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Title: Uncertainty Propagation Analysis of Computational Models in Laser Powder Bed Fusion Additive Manufacturing Using Polynomial Chaos Expansions

Journal Article · · Journal of Manufacturing Science and Engineering
DOI:https://doi.org/10.1115/1.4041179· OSTI ID:1527295
 [1];  [2];  [1];  [1];  [1];  [1]
  1. Texas A & M Univ., College Station, TX (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Computational models for simulating physical phenomena during laser-based powder bed fusion additive manufacturing (L-PBF AM) processes are critical for enhancing our understanding of these phenomena, enable process optimization, and accelerate qualification and certification of AM materials and parts. It is a well-known fact that such models typically involve multiple sources of uncertainty that originate from different sources such as model parameters uncertainty, or model/code inadequacy, among many others. Uncertainty quantification (UQ) is a broad field that focuses on characterizing such uncertainties in order to maximize the benefit of these models. Although UQ has been a center theme in computational models associated with diverse fields such as computational fluid dynamics and macro-economics, it has not yet been fully exploited with computational models for advanced manufacturing. The current study introduces one among the first efforts to conduct uncertainty propagation (UP) analysis in the context of L-PBF AM. More specifically, we present a generalized polynomial chaos expansions (gPCE) framework to assess the distributions of melt pool dimensions due to uncertainty in input model parameters. We develop the methodology and then employ it to validate model predictions, both through benchmarking them against Monte Carlo (MC) methods and against experimental data acquired from an experimental testbed.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344; NNX15AD71G
OSTI ID:
1527295
Report Number(s):
LLNL-JRNL-769893; 961399
Journal Information:
Journal of Manufacturing Science and Engineering, Vol. 140, Issue 12; ISSN 1087-1357
Publisher:
ASMECopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

References (41)

An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis journal April 2010
Variance Components and Generalized Sobol' Indices journal January 2013
Mesoscale modelling of selective laser melting: Thermal fluid dynamics and microstructural evolution journal January 2017
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics journal January 2009
Polynomial Chaos-Based Analysis of Probabilistic Uncertainty in Hypersonic Flight Dynamics journal January 2010
Uncertainty propagation in CFD using polynomial chaos decomposition journal September 2006
ALGORITHM 659: implementing Sobol's quasirandom sequence generator journal March 1988
Uncertainty quantification and validation of 3D lattice scaffolds for computer-aided biomedical applications journal July 2017
Thermal behavior and densification mechanism during selective laser melting of copper matrix composites: Simulation and experiments journal March 2014
Modeling metal deposition in heat transfer analyses of additive manufacturing processes journal September 2014
The Homogeneous Chaos journal October 1938
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal January 2002
Integration of Design for Manufacturing Methods With Topology Optimization in Additive Manufacturing journal January 2017
Model Validation via Uncertainty Propagation and Data Transformations journal July 2004
Accelerated process optimization for laser-based additive manufacturing by leveraging similar prior studies journal May 2016
Overview of modelling and simulation of metal powder bed fusion process at Lawrence Livermore National Laboratory journal November 2014
Laser powder-bed fusion additive manufacturing: Physics of complex melt flow and formation mechanisms of pores, spatter, and denudation zones journal April 2016
Global sensitivity analysis using polynomial chaos expansions journal July 2008
In situ absorptivity measurements of metallic powders during laser powder-bed fusion additive manufacturing journal December 2017
Density of additively-manufactured, 316L SS parts using laser powder-bed fusion at powers up to 400 W journal May 2014
Finite Element Simulation of Selective Laser Melting process considering Optical Penetration Depth of laser in powder bed journal January 2016
Prediction of porosity in metal-based additive manufacturing using spatial Gaussian process models journal October 2016
Simulation of Laser Beam Melting of Steel Powders using the Three-Dimensional Volume of Fluid Method journal January 2013
Solutions for modelling moving heat sources in a semi-infinite medium and applications to laser material processing journal November 2007
Numerical Modeling of Metal-Based Additive Manufacturing Using Level Set Methods journal April 2017
Investigations on Temperature Fields during Laser Beam Melting by Means of Process Monitoring and Multiscale Process Modelling journal January 2014
Laser Transformation Hardening journal February 2002
Multiscale Modeling of Powder Bed–Based Additive Manufacturing journal July 2016
In-Process Monitoring of Selective Laser Melting: Spatial Detection of Defects Via Image Data Analysis journal November 2016
A three-dimensional finite element analysis of the temperature field during laser melting of metal powders in additive layer manufacturing journal October 2009
Predicting Microstructure From Thermal History During Additive Manufacturing for Ti-6Al-4V journal June 2016
A Review on Process Monitoring and Control in Metal-Based Additive Manufacturing journal October 2014
Data mining and statistical inference in selective laser melting journal January 2016
Finite element analysis of single layer forming on metallic powder bed in rapid prototyping by selective laser processing journal January 2002
Laser powder bed fusion additive manufacturing of metals; physics, computational, and materials challenges journal December 2015
An Integrated Approach to Additive Manufacturing Simulations Using Physics Based, Coupled Multiscale Process Modeling journal October 2014
Gaussian process-based surrogate modeling framework for process planning in laser powder-bed fusion additive manufacturing of 316L stainless steel journal September 2017
Numerical and experimental analysis of heat distribution in the laser powder bed fusion of Ti-6Al-4V journal June 2018
3D FE simulation for temperature evolution in the selective laser sintering process journal February 2004
Bayesian calibration of computer models journal August 2001
Regularization and variable selection via the elastic net journal April 2005

Cited By (6)

Uncertainty Quantification in Metallic Additive Manufacturing Through Physics-Informed Data-Driven Modeling journal June 2019
Uncertainty analysis of microsegregation during laser powder bed fusion journal February 2019
Uncertainty quantification of grain morphology in laser direct metal deposition journal April 2019
A Review of Model Inaccuracy and Parameter Uncertainty in Laser Powder Bed Fusion Models and Simulations journal February 2019
Chaotic Signatures Exhibited by Plasmonic Effects in Au Nanoparticles with Cells journal October 2019
Uncertainty Analysis of Microsegregation during Laser Powder Bed Fusion text January 2019

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