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Materials Science in

                                                                  Additive Manufacturing



                                        ORIGINAL RESEARCH ARTICLE
                                        Gaussian process-based interpretable prediction

                                        of melt track morphology through melt pool in
                                        additive manufacturing



                                                                                                         1,2
                                        Xin Lin 1  , Shilin Liu 1  , Haodong Chen 1  , Jinrong Mao 1  , and Kunpeng Zhu *
                                        1 Precision Manufacturing Institute, Wuhan University of Science and Technology, Wuhan, Hubei,
                                        China
                                        2 Institute of Intelligent Machines, Hefei Institutes of Physical Science, Chinese Academy of Sciences,
                                        Hefei, Anhui, China
                                        (This article belongs to the Special Issue: Smart Additive Manufacturing: Product and Process
                                        Qualification through Innovation in Design, Modeling, Monitoring, Machine Learning, Metrology, and
                                        Materials Science)



                                        Abstract

                                        Melt track monitoring in the laser powder bed fusion (LPBF) process is crucial for
                                        preventing internal defects in as-printed parts. Uncontrollable melt pool dynamic
                                        behavior easily leads to melt track morphology defects. Existing monitoring methods
                                        face challenges in balancing modeling accuracy and physical interpretability.
                                        Specifically, traditional physics-based models typically require complex monitoring
                                        equipment, extensive simulation data, and empirical formulas, resulting in high costs
                                        and limited applicability. Meanwhile, conventional data-driven models lack physical
            *Corresponding author:
            Kunpeng Zhu                 constraints, leading to insufficient interpretability, process parameter sensitivity,
            (zhukp@iamt.ac.cn)          and poor generalization. To address these challenges, this article proposes a deep
            Citation: Lin X, Liu S, Chen H,   Gaussian process-based method for LPBF melt track morphology prediction. The
            Mao J, Zhu K. Gaussian process-  proposed model employs kernel functions in the first layer to learn melt pool evolution
            based interpretable prediction of   patterns and embeds the Rosenthal equation into the second-layer kernel function
            melt track morphology through melt
            pool in additive manufacturing.   as a physical constraint, constructing a physically interpretable multilayer Gaussian
            Mater Sci Add Manuf.        process framework. Finally, a softmax classifier based on melt track geometric
            2025;4(3):025200030.        deviation achieves five-category melt track morphology recognition. Multi-condition
            doi: 10.36922/MSAM025200030
                                        experimental results demonstrated that the proposed method achieved root mean
            Received: May 12, 2025      square errors of 0.069,  0.020, and 0.039 for melt track geometry, outperforming
            Revised: June 5, 2025       traditional data-driven models in prediction accuracy. The classification accuracy
                                        reached 90.76%. Furthermore, the influence of different features on melt track
            Accepted: June 8, 2025
                                        morphology is quantified through time-lagged mutual information analysis and
            Published online: July 17, 2025  other visualization methods. This study provides an effective solution for achieving
            Copyright: © 2025 Author(s).   quality monitoring and defect prediction in the LPBF process.
            This is an Open-Access article
            distributed under the terms of the
            Creative Commons Attribution   Keywords: Laser powder bed fusion; Deep Gaussian process; Morphology prediction;
            License, permitting distribution,   Physical constraint; Melt pool monitoring
            and reproduction in any medium,
            provided the original work is
            properly cited.
            Publisher’s Note: AccScience
            Publishing remains neutral with   1. Introduction
            regard to jurisdictional claims in
            published maps and institutional   Additive  manufacturing  (AM)  technology has  made  remarkable  developments  in
            affiliations.               the manufacturing field in recent years and is an innovative approach that surpassed

            Volume 4 Issue 3 (2025)                         1                         doi: 10.36922/MSAM025200030
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