powder bed fusion (LPBF) is one of the additive manufacturing (AM) techniques
                                        and the most studied laser-based AM process for metals and alloys. The optimization
                                        of the laser process parameters of LPBF and the prediction of defects, for example,
                                        keyholes, cracks, and lack of fusion (LOF), are important for improving the quality
                                        of products made with LPBF. Deep learning (DL) is powerful in analyzing complex
                                        processes and predicting anomalies; however, much data is generally required for
                                        training a DL model. Experimental studies on AM (e.g., LPBF) habitually employ the
                                        design of experiments to decrease the number of experiments and save time and
                                        costs. Hence, the experimental data are not prepared for DL model creation in most
            *Corresponding author:      situations. This paper studies the creation of a DL model on a small experimental
            Lidong Wang                 dataset with unbalanced data and the prediction of the LOF defect of LPBF utilizing
            (lidong@iser.msstate.edu)
                                        the created DL model. Data analytics is mainly conducted based on four DL methods,
            Citation: Wang L. Prediction of   including  Elman neural networks,  Jordan neural  networks,  deep neural  networks
            the lack-of-fusion defect of laser
            powder bed fusion based on deep   (DNN) with weights initialized by the deep belief network, and the regular DNN based
            learning. Int J AI Mater Design.   on four algorithms: “rprop+”, “rprop−”, “sag,” and “slr.” It is shown that the regular DNN
            2025;2(2):69-78.            after the z-score standardization of the small dataset helps create a more accurate
            doi: 10.36922/IJAMD025060005  DL model and achieve better analytics and prediction results than the three other DL
            Received: February 5, 2025  methods in this paper. The three other DL methods do not work well in the prediction
            1st revised: March 27, 2025  of LOF based on the small dataset (with unbalanced data).
            2nd revised: May 15, 2025
                                        Keywords: Additive manufacturing; Laser powder bed fusion; Deep learning; Deep
            3rd revised: May 29, 2025
                                        neural network; Defect prediction
            Accepted: June 3, 2025
            Published online: June 16, 2025
            Copyright: © 2025 Author(s).   1. Introduction
            This is an Open-Access article
            distributed under the terms of the
            Creative Commons Attribution   Additive manufacturing (AM) is one of the key elements in Industry 4.0. The reliability
            License, permitting distribution,   and quality of metal AM parts or components are critical, especially for a laser powder
            and reproduction in any medium,   bed fusion (LPBF) process. Melt pool defects of LPBF, for example, balling, keyholes,
            provided the original work is
                                                                                          1
            properly cited.             and lack of fusion (LOF) can compromise structural integrity.  LPBF has advantages,
            Publisher’s Note: AccScience   such as complex and precise parts, excellent material densification,  etc. The laser
            Publishing remains neutral with   scanning strategy is one of the significant factors affecting the quality of LPBF parts,
            regard to jurisdictional claims in
            published maps and institutional   where printing defects often occur at the path’s endpoints and between the paths. The
            affiliations.               optimization of process parameters and the improvement of forming environment are


            Volume 2 Issue 2 (2025)                         69                        doi: 10.36922/IJAMD025060005
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