Three-dimensional modeling of the microstructure evolution during metal additive manufacturing

Abstract Prediction of microstructures of additive manufactured materials is a significant research focus to face the challenge of producing tailored components. In this work, a three-dimensional numerical model is developed to evaluate fundamentals of grain structure evolution during metal additive manufacturing. Cellular automata and finite difference methods are coupled to predict the grain structure, depending on a transient temperature field during the additive manufacturing process. Selective laser melting process that makes use of a high energy density laser beam to produce parts of highly complex shape by melting of metallic powder is examined. The predicted grain structure is consistent with the experimental data. The results obtained show that specific solidification conditions in selective laser melting and grain selection associated with competitive nature of grain growth promote the development of coarse columnar grains with the most favorable growth direction misaligned with the build direction. This results in morphological and crystallographic texture.

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

[2]  Wu Shi Ping,et al.  Numerical simulation of microstructure evolution of Ti-6Al-4V alloy in vertical centrifugal casting , 2006 .

[3]  G. Cailletaud,et al.  A finite element model for the simulation of direct metal deposition , 2014 .

[4]  G. Marsaglia.  Choosing a Point from the Surface of a Sphere , 1972 .

[5]  I. Roberts,et al.  Investigation of residual stresses in the laser melting of metal powders in additive layer manufacturing , 2012 .

[6]  S. Buyakova,et al.  Influence of the size and concentration of soft-phase inclusion agglomerates on ceramic specimen strength , 2016 .

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

[8]  Igor Smurov,et al.  Surface Morphology in Selective Laser Melting of Metal Powders , 2011 .

[9]  V. Romanova,et al.  On the numerical simulation of the microstructural evolution induced by laser additive manufacturing of steel products , 2016 .

[10]  J. Kruth,et al.  A study of the microstructural evolution during selective laser melting of Ti–6Al–4V , 2010 .

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

[12]  Tim Caffrey,et al.  Wohlers report 2013 : additive manufacturing and 3D printing state of the industry : annual worldwide progress report , 2013 .

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

[14]  Ph. Bertrand,et al.  Studying the influence of initial powder characteristics on the properties of final parts manufactured by the selective laser melting technology , 2011 .

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

[16]  Jinhui Liu,et al.  Select laser melting of W–Ni–Fe powders: simulation and experimental study , 2010 .

[17]  C. Gandin,et al.  Three-dimensional probabilistic simulation of solidification grain structures: Application to superalloy precision castings , 1993 .

[18]  Karen M. Taminger,et al.  A coupled finite element cellular automaton model to predict thermal history and grain morphology of Ti-6Al-4V during direct metal deposition (DMD) , 2016 .

[19]  C. Körner,et al.  Simulation of grain structure evolution during powder bed based additive manufacturing , 2017 .

[20]  K. Osakada,et al.  Finite element analysis of melting and solidifying processes in laser rapid prototyping of metallic powders , 1999 .

[21]  Yusheng Shi,et al.  Differences in microstructure and properties between selective laser melting and traditional manufacturing for fabrication of metal parts: A review , 2015, Frontiers of Mechanical Engineering.

[22]  Mohsen Badrossamay,et al.  Further studies in selective laser melting of stainless and tool steel powders , 2007 .

[23]  Robert W. Messler,et al.  Principles Of Welding: Processes, Physics, Chemistry And Metallurgy , 2015 .

[24]  Ian A. Ashcroft,et al.  Understanding the effect of laser scan strategy on residual stress in selective laser melting through thermo-mechanical simulation , 2016 .

[25]  Dmitry A. Zaitsev.  A generalized neighborhood for cellular automata , 2017, Theor. Comput. Sci..

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

[27]  J. Goldak,et al.  A new finite element model for welding heat sources , 1984 .

[28]  M. Rettenmayr,et al.  Perspectives for cellular automata for the simulation of dendritic solidification – A review , 2014 .

[29]  V. Romanova,et al.  Micro- and mesomechanical aspects of deformation-induced surface roughening in polycrystalline titanium , 2017 .

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

[31]  Matthew S. Dargusch,et al.  Grain-refinement mechanisms in titanium alloys , 2008 .

[32]  S. Kelly,et al.  Microstructural evolution in laser-deposited multilayer Ti-6Al-4V builds: Part I. Microstructural characterization , 2004 .

[33]  R. Qin,et al.  A Three-Dimensional Cellular Automata Model for Dendrite Growth with Various Crystallographic Orientations During Solidification , 2014, Metallurgical and Materials Transactions B.

[34]  J. Mei,et al.  Microstructure study of direct laser fabricated Ti alloys using powder and wire , 2006 .

[35]  M. Preuss,et al.  Crystallographic texture and microstructure of pulsed diode laser-deposited Waspaloy , 2009 .

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

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

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

[39]  Jing Liang,et al.  Microstructures of laser-deposited Ti–6Al–4V , 2004 .

[40]  S. S. Al-Bermani,et al.  The Origin of Microstructural Diversity, Texture, and Mechanical Properties in Electron Beam Melted Ti-6Al-4V , 2010 .

[41]  Philip B. Prangnell,et al.  Effect of build geometry on the β-grain structure and texture in additive manufacture of Ti6Al4V by selective electron beam melting , 2013 .

[42]  X. Zhan,et al.  Cellular automaton simulation of grain growth with different orientation angles during solidification process , 2008 .

[43]  V. Golovko,et al.  Numerical modeling and prediction of weld microstructure in high-strength steel welding (Review) , 2014 .

[44]  Amrita Basak,et al.  Epitaxy and Microstructure Evolution in Metal Additive Manufacturing , 2016 .

[45]  Christopher Tuck,et al.  On the Texture Formation of Selective Laser Melted Ti-6Al-4V , 2014, Metallurgical and Materials Transactions A.

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

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

[48]  V. V. Plochikhine,et al.  Effects of latent heat of fusion on thermal processes in laser welding of aluminium alloys , 2005 .

[49]  Boris Wilthan,et al.  Thermophysical Properties of Solid and Liquid Ti-6Al-4V (TA6V) Alloy , 2006 .

[50]  F. Bechmann,et al.  Computer Aided Optimisation of the Thermal Management During Laser Beam Melting Process , 2014 .

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

[52]  A. Smolin,et al.  Probabilistic Approach for Analysis of Strength of Ceramics With Different Porous Structure Based on Movable Cellular Automaton Modeling , 2016 .

[53]  Matthew S. Dargusch,et al.  Controlling the microstructure and properties of wire arc additive manufactured Ti–6Al–4V with trace boron additions , 2015 .

[54]  Todd Palmer,et al.  Anisotropic tensile behavior of Ti-6Al-4V components fabricated with directed energy deposition additive manufacturing , 2015 .

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

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