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International Journal of AI
            for Material and Design                                               Integrating physics data for DL in DED



            trial-and-error approach. This challenge becomes more   Mozaffar  et  al.  employed a recurrent neural network
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            pronounced when the process is repeated with a set of   with a gated recurrent unit technique to predict thermal
            materials featuring slight changes in critical elements. In   histories, accounting for changes in geometry and process
            addition, experimentation alone proves insufficient in   parameters.  To  address  the  challenge  posed  by  varying
            capturing all influencing factors of a print arising from a   geometries in AM processes, a graph-based representation
            material change. One example is the impact of surface-  was further developed using neural networks to capture
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            active elements, such as sulfur, wherein the sulfur content   spatiotemporal dependencies of thermal responses.
                                                                       21
            within the deposition of stainless steel influences the   Lu  et al.   used an improved backpropagation-based
            track geometry of a single-track print in directed energy   network to predict the height of the single track. Wang
                                                                   19
            deposition (DED). 1,2                              et al.   developed a Gaussian process regression (GPR)
                                                               model using physics-based simulation data to predict
              Recognizing the advantages of physics-based models,
            which possess the capability to reveal underlying features   the geometrical characteristics of cladding tracks. It is
                                                               noteworthy that the GPR model was exclusively trained
            unattainable through experimental means, numerous   using physics-based data, potentially introducing inherent
            attempts have been made to model the DED process   biases due to missing physics. Furthermore, these models
            using physics-based simulation.  Key phenomena,    were used to analyze process and output relations that can
                                        3
            such as the effect of sulfur content, have been captured   be experimentally measured but do not fully capture the
            using computational fluid dynamics coupled with    advantages of physics-based simulations. However, ML
            interface  tracking  models  such  as  volume  of  fluid. 2,4-6    methods, characterized as black-box methods lacking
            Gan  et al.  investigated the influence of sulfur content   knowledge of physics, necessitate meticulous training
                    6
            and temperature on Marangoni convection using an   using  available  experimental  data  –  often  fraught  with
            improved surface tension model at the top of the melt   inevitable  measurement  errors.  This  limitation  impinges
            pool. Zhang et al.  studied the effect of sulfur content on   upon the interpretability, applicability, generalizability,
                          2
            track geometry, discovering that an increase in sulfur   and transferability of ML methods in broader process
            content correlates with an increase in melt pool depth.   conditions. 7
            These studies strongly underscore the advantages of
            physics-based models, revealing underlying phenomena   Driven by the respective advantages and disadvantages
            that cannot be captured experimentally. However, physics-  inherent in physics-based simulation and ML, this
            based  models  are  innately  biased  due  to  assumptions   paper advocates for the integration of physics-based and
            made to reduce the complexity of modeling the process.    experiment-based datasets using ML. In addition, the
                                                          7
            Furthermore, numerical models demand the calibration   extensive exploration of integrating critical in-process
            of their parameters and prove too resource-intensive for   information, such as sulfur content, with pre- and post-
            real-time forecasting.  While most physics-based models   process information through physics-based simulation
                             7
            accept process parameters as input to obtain output, such   has been lacking. Consequently, the objective of this
            as fusion zone geometry, temperature fields, cooling rates,   paper is to develop an ML model leveraging data collected
            and temperature gradients, their practical use in shop floor   throughout the DED process, classifying it into pre-process,
            settings is limited owing to their nature as forward models.   in-process, and post-process data. Physics-based melt pool
            Users often seek parameters tailored to a specific cooling   simulation data were generated to capture the in-process
            rate or fusion zone geometry; however, the forward model   dataset, which includes variations of sulfur content on final
                                                               geometry. Simultaneously, an experiment was conducted
            cannot identify these process variables without undergoing   to obtain data that captured the pre-process and post-
            multiple attempts and adjustments. 8
                                                               process datasets, which included variations of process
              Machine learning (ML) has proven to be an effective   parameters on final geometry. The dataset is integrated
            alternative for addressing complex problems. 9-11  The   using  a deep learning  model  with  a specific  training
            advantage of ML includes the ability to establish   sequence. The  best-performing  deep learning model for
            relationships between process parameters and final   track geometry prediction, denoted as DL-AugExp-Sim-
            printed characteristics, encompassing microstructure, 12-14    Exp,  was  developed  through  rigorous  comparisons  with
            defects  such  as  pores  or  cracks, 7,15-18   geometrical   the performances of six other baseline models.
            characteristics, 11,17,19-22  and mechanical properties such as
            hardness,  tensile  strength,  and  fatigue. 23-25   Furthermore,   1.1. Integration of pre-process, in-process, and post-
            ML exhibits the capability to manage large, diverse, and   process information
            complex datasets, facilitating the extraction of useful   In the DED process, the information encompassing
            real-time information with ease. 8,26,27  In DED processes,   the entire procedure can be classified into pre-, in-, and


            Volume 1 Issue 1 (2024)                         45                      https://doi.org/10.36922/ijamd.2355
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