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Materials Science in Additive Manufacturing                                A ML model for AM PSP of Ti64



            1. Introduction                                    Kalidindi (2015) summarized the data-based methods
                                                               that related to the accelerated development of advanced
            Metal additive manufacturing (AM) technologies provide   hierarchical materials . However, this research reveals
                                                                                 [4]
            a flexible, efficient, and rapid means to fabricate complex   that  the correlation functions  and physical descriptors
            and customized products through a layer-by-layer   require high computational cost; hence, a low-dimensional
            approach. Two main categories of metal AM technologies   method needed to be explored in the PSP linkage
            predominantly used in industrial applications are powder   framework.  Popova  et  al.  (2017)  investigated  the  AM
            bed fusion (PBF) and directed energy deposition (DED).   process parameters and microstructure PSP correlations
            These processes constitute over 90% of production-grade                                  [5]
            metal AM systems installed worldwide. PBF can be divided   based on a reduced-ordered ML method . Their
            into two categories depending on the energy source and   research developed process-structure (P-S) linkage with
            processing conditions. Electron beam PBF (EB-PBF)   a low-dimensional representative of AM heterogeneous
                                                               microstructure. However, on the other side, metal AM
            requires a vacuum environment, and laser PBF (L-PBF)
            operates under an inert atmosphere. In addition, Frazier   parts’ mechanical and machining behavior had not been
            (2014) highlighted the major differences in the cooling rates   investigated. Greitemeier  et  al. (2015) noticed that the
            across metal AM processes ranging from 10  K/s in DED   chemical composition, microstructure, and mechanical
                                               3
            to 10 –10  K/s in L-PBF and EB-PBF. Interactions between   properties in AM Ti-6Al-4V are highly dependent on the
                4
                   6
                                                                          [6]
            as-AM, post-processing conditions, and final properties   AM processes . Furthermore, the uncertainty in metal
            have always been of interest, since different cooling   AM parts’ material properties and mechanical properties
            rates lead to varying material structures and mechanical   need to be understood. Hence, Markl and Körner (2016)
                    [1]
            properties . Trelewicz  et  al. (2016) found that inherent   declared that it is critical to establish a novel modeling
            differences in metal AM processing conditions directly   framework based on data science and numerical methods
            impact the cooling rate and thermal gradient during the   that can bridge to a critical knowledge gap between
            build, resulting in highly heterogeneous and AM process-  process, material microstructure, and material behavior to
            specific dominant textured microstructure (e.g., dominant   overcome the current limitations due to uncertainties in
                                                                         [7]
            columnar microstructure and microsegregation) .    PSP linkages . The present study aims to develop a novel
                                                  [2]
                                                               PSP ML model for metal Ti-6Al-4V AM alloys that can
              In metal AM production cycles, post-processing steps   accurately predict material behavior in post-processing,
            such as heat treatment and machining are often necessary   that is, machining behavior.
            to achieve desired material properties, tolerances, and
            surface finish. However, it should be noted that the unique   Li et al. (2020) clarified that titanium alloys are widely
            heterogeneous microstructure and resulting mechanical   used in multiple mechanical, aerospace, and biomedical
            properties of metal AM also significantly affect their   applications due to their high strength-to-density ratio and
                                                                                       [8]
            machinability. Hence, it is critical to investigate this   excellent corrosion resistance . However, titanium alloys
            complex interaction between grain morphology (size,   are often difficult to cast and process through subtractive
            density, orientation, residual stress, and phase fraction)   machining (e.g., strain hardening). Liu and Shin (2019)
            of metal AM parts and resulting material behavior, that   showed that metal AM technologies provide an alternative
            is, specific cutting power during machining, which is of   near-net-shape fabrication capability that allows for
            interest in this study. The goal of this study is to establish a   titanium product manufacturing to become relatively more
                                                                                                     [9]
            validated PSP linkage that could be extended to other AM   cost effective for high-performance applications . Hence,
            material properties, such as corrosion behavior, wear, and   to better understand the titanium alloys performance in the
            mechanical strength.                               AM field, a PSP linkage is required to reveal the structure
                                                               and machining behavior correlation of AM titanium alloys.
              A low-dimensional process-structure-property (PSP)
            linkage that captures the effects of processing conditions on   To build the PSP linkages, descriptors are critical
            critical material structure that ultimately affects material   components to the necessary data science-based ML
            behavior has always been of interest to the research and   approaches. These descriptors quantitatively represent
            manufacturing communities. Bostanabad  et  al. (2016)   recorded information on material microstructure using
            provided a stochastic microstructure characterization   statistical methods and appear as correlation functions,
            reconstruction method using supervised machine learning   physical descriptors, and spectral density functions for
            (ML) . The microstructure reconstruction method    a given grain morphology. Corson (1974) described the
                [3]
            in their research indicates that the correlation feature   2-point correlation function representing heterogeneous
                                                                                   [10]
            extraction methods are accurate and efficient to represent   material microstructure . However, the limitation of
            microstructure characterization statistically. Moreover,   2-point correlations in the representation of heterogeneity

            Volume 1 Issue 1 (2022)                         2                      https://doi.org/10.18063/msam.v1i1.6
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