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International Journal of AI

                                                                  for Material and Design




                                        ORIGINAL RESEARCH ARTICLE
                                        Integration of physics-based data in deep

                                        learning model training for predicting the
                                        effect of sulfur content in the directed energy

                                        deposition process



                                                             1,2
                                        Stanley Jian Liang Wong , Chengxi Chen , Eddie Zhi’En Tan , and Hua Li *
                                                                                                        1
                                                                                             2
                                                                            1,2
                                        1 Department of Singapore Centre for 3D Printing, School of Mechanical and Aerospace Engineering,
                                        Nanyang Technological University, Singapore, Republic of Singapore
                                        2 Makino Asia Pte Ltd, Singapore, Republic of Singapore

                                        Abstract

                                        The training of a machine learning model solely on experimental data, encompassing
                                        both pre- and post-process information, can reveal the general relationship of the
                                        directed energy deposition process. However, models trained in this manner encounter
                                        limitations in capturing critical in-process information occurring during deposition.
                                        This paper details the training of a deep learning model through the integration
                                        of in-process physics-based simulation information and a pre-process experiment
                                        dataset. The sulfur content of stainless steel 316L was selected as critical in-process
                                        information affecting the final track geometry and was captured using computational
                                        fluid dynamics simulation of a single-track deposition process, which cannot be
                                        captured accurately through experimentation. The physics-based simulation dataset
            *Corresponding author:      was generated by obtaining the contour of deposition and dilution of the solidified
            Hua Li                      track cross-section. The experiment was conducted using central composite design,
            (lihua@ntu.edu.sg)          and data augmentation was achieved through curve fitting using a response surface
            Citation: Wong SJL, Chen C,    methodology regression model. Statistical analysis assessing the quality of simulation
            Tan EZ, Li H. Integration of physics-  and experiment data was conducted. Among six baseline models, a deep learning
            based data in deep learning model
            training for predicting the effect of   model with a specified training sequence of experiment and simulation data, denoted
                                                                                      2
            sulfur content in the directed energy   as DL-AugExp-Sim-Exp, exhibited the best-performing R  and root mean square error
            deposition process. Int J AI Mater   prediction accuracy for cross-section track shape. Notably, deep learning models
            Design. 2024;1(1):2355.
                                                                                                             2
            https://doi.org/10.36922/ijamd.2355   trained with both experiment and simulation information demonstrated a lower R
                                        value compared to models trained solely with experiment data, revealing a tradeoff
            Received: December 1, 2023           2
            Accepted: January 3, 2024   between R  value and additional prediction capability. In summary, in this study,
            Published Online: January 17, 2024  the integration of a physics-based simulation dataset demonstrated the additional
                                        prediction capability concerning the effect of sulfur content on track geometry.
            Copyright: © 2024 Author(s).
            This is an Open-Access article
            distributed under the terms of the
            Creative Commons Attribution   Keywords: Additive manufacturing; Directed energy deposition; Machine learning
            License, permitting distribution,
            and reproduction in any medium,
            provided the original work is
            properly cited.             1. Introduction
            Publisher’s Note: AccScience
            publishing remains neutral with   Additive manufacturing (AM) is rapidly gaining popularity within the manufacturing
            regard to jurisdictional claims in
            published maps and institutional   industry, resulting in an increase in the number of developed AM machines. However,
            affiliations.               the  quest  for  optimal  parameters  remains  an  exhaustive  process,  often  relying  on  a


            Volume 1 Issue 1 (2024)                         44                      https://doi.org/10.36922/ijamd.2355
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