skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Sparse thermal data for cellular automata modeling of grain structure in additive manufacturing

Journal Article · · Modelling and Simulation in Materials Science and Engineering

Grain growth in the wake of the melt pool formed during alloy-based additive manufacturing (AM) is complex and multifaceted, depending on parameters governing heat transport, fluid flow, and solidification itself. Cellular automata (CA) models have proven effective in providing computationally efficient and physically sound predictions of grain structure for several AM problems, but their efficiency is tied to the performance of heat transport models. CA models use only a small portion of the problem's temperature data (near the moving melt pool boundary), and much of the CA calculations do not affect the final result due to re-melting of material. Coupling of and communication between heat transport and solidification models, and eliminating operations irrelevant towards final grain structure prediction, will be necessary for using these methods for efficient simulation of large parts. We introduce a procedure of decoupling the CA from temperature field simulation, using files of relevant temperature data written by the heat transport model. This approach is validated against the standard coupling approach using data obtained through the computational fluid dynamics software OpenFOAM. Negligible differences are seen in grain size, volume, and texture distributions for multilayer simulation of test problems, while the quantity of temperature data for these test problems was reduced by four orders of magnitude (from 100s of GB to 10s of MB) and the code performance sped up by a factor of around 50. Variability in microstructure as a function of cell size, substrate, time step, and nucleation parameters is studied, and it is found that cell sizes less than or equal to 1.67 μm and sufficiently small time steps yield statistically equivalent microstructures. Finally, a potential use case for this CA approach—the layer-wise convergence in grain structure starting from extremes in initial grain size—is examined. This approach's ability to simulate expected trends in nucleation and epitaxial grain growth for large regions of microstructure, simulated independently of heat transport models themselves, should prove useful for investigation of various microstructure uncertainties and prediction of part-scale experimental results.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); Exascale Computing Project; USDOE Office of Science (SC)
Grant/Contract Number:
AC52-07NA27344; AC05-00OR22725; 17-SC-20-SC
OSTI ID:
1642368
Alternate ID(s):
OSTI ID: 1649339
Report Number(s):
LLNL-JRNL-804281; 1006368
Journal Information:
Modelling and Simulation in Materials Science and Engineering, Vol. 28, Issue 6; ISSN 0965-0393
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (60)

Effect of Solutes on Grain Refinement of As-Cast Fe-4Si Alloy journal March 2018
The influence of the enthalpy of mixing during the laser deposition of complex titanium alloys using elemental blends journal May 2003
Insight into the mechanisms of columnar to equiaxed grain transition during metallic additive manufacturing journal March 2019
Evolution of solidification texture during additive manufacturing journal November 2015
Theory of microstructural development during rapid solidification journal May 1986
Additive manufacturing of metallic components – Process, structure and properties journal March 2018
Dendritic growth journal January 1994
Understanding the Microstructure and Properties of Components Fabricated by Laser Engineered Net Shaping (LENS) journal January 2000
Rapid solidification processing and microstructure formation journal May 1994
Evolution of grain structure during laser additive manufacturing. Simulation by a cellular automata method journal September 2016
An integrated modeling of process-structure-property relationship in laser additive manufacturing of duplex titanium alloy journal June 2019
Three-dimensional modeling of the microstructure evolution during metal additive manufacturing journal January 2018
Crystallographic texture engineering through novel melt strategies via electron beam melting: Inconel 718 journal October 2014
Mesoscale multi-physics simulation of rapid solidification of Ti-6Al-4V alloy journal January 2019
A coupled Cellular Automaton–Lattice Boltzmann model for grain structure simulation during additive manufacturing journal November 2016
Understanding grain evolution in additive manufacturing through modeling journal May 2018
Additive Manufacturing of Single-Crystal Superalloy CMSX-4 Through Scanning Laser Epitaxy: Computational Modeling, Experimental Process Development, and Process Parameter Optimization journal June 2016
Microstructures and mechanical properties of electron beam-rapid manufactured Ti–6Al–4V biomedical prototypes compared to wrought Ti–6Al–4V journal February 2009
Modeling and application of continuous growth restriction factor for elucidating development of as-welded grain size journal March 2018
Thermal process maps for predicting solidification microstructure in laser fabrication of thin-wall structures journal September 2006
Experiments and simulations on solidification microstructure for Inconel 718 in powder bed fusion electron beam additive manufacturing journal January 2019
Metal Fabrication by Additive Manufacturing Using Laser and Electron Beam Melting Technologies journal January 2012
Localized melt-scan strategy for site specific control of grain size and primary dendrite arm spacing in electron beam additive manufacturing journal November 2017
Integrated Simulation Framework for Additively Manufactured Ti-6Al-4V: Melt Pool Dynamics, Microstructure, Solid-State Phase Transformation, and Microelastic Response journal June 2019
The metallurgy and processing science of metal additive manufacturing journal March 2016
Phase field simulation of powder bed-based additive manufacturing journal February 2018
Laser powder bed fusion additive manufacturing of metals; physics, computational, and materials challenges journal December 2015
3D printing of high-strength aluminium alloys journal September 2017
The Contribution of Constitutional Supercooling to Nucleation and Grain Formation journal May 2015
Prediction of microstructure in selective laser melted Ti 6Al 4V alloy by cellular automaton journal June 2018
Microstructural Control of Additively Manufactured Metallic Materials journal July 2016
Microstructures and Grain Refinement of Additive-Manufactured Ti-xW Alloys journal May 2017
Model for solute redistribution during rapid solidification journal February 1982
3D multi-layer grain structure simulation of powder bed fusion additive manufacturing journal June 2018
Additive Manufacturing and Characterization of René 80 Superalloy Processed Through Scanning Laser Epitaxy for Turbine Engine Hot-Section Component Repair: Additive Manufacturing and Characterization of journal May 2015
Modulating laser intensity profile ellipticity for microstructural control during metal additive manufacturing journal April 2017
Evolution of microstructure in laser deposited Al–11.28%Si alloy journal January 2012
Promoting the columnar to equiaxed transition and grain refinement of titanium alloys during additive manufacturing journal April 2019
Laser Repair of Superalloy Single Crystals with Varying Substrate Orientations journal May 2007
On the role of melt flow into the surface structure and porosity development during selective laser melting journal September 2015
Three-dimensional grain growth during multi-layer printing of a nickel-based alloy Inconel 718 journal January 2019
Direct numerical simulation of mechanical response in synthetic additively manufactured microstructures journal June 2018
A cellular automaton finite volume method for microstructure evolution during additive manufacturing journal May 2019
Fundamental consolidation mechanisms during selective beam melting of powders journal November 2013
Numerical microstructure prediction by a coupled finite element cellular automaton model for selective electron beam melting journal May 2019
Numerical modeling of heat-transfer and the influence of process parameters on tailoring the grain morphology of IN718 in electron beam additive manufacturing journal June 2016
Direct Macroscopic Modeling of Grain Structure and Macrosegregation with a Cellular Automaton–Finite Element Model journal February 2019
Evaluation of an Al-Ce alloy for laser additive manufacturing journal March 2017
A sensitivity analysis of the columnar-to-equiaxed transition for Ni-based superalloys in electron beam additive manufacturing journal December 2018
A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing journal January 2018
Microstructure evolution during selective laser melting of metallic materials: A review journal August 2019
Epitaxy and Microstructure Evolution in Metal Additive Manufacturing journal July 2016
Application of alloy solidification theory to cellular automata modeling of near-rapid constrained solidification journal June 2019
Multi-scale modeling of solidification and microstructure development in laser keyhole welding process for austenitic stainless steel journal February 2015
Analytical modeling of post-printing grain size in metal additive manufacturing journal January 2020
Effect of trace lanthanum hexaboride and boron additions on microstructure, tensile properties and anisotropy of Ti-6Al-4V produced by additive manufacturing journal March 2018
Nearly uniform sampling of crystal orientations journal July 2018
Steady state columnar and equiaxed growth of dendrites and eutectic journal July 1984
Effects of process variables and size-scale on solidification microstructure in beam-based fabrication of bulky 3D structures journal July 2009
Controlling the microstructure and properties of wire arc additive manufactured Ti–6Al–4V with trace boron additions journal June 2015

Similar Records

Sensitivity of cellular automata grain structure predictions for high solidification rates
Journal Article · Mon May 03 00:00:00 EDT 2021 · Computational Materials Science · OSTI ID:1642368

An OpenMP GPU-offload implementation of a non-equilibrium solidification cellular automata model for additive manufacturing
Journal Article · Thu Nov 24 00:00:00 EST 2022 · Computer Physics Communications · OSTI ID:1642368

Calibrating uncertain parameters in melt pool simulations of additive manufacturing
Journal Article · Wed Nov 23 00:00:00 EST 2022 · Computational Materials Science · OSTI ID:1642368