Microstructure modelling for metallic additive manufacturing: a review

ABSTRACT The microstructure of metals depends on the additive manufacturing (AM) process and the process parameters. However, experimentation on different process parameters for different materials is costly and time-consuming. To overcome these challenges, numerical simulations provide insights that allow prediction of microstructure formed under different process parameters. Microstructure modelling requires coupling of macro-scale thermal model or experimentally measured temperature profiles with either a meso-scale or micro-scale microstructure model. In this review, the commonly used AM techniques for metals are introduced, followed by a discussion on the microstructure of parts fabricated using these processes. This review then presents the latest models used in simulating different microstructural aspects of metal AM parts. In addition, the models were compared and the potential and challenges in microstructure modelling were discussed.

[1]  R. C. Gifkins.  Grain-boundary sliding and its accommodation during creep and superplasticity , 1976 .

[2]  Wilfried Kurz,et al.  Theory of Microstructural Development during Rapid Solidification , 1986 .

[3]  Structural Steels,et al.  Welding Metallurgy of , 1987 .

[4]  C. Gandin,et al.  Probabilistic modelling of microstructure formation in solidification processes , 1993 .

[5]  C. Gandin,et al.  A coupled finite element-cellular automaton model for the prediction of dendritic grain structures in solidification processes , 1994 .

[6]  J. Warren,et al.  Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method , 1995 .

[7]  J.M.J. McDill,et al.  Automatic remeshing for three-dimensional finite element simulation of welding , 1997 .

[8]  C. Gandin,et al.  A 3D Cellular Automaton algorithm for the prediction of dendritic grain growth , 1997 .

[9]  C. Gandin,et al.  A three-dimensional cellular automation-finite element model for the prediction of solidification grain structures , 1999 .

[10]  T. DebRoy,et al.  Three dimensional Monte Carlo simulation of grain growth during GTA welding of titanium , 2000 .

[11]  K R Elder,et al.  Sharp interface limits of phase-field models. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Marcus Textor,et al.  Titanium in Medicine : material science, surface science, engineering, biological responses and medical applications , 2001 .

[13]  D. Stefanescu.  Science and Engineering of Casting Solidification , 2002 .

[14]  Long-Qing Chen.  Phase-Field Models for Microstructure Evolution , 2002 .

[15]  A. Karma,et al.  Phase-Field Simulation of Solidification , 2002 .

[16]  Peter D. Lee,et al.  A model of solidification microstructures in nickel-based superalloys: predicting primary dendrite spacing selection , 2003 .

[17]  M. Preuss,et al.  Microstructure, mechanical properties and residual stresses as a function of welding speed in aluminium AA5083 friction stir welds , 2003 .

[18]  Grain topology in Ti–6Al–4V welds—Monte Carlo simulation and experiments , 2004 .

[19]  M. Zhu,et al.  Modified cellular automaton model for the prediction of dendritic growth with melt convection. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  J. Warren,et al.  Modelling polycrystalline solidification using phase field theory , 2004 .

[21]  Won Tae Kim,et al.  Phase-field modeling of eutectic solidification , 2004 .

[22]  T. DebRoy,et al.  Measurements and Monte Carlo simulation of grain growth in the heat-affected zone of Ti–6Al–4V welds , 2004 .

[23]  B. Stinner,et al.  Multicomponent alloy solidification: phase-field modeling and simulations. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  W. Kim,et al.  Phase-Field Modeling of Solidification , 2005 .

[25]  J. Kruth,et al.  Residual stresses in selective laser sintering and selective laser melting , 2006 .

[26]  Yunfeng Cao,et al.  Multiscale modeling of solidification during laser cladding process , 2006 .

[27]  J. Kruth,et al.  Selective laser melting of biocompatible metals for rapid manufacturing of medical parts , 2006 .

[28]  A. Kokabi,et al.  Phase-field simulation of weld solidification microstructure in an Al–Cu alloy , 2008 .

[29]  Irina Singer-Loginova,et al.  The phase field technique for modeling multiphase materials , 2008 .

[30]  Y. L. Xu,et al.  Dendritic grain growth simulation in weld molten pool based on CA‐FD model , 2008 .

[31]  Sir Robert Honeycombe,et al.  12 – Stainless Steel , 2006 .

[32]  Nonlife Actuarial Models: Applications of Monte Carlo methods , 2009 .

[33]  David W. Rosen,et al.  Additive Manufacturing Technologies: Rapid Prototyping to Direct Digital Manufacturing , 2009 .

[34]  I. Steinbach.  Phase-field models in materials science , 2009 .

[35]  Martin E. Glicksman,et al.  Principles of Solidification: An Introduction to Modern Casting and Crystal Growth Concepts , 2010 .

[36]  S. Felicelli,et al.  Dendrite growth simulation during solidification in the LENS process , 2010 .

[37]  B. Baufeld,et al.  Additive manufacturing of Ti–6Al–4V components by shaped metal deposition: Microstructure and mechanical properties , 2010 .

[38]  Lai‐Chang Zhang,et al.  Grain refinement mechanism of multiple laser shock processing impacts on ANSI 304 stainless steel , 2010 .

[39]  Paul A. Colegrove,et al.  Thermo-mechanical analysis of Wire and Arc Additive Layer Manufacturing process on large multi-layer parts , 2011 .

[40]  Shaul Mordechai,et al.  Applications of Monte Carlo method in science and engineering , 2011 .

[41]  A. Khajepour,et al.  Temporal development of melt-pool morphology and clad geometry in laser powder deposition , 2011 .

[42]  Amir Khajepour,et al.  Phase-field simulation of solidification morphology in laser powder deposition of Ti-Nb alloys , 2012 .

[43]  L. Murr,et al.  Metal Fabrication by Additive Manufacturing Using Laser and Electron Beam Melting Technologies , 2012 .

[44]  J. Thuswaldner,et al.  A modified cellular automaton method for polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys , 2010 .

[45]  L. Murr,et al.  Comparison of Microstructures and Properties for a Ni-Base Superalloy ( Alloy 625 ) Fabricated by Electron and Laser Beam Melting , 2012 .

[46]  L. Murr,et al.  Comparison of Microstructures and Properties for a Ni-Base Superalloy (Alloy 625) Fabricated by Electron Beam Melting , 2012 .

[47]  Eleonora Atzeni,et al.  Economics of additive manufacturing for end-usable metal parts , 2012 .

[48]  N. Provatas,et al.  Microstructure analysis of AZ31 magnesium alloy welds using phase-field models , 2012 .

[49]  Michael Aichinger,et al.  Monte Carlo Simulation , 2013 .

[50]  Carolin Körner,et al.  Fundamental consolidation mechanisms during selective beam melting of powders , 2013 .

[51]  Michael Schmidt,et al.  Simulation of Laser Beam Melting of Steel Powders using the Three-Dimensional Volume of Fluid Method , 2013 .

[52]  Sergio D. Felicelli,et al.  Modeling dendritic solidification of Al–3%Cu using cellular automaton and phase-field methods , 2013 .

[53]  William E. Frazier,et al.  Metal Additive Manufacturing: A Review , 2014, Journal of Materials Engineering and Performance.

[54]  Jean-Pierre Kruth,et al.  In situ quality control of the selective laser melting process using a high-speed, real-time melt pool monitoring system , 2014 .

[55]  Microstructures in Solidification Simulation of Electron Beam Scanning with MC in Molten Pool , 2014 .

[56]  K. Chou,et al.  Review on Phase-Field Modeling of Microstructure Evolutions: Application to Electron Beam Additive Manufacturing , 2014 .

[57]  Robert F. Singer,et al.  Tailoring the grain structure of IN718 during selective electron beam melting , 2014 .

[58]  Moataz M. Attallah,et al.  Microstructural and texture development in direct laser fabricated IN718 , 2014 .

[59]  L. Papadakis,et al.  A computational reduction model for appraising structural effects in selective laser melting manufacturing , 2014 .

[60]  Qingyan Xu,et al.  A Modified Cellular Automaton Model for the Quantitative Prediction of Equiaxed and Columnar Dendritic Growth , 2014 .

[61]  Shuai Luo,et al.  Simulation of Microstructure during Laser Rapid Forming Solidification Based on Cellular Automaton , 2014 .

[62]  Zhi-Qiang Feng,et al.  Monte Carlo simulation of polycrystalline microstructures and finite element stress analysis , 2014 .

[63]  O. Ojo,et al.  Numerical modeling of microstructure evolution during laser additive manufacturing of a nickel-based superalloy , 2014 .

[64]  W. J. Seufzer.  Additive Manufacturing Modeling and Simulation A Literature Review for Electron Beam Free Form Fabrication , 2014 .

[65]  B. Stucker,et al.  Comparison of 3DSIM thermal modelling of selective laser melting using new dynamic meshing method to ANSYS , 2015 .

[66]  Yong Huang,et al.  Additive Manufacturing: Current State, Future Potential, Gaps and Needs, and Recommendations , 2015 .

[67]  P. Michaleris,et al.  Residual stress and distortion modeling of electron beam direct manufacturing Ti-6Al-4V , 2015 .

[68]  Andrew J. Pinkerton,et al.  Advances in the modeling of laser direct metal deposition , 2015 .

[69]  D. Gu,et al.  Molten pool behaviour and its physical mechanism during selective laser melting of TiC/AlSi10Mg nanocomposites: simulation and experiments , 2015 .

[70]  Doru M. Stefanescu.  Multiscale Modeling of Solidification , 2015 .

[71]  E. Reutzel,et al.  Thermo-mechanical model development and validation of directed energy deposition additive manufacturing of Ti–6Al–4V , 2015 .

[72]  B. Stucker,et al.  A Generalized Feed Forward Dynamic Adaptive Mesh Refinement and Derefinement Finite Element Framework for Metal Laser Sintering—Part I: Formulation and Algorithm Development , 2015 .

[73]  Xibing Gong,et al.  Phase-Field Modeling of Microstructure Evolution in Electron Beam Additive Manufacturing , 2015 .

[74]  Chee Kai Chua,et al.  Numerical investigation and an effective modelling on the Selective Laser Melting (SLM) process with aluminium alloy 6061 , 2015 .

[75]  Ryan R. Dehoff,et al.  Site specific control of crystallographic grain orientation through electron beam additive manufacturing , 2015 .

[76]  Y. S. Lee,et al.  Mesoscopic Simulation of Heat Transfer and Fluid Flow in Laser Powder Bed Additive Manufacturing , 2015 .

[77]  Chee Kai Chua,et al.  Graded microstructure and mechanical properties of additive manufactured Ti–6Al–4V via electron beam melting , 2015 .

[78]  Chee Kai Chua,et al.  3D printing and additive manufacturing : principles and applications , 2015 .

[79]  H L Wei,et al.  Evolution of solidification texture during additive manufacturing , 2015, Scientific Reports.

[80]  C. Kamath,et al.  Laser powder bed fusion additive manufacturing of metals; physics, computational, and materials challenges , 2015 .

[81]  Matthias Markl,et al.  A coupled Cellular Automaton–Lattice Boltzmann model for grain structure simulation during additive manufacturing , 2016 .

[82]  A. Rubenchik,et al.  Laser powder-bed fusion additive manufacturing: Physics of complex melt flow and formation mechanisms of pores, spatter, and denudation zones , 2015, 1512.02593.

[83]  Guilan Wang,et al.  Simulation of microstructure evolution during hybrid deposition and micro-rolling process , 2016, Journal of Materials Science.

[84]  Vasily Ploshikhin,et al.  Evolution of grain structure during laser additive manufacturing. Simulation by a cellular automata method , 2016 .

[85]  Minking K. Chyu,et al.  Finite element modeling and validation of thermomechanical behavior of Ti-6Al-4V in directed energy deposition additive manufacturing , 2016 .

[86]  K. Chou,et al.  Phase-field simulation of microstructure evolution of Ti–6Al–4V in electron beam additive manufacturing process , 2016 .

[87]  Ryan R. Dehoff,et al.  Numerical modeling of heat-transfer and the influence of process parameters on tailoring the grain morphology of IN718 in electron beam additive manufacturing ☆ , 2016 .

[88]  Orion L. Kafka,et al.  Linking process, structure, property, and performance for metal-based additive manufacturing: computational approaches with experimental support , 2016 .

[89]  C. Gandin,et al.  Three-dimensional cellular automaton-finite element modeling of solidification grain structures for arc-welding processes , 2016 .

[90]  Richard Leach,et al.  Review of in-situ process monitoring and in-situ metrology for metal additive manufacturing , 2016 .

[91]  M. Ziętala,et al.  The microstructure, mechanical properties and corrosion resistance of 316 L stainless steel fabricated using laser engineered net shaping , 2016 .

[92]  Veena Tikare,et al.  Predicting Mesoscale Microstructural Evolution in Electron Beam Welding , 2016 .

[93]  A. Foroozmehr,et al.  Finite Element Simulation of Selective Laser Melting process considering Optical Penetration Depth of laser in powder bed , 2016 .

[94]  Mohsen Seifi,et al.  Metal Additive Manufacturing: A Review of Mechanical Properties , 2016 .

[95]  Mustafa Megahed,et al.  Influence of Powder Bed Characteristics on Material Quality in Additive Manufacturing , 2017, BHM Berg- und Hüttenmännische Monatshefte.

[96]  R. LeSar,et al.  Modeling of Ti-W Solidification Microstructures Under Additive Manufacturing Conditions , 2017, Metallurgical and Materials Transactions A.

[97]  Uriel Martinez-Hernandez,et al.  Two-dimensional simulation of grain structure growth within selective laser melted AA-2024 , 2017 .

[98]  Ranadip Acharya,et al.  Prediction of microstructure in laser powder bed fusion process , 2017 .

[99]  T. Blacker,et al.  Modeling of additive manufacturing processes for metals: Challenges and opportunities , 2017 .

[100]  Moataz M. Attallah,et al.  Mesoscale modelling of selective laser melting: Thermal fluid dynamics and microstructural evolution , 2017 .

[101]  John W. Elmer,et al.  Three-dimensional modeling of grain structure evolution during welding of an aluminum alloy , 2017 .

[102]  Regina Degenhardt,et al.  Advanced Lattice Boltzmann Models for the Simulation of Additive Manufacturing Processes , 2017 .

[103]  Sheldon Wu,et al.  Modulating laser intensity profile ellipticity for microstructural control during metal additive manufacturing , 2017 .

[104]  Matthias Markl,et al.  Predictive Simulation of Process Windows for Powder Bed Fusion Additive Manufacturing: Influence of the Powder Bulk Density , 2017, Materials.

[105]  Peng Guo,et al.  Study on microstructure, mechanical properties and machinability of efficiently additive manufactured AISI 316L stainless steel by high-power direct laser deposition , 2017 .

[106]  Johan Moverare,et al.  Microstructure and mechanical properties of Inconel 718 produced by selective laser melting: Sample orientation dependence and effects of post heat treatments , 2017 .

[107]  Xinran Zhao,et al.  Numerical modeling of the thermal behavior and residual stress in the direct metal laser sintering process of titanium alloy products , 2017 .

[108]  W. Hwang,et al.  Determination and controlling of grain structure of metals after laser incidence: Theoretical approach , 2017, Scientific Reports.

[109]  Li Ma,et al.  Application of Finite Element, Phase-field, and CALPHAD-based Methods to Additive Manufacturing of Ni-based Superalloys. , 2017, Acta materialia.

[110]  V. Tikare,et al.  Simulation of metal additive manufacturing microstructures using kinetic Monte Carlo , 2017 .

[111]  Miguel Cervera,et al.  Numerical modelling and experimental validation in Selective Laser Melting , 2017 .

[112]  Yan Wang,et al.  Mesoscale Multi-Physics Simulation of Solidification in Selective Laser Melting Process Using a Phase Field and Thermal Lattice Boltzmann Model , 2017 .

[113]  Amauri Garcia,et al.  Phase-Field Simulation of Microsegregation and Dendritic Growth During Solidification of Hypoeutectic Al-Cu alloys , 2017 .

[114]  Vasily Ploshikhin,et al.  Three-dimensional modeling of the microstructure evolution during metal additive manufacturing , 2018 .

[115]  Haihong Zhu,et al.  Microstructure prediction of selective laser melting AlSi10Mg using finite element analysis , 2018 .

[116]  Wing Kam Liu,et al.  Data-driven multi-scale multi-physics models to derive process–structure–property relationships for additive manufacturing , 2018 .

[117]  Chee How Wong,et al.  Additive manufacturing process monitoring and control by non-destructive testing techniques: challenges and in-process monitoring , 2018 .

[118]  J. Eckert,et al.  Microstructure and mechanical properties of Al-Cu alloys fabricated by selective laser melting of powder mixtures , 2018 .

[119]  Zhongfa Mao,et al.  Processing optimisation, mechanical properties and microstructural evolution during selective laser melting of Cu-15Sn high-tin bronze , 2018 .

[120]  Erik R. Denlinger,et al.  Development and Numerical Verification of a Dynamic Adaptive Mesh Coarsening Strategy for Simulating Laser Power Bed Fusion Processes , 2018 .

[122]  Yong-Wei Zhang,et al.  Predictive model for porosity in powder-bed fusion additive manufacturing at high beam energy regime , 2018 .

[123]  Kui Xiao,et al.  Heat treatment effect on the microstructure and corrosion behavior of 316L stainless steel fabricated by selective laser melting for proton exchange membrane fuel cells , 2018, Electrochimica Acta.

[124]  M. Hermans,et al.  Hot cracking investigation during laser welding of high-strength steels with multi-scale modelling approach , 2018 .

[125]  Tomasz Kurzynowski,et al.  Correlation between process parameters, microstructure and properties of 316 L stainless steel processed by selective laser melting , 2018 .

[126]  Chee Kai Chua,et al.  Simultaneously enhanced strength and ductility for 3D-printed stainless steel 316L by selective laser melting , 2018, NPG Asia Materials.

[127]  A. Takaichi,et al.  Effect of heat-treatment temperature on microstructures and mechanical properties of Co–Cr–Mo alloys fabricated by selective laser melting , 2018 .

[128]  Matthias Markl,et al.  3D multi-layer grain structure simulation of powder bed fusion additive manufacturing , 2018, Acta Materialia.

[129]  Zhiheng Hu,et al.  Analysis of processing parameters and characteristics of selective laser melted high strength Al-Cu-Mg alloys: From single tracks to cubic samples , 2018, Journal of Materials Processing Technology.

[130]  M. Jamshidinia,et al.  Prediction of microstructure, residual stress, and deformation in laser powder bed fusion process , 2018 .

[131]  J. Ni,et al.  A study on the effect of energy input on spatter particles creation during selective laser melting process , 2018 .

[132]  Guoqing Wang,et al.  Thermal behavior and grain growth orientation during selective laser melting of Ti-6Al-4V alloy , 2018, Journal of Materials Processing Technology.

[133]  Supriyo Ghosh,et al.  Predictive modeling of solidification during laser additive manufacturing of nickel superalloys: recent developments, future directions , 2017, 1707.09292.

[134]  C. Shuai,et al.  Selective laser melting of Zn–Ag alloys for bone repair: microstructure, mechanical properties and degradation behaviour , 2018 .

[135]  Stephen Lin,et al.  Modeling process-structure-property relationships for additive manufacturing , 2018 .

[136]  Ji-Hun Yu,et al.  Improvement in the high-temperature creep properties via heat treatment of Ti-6Al-4V alloy manufactured by selective laser melting , 2018 .

[137]  J. Eckert,et al.  Microstructure and mechanical properties of a heat-treatable Al-3.5Cu-1.5Mg-1Si alloy produced by selective laser melting , 2018 .

[138]  T. K. Kundra,et al.  Additive Manufacturing Technologies , 2018 .

[139]  Zhanhu Guo,et al.  Microstructural evolution and mechanical properties of IN718 alloy fabricated by selective laser melting following different heat treatments , 2019, Journal of Alloys and Compounds.

[140]  M. Apel,et al.  Systematic Phase-Field Study on Microstructure Formation During Brazing of Mar-M247 with a Si-Based AMS4782 Filler , 2019, Metallurgical and Materials Transactions A.

[141]  P. Ge,et al.  An integrated modeling of process-structure-property relationship in laser additive manufacturing of duplex titanium alloy , 2019, International Journal of Thermal Sciences.

[142]  Y. Shibuta,et al.  Large-scale phase-field simulation of three-dimensional isotropic grain growth in polycrystalline thin films , 2019, Modelling and Simulation in Materials Science and Engineering.

[143]  T. Nakamoto,et al.  Microstructures and electrical and mechanical properties of Cu-Cr alloys fabricated by selective laser melting , 2019, Materials & Design.

[144]  Rui Yang,et al.  Recent progress in the simulation of microstructure evolution in titanium alloys , 2019, Progress in Natural Science: Materials International.

[145]  D. He,et al.  Thermal effect on the microstructure of the lattice structure Cu-10Sn alloy fabricated through selective laser melting , 2019, Journal of Alloys and Compounds.

[146]  Per Nylén,et al.  Microstructure modelling of laser metal powder directed energy deposition of alloy 718 , 2019, Additive Manufacturing.

[147]  Per Nylén,et al.  Predicting the Microstructural Evolution of Electron Beam Melting of Alloy 718 with Phase-Field Modeling , 2019, Metallurgical and Materials Transactions A.

[148]  Julia Mergheim,et al.  Numerical microstructure prediction by a coupled finite element cellular automaton model for selective electron beam melting , 2019, Computational Materials Science.

[149]  M. Vedani,et al.  Development of a high strength Al–Zn–Si–Mg–Cu alloy for selective laser melting , 2019, Journal of Alloys and Compounds.

[150]  I. Todd,et al.  In situ alloying of elemental Al-Cu12 feedstock using selective laser melting , 2019, Virtual and Physical Prototyping.

[151]  J. Eckert,et al.  Effect of heat treatment on microstructure and mechanical properties of 316L steel synthesized by selective laser melting , 2019, Materials Science and Engineering: A.

[152]  Zhiheng Hu,et al.  Selective Laser Melting of Cu 10Zn alloy powder using high laser power , 2019, Powder Technology.