Machine Learning–Based Reduce Order Crystal Plasticity Modeling for ICME Applications
Abstract
Abstract Crystal plasticity simulation is a widely used technique for studying the deformation processing of polycrystalline materials. However, inclusion of crystal plasticity simulation into design paradigms such as integrated computational materials engineering (ICME) is hindered by the computational cost of large-scale simulations. In this work, we present a machine learning (ML) framework using the material information platform, Open Citrination, to develop and calibrate a reduced order crystal plasticity model for face-centered cubic (FCC) polycrystalline materials, which can be both rapidly exercised and easily inverted. The reduced order model takes crystallographic texture, constitutive model parameters, and loading condition as inputs and returns the stress-strain curve and final texture. The model can also be inverted and take a stress-strain curve, loading condition, and final texture as inputs and return the initial texture and constitutive model parameters as outputs. Principal component analysis (PCA) is used to develop an efficient description of the crystallographic texture. A viscoplastic self-consistent (VPSC) crystal plasticity solver is used to create the training data by modeling the stress-strain behavior and evolution of texture during deformation processing.
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1780461
- Grant/Contract Number:
- FE0027776
- Resource Type:
- Published Article
- Journal Name:
- Integrating Materials and Manufacturing Innovation
- Additional Journal Information:
- Journal Name: Integrating Materials and Manufacturing Innovation Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 2193-9764
- Publisher:
- Springer Science + Business Media
- Country of Publication:
- Germany
- Language:
- English
Citation Formats
Yuan, Mengfei, Paradiso, Sean, Meredig, Bryce, and Niezgoda, Stephen R. Machine Learning–Based Reduce Order Crystal Plasticity Modeling for ICME Applications. Germany: N. p., 2018.
Web. doi:10.1007/s40192-018-0123-x.
Yuan, Mengfei, Paradiso, Sean, Meredig, Bryce, & Niezgoda, Stephen R. Machine Learning–Based Reduce Order Crystal Plasticity Modeling for ICME Applications. Germany. https://doi.org/10.1007/s40192-018-0123-x
Yuan, Mengfei, Paradiso, Sean, Meredig, Bryce, and Niezgoda, Stephen R. Tue .
"Machine Learning–Based Reduce Order Crystal Plasticity Modeling for ICME Applications". Germany. https://doi.org/10.1007/s40192-018-0123-x.
@article{osti_1780461,
title = {Machine Learning–Based Reduce Order Crystal Plasticity Modeling for ICME Applications},
author = {Yuan, Mengfei and Paradiso, Sean and Meredig, Bryce and Niezgoda, Stephen R.},
abstractNote = {Abstract Crystal plasticity simulation is a widely used technique for studying the deformation processing of polycrystalline materials. However, inclusion of crystal plasticity simulation into design paradigms such as integrated computational materials engineering (ICME) is hindered by the computational cost of large-scale simulations. In this work, we present a machine learning (ML) framework using the material information platform, Open Citrination, to develop and calibrate a reduced order crystal plasticity model for face-centered cubic (FCC) polycrystalline materials, which can be both rapidly exercised and easily inverted. The reduced order model takes crystallographic texture, constitutive model parameters, and loading condition as inputs and returns the stress-strain curve and final texture. The model can also be inverted and take a stress-strain curve, loading condition, and final texture as inputs and return the initial texture and constitutive model parameters as outputs. Principal component analysis (PCA) is used to develop an efficient description of the crystallographic texture. A viscoplastic self-consistent (VPSC) crystal plasticity solver is used to create the training data by modeling the stress-strain behavior and evolution of texture during deformation processing.},
doi = {10.1007/s40192-018-0123-x},
journal = {Integrating Materials and Manufacturing Innovation},
number = 4,
volume = 7,
place = {Germany},
year = {Tue Dec 18 00:00:00 EST 2018},
month = {Tue Dec 18 00:00:00 EST 2018}
}
https://doi.org/10.1007/s40192-018-0123-x
Works referenced in this record:
Perspective: Materials informatics and big data: Realization of the “fourth paradigm” of science in materials science
journal, April 2016
- Agrawal, Ankit; Choudhary, Alok
- APL Materials, Vol. 4, Issue 5
Microstructure sensitive design for performance optimization
journal, August 2010
- Fullwood, David T.; Niezgoda, Stephen R.; Adams, Brent L.
- Progress in Materials Science, Vol. 55, Issue 6
High-Dimensional Materials and Process Optimization Using Data-Driven Experimental Design with Well-Calibrated Uncertainty Estimates
journal, July 2017
- Ling, Julia; Hutchinson, Maxwell; Antono, Erin
- Integrating Materials and Manufacturing Innovation, Vol. 6, Issue 3
Materials Data Infrastructure: A Case Study of the Citrination Platform to Examine Data Import, Storage, and Access
journal, June 2016
- O’Mara, Jordan; Meredig, Bryce; Michel, Kyle
- JOM, Vol. 68, Issue 8
Principal component analysis: Principal component analysis
journal, June 2010
- Abdi, Hervé; Williams, Lynne J.
- Wiley Interdisciplinary Reviews: Computational Statistics, Vol. 2, Issue 4
A self-consistent viscoplastic model: prediction of rolling textures of anisotropic polycrystals
journal, February 1994
- Lebensohn, R. A.; Tomé, C. N.
- Materials Science and Engineering: A, Vol. 175, Issue 1-2
Microstructure-sensitive design of a compliant beam
journal, August 2001
- Adams, B. L.; Henrie, A.; Henrie, B.
- Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 8
Understanding and visualizing microstructure and microstructure variance as a stochastic process
journal, September 2011
- Niezgoda, Stephen R.; Yabansu, Yuksel C.; Kalidindi, Surya R.
- Acta Materialia, Vol. 59, Issue 16
A self-consistent mechanics of composite materials
journal, August 1965
- Hill, R.
- Journal of the Mechanics and Physics of Solids, Vol. 13, Issue 4
The elastic field outside an ellipsoidal inclusion
journal, October 1959
- Eshelby, John Douglas
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 252, Issue 1271, p. 561-569
Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations
journal, August 2007
- Lebensohn, R. A.; Tomé, C. N.; CastaÑeda, P. Ponte
- Philosophical Magazine, Vol. 87, Issue 28
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications
journal, February 2010
- Roters, F.; Eisenlohr, P.; Hantcherli, L.
- Acta Materialia, Vol. 58, Issue 4
Procedures for construction of anisotropic elastic–plastic property closures for face-centered cubic polycrystals using first-order bounding relations
journal, August 2006
- Proust, G.; Kalidindi, S.
- Journal of the Mechanics and Physics of Solids, Vol. 54, Issue 8
Machine Learning, a Probabilistic Perspective
journal, April 2014
- Robert, Christian
- CHANCE, Vol. 27, Issue 2
Calculating anisotropic physical properties from texture data using the MTEX open-source package
journal, January 2011
- Mainprice, David; Hielscher, Ralf; Schaeben, Helmut
- Geological Society, London, Special Publications, Vol. 360, Issue 1
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
journal, July 1998
- Schölkopf, Bernhard; Smola, Alexander; Müller, Klaus-Robert
- Neural Computation, Vol. 10, Issue 5
Computational Design of Hierarchically Structured Materials
journal, August 1997
- Olson, G. B.
- Science, Vol. 277, Issue 5330
Parameter identification of an elasto-plastic behaviour using artificial neural networks–genetic algorithm method
journal, January 2011
- Aguir, Hamdi; BelHadjSalah, Hédi; Hambli, Ridha
- Materials & Design, Vol. 32, Issue 1
Crystallographic texture evolution in bulk deformation processing of FCC metals
journal, January 1992
- Kalidindi, S. R.; Bronkhorst, C. A.; Anand, L.
- Journal of the Mechanics and Physics of Solids, Vol. 40, Issue 3
Spectral calibration of crystal plasticity models
journal, April 2006
- Kalidindi, Surya R.; Duvvuru, Hari K.; Knezevic, Marko
- Acta Materialia, Vol. 54, Issue 7
Identification of Constitutive Parameters using Hybrid ANN multi-objective optimization procedure
journal, March 2008
- Aguir, H.; Chamekh, A.; BelHadjSalah, H.
- International Journal of Material Forming, Vol. 1, Issue S1
Integrated computational materials engineering: A perspective on progress and future steps
journal, April 2011
- Allison, John
- JOM, Vol. 63, Issue 4
The determination of the elastic field of an ellipsoidal inclusion, and related problems
journal, August 1957
- Eshelby, John Douglas
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396
Micromechanical behavior and texture evolution of duplex stainless steel studied by neutron diffraction and self-consistent modeling
journal, February 2008
- Jia, N.; Lin Peng, R.; Wang, Y. D.
- Acta Materialia, Vol. 56, Issue 4
Accelerating materials property predictions using machine learning
journal, September 2013
- Pilania, Ghanshyam; Wang, Chenchen; Jiang, Xun
- Scientific Reports, Vol. 3, Issue 1
Developing constitutive model parameters via a multi-scale approach
journal, July 2016
- Anglin, B. S.; Gockel, B. T.; Rollett, A. D.
- Integrating Materials and Manufacturing Innovation, Vol. 5, Issue 1
What is principal component analysis?
journal, March 2008
- Ringnér, Markus
- Nature Biotechnology, Vol. 26, Issue 3
Kernel principal component analysis for stochastic input model generation
journal, August 2011
- Ma, Xiang; Zabaras, Nicholas
- Journal of Computational Physics, Vol. 230, Issue 19
Application of plastic potentials to strain rate sensitive and insensitive anisotropic materials
journal, January 1994
- Van Houtte, P.
- International Journal of Plasticity, Vol. 10, Issue 7
Crystal Plasticity
journal, December 1983
- Asaro, R. J.
- Journal of Applied Mechanics, Vol. 50, Issue 4b
How to Use t-SNE Effectively
journal, October 2016
- Wattenberg, Martin; Viégas, Fernanda; Johnson, Ian
- Distill, Vol. 1, Issue 10
Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements
journal, January 2012
- Segurado, Javier; Lebensohn, Ricardo A.; LLorca, Javier
- International Journal of Plasticity, Vol. 28, Issue 1
The Materials Genome Initiative: One year on
journal, August 2012
- White, Ashley
- MRS Bulletin, Vol. 37, Issue 8
Microstructure sensitive design of an orthotropic plate subjected to tensile load
journal, August 2004
- Kalidindi, Surya R.; Houskamp, Joshua R.; Lyons, Mark
- International Journal of Plasticity, Vol. 20, Issue 8-9
A statistical learning approach for the design of polycrystalline materials
journal, April 2009
- Sundararaghavan, Veera; Zabaras, Nicholas
- Statistical Analysis and Data Mining, Vol. 1, Issue 5
Novel microstructure quantification framework for databasing, visualization, and analysis of microstructure data
journal, July 2013
- Niezgoda, Stephen R.; Kanjarla, Anand K.; Kalidindi, Surya R.
- Integrating Materials and Manufacturing Innovation, Vol. 2, Issue 1
Key computational modeling issues in Integrated Computational Materials Engineering
journal, January 2013
- Panchal, Jitesh H.; Kalidindi, Surya R.; McDowell, David L.
- Computer-Aided Design, Vol. 45, Issue 1
A dynamic material library for the representation of single-phase polyhedral microstructures
journal, August 2004
- Sundararaghavan, Veeraraghavan; Zabaras, Nicholas
- Acta Materialia, Vol. 52, Issue 14
A computational procedure for rate-independent crystal plasticity
journal, April 1996
- Anand, L.; Kothari, M.
- Journal of the Mechanics and Physics of Solids, Vol. 44, Issue 4
A self consistent approach of the large deformation polycrystal viscoplasticity
journal, December 1987
- Molinari, A.; Canova, G. R.; Ahzi, S.
- Acta Metallurgica, Vol. 35, Issue 12
A multi-length scale sensitivity analysis for the control of texture-dependent properties in deformation processing
journal, September 2008
- Sundararaghavan, Veera; Zabaras, Nicholas
- International Journal of Plasticity, Vol. 24, Issue 9
Classification and reconstruction of three-dimensional microstructures using support vector machines
journal, February 2005
- Sundararaghavan, Veeraraghavan; Zabaras, Nicholas
- Computational Materials Science, Vol. 32, Issue 2
N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform
journal, August 2001
- A. Lebensohn, R.
- Acta Materialia, Vol. 49, Issue 14
Finite approximations to the second-order properties closure in single phase polycrystals
journal, August 2005
- Adams, Brent L.; Gao, Xiang (Carl); Kalidindi, Surya R.
- Acta Materialia, Vol. 53, Issue 13
A finite strain elastic–viscoplastic self-consistent model for polycrystalline materials
journal, April 2010
- Wang, H.; Wu, P. D.; Tomé, C. N.
- Journal of the Mechanics and Physics of Solids, Vol. 58, Issue 4
Fast fourier transform-based modeling for the determination of micromechanical fields in polycrystals
journal, March 2011
- Lebensohn, Ricardo A.; Rollett, Anthony D.; Suquet, Pierre
- JOM, Vol. 63, Issue 3
Using texture components in crystal plasticity finite element simulations
journal, March 2004
- Raabe, Dierk; Roters, Franz
- International Journal of Plasticity, Vol. 20, Issue 3
Comparison of finite element and fast Fourier transform crystal plasticity solvers for texture prediction
journal, October 2010
- Liu, B.; Raabe, D.; Roters, F.
- Modelling and Simulation in Materials Science and Engineering, Vol. 18, Issue 8
Microstructure informatics using higher-order statistics and efficient data-mining protocols
journal, April 2011
- Kalidindi, Surya R.; Niezgoda, Stephen R.; Salem, Ayman A.
- JOM, Vol. 63, Issue 4
Combinatorial screening for new materials in unconstrained composition space with machine learning
journal, March 2014
- Meredig, B.; Agrawal, A.; Kirklin, S.
- Physical Review B, Vol. 89, Issue 9