Inferring grain boundary structure–property relations from effective property measurements
Abstract
Grain boundaries strongly affect many materials properties in polycrystalline materials. Yet, very few structure–property models exist for grain boundaries, due in large part to the complicated and poorly understood way in which the properties of grain boundaries vary with their crystallographic structure. Here, we infer grain boundary structure–property correlations from measurements of the effective properties of a polycrystal. We refer to this method as grain boundary properties localization. We apply this technique to a simple model system of grain boundary diffusivity in a two-dimensional microstructure, and infer the properties of low- and high-angle grain boundaries from the effective diffusivity of the grain boundary network. The generalization and use of these methods could greatly reduce the computational and experimental effort required to establish structure–property correlations for grain boundaries. More broadly, the technique of properties localization could be used to infer the properties of many microstructural constituents in complex microstructures.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Univ. of Alabama, Tuscaloosa, AL (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1557826
- Grant/Contract Number:
- SC0008926
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Materials Science
- Additional Journal Information:
- Journal Volume: 50; Journal Issue: 21; Journal ID: ISSN 0022-2461
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; Localization Problem; Effective Diffusivity; Percolation Threshold; Triple Junction; Effective Property
Citation Formats
Johnson, Oliver K., Li, Lin, Demkowicz, Michael J., and Schuh, Christopher A. Inferring grain boundary structure–property relations from effective property measurements. United States: N. p., 2015.
Web. doi:10.1007/s10853-015-9241-4.
Johnson, Oliver K., Li, Lin, Demkowicz, Michael J., & Schuh, Christopher A. Inferring grain boundary structure–property relations from effective property measurements. United States. https://doi.org/10.1007/s10853-015-9241-4
Johnson, Oliver K., Li, Lin, Demkowicz, Michael J., and Schuh, Christopher A. Tue .
"Inferring grain boundary structure–property relations from effective property measurements". United States. https://doi.org/10.1007/s10853-015-9241-4. https://www.osti.gov/servlets/purl/1557826.
@article{osti_1557826,
title = {Inferring grain boundary structure–property relations from effective property measurements},
author = {Johnson, Oliver K. and Li, Lin and Demkowicz, Michael J. and Schuh, Christopher A.},
abstractNote = {Grain boundaries strongly affect many materials properties in polycrystalline materials. Yet, very few structure–property models exist for grain boundaries, due in large part to the complicated and poorly understood way in which the properties of grain boundaries vary with their crystallographic structure. Here, we infer grain boundary structure–property correlations from measurements of the effective properties of a polycrystal. We refer to this method as grain boundary properties localization. We apply this technique to a simple model system of grain boundary diffusivity in a two-dimensional microstructure, and infer the properties of low- and high-angle grain boundaries from the effective diffusivity of the grain boundary network. The generalization and use of these methods could greatly reduce the computational and experimental effort required to establish structure–property correlations for grain boundaries. More broadly, the technique of properties localization could be used to infer the properties of many microstructural constituents in complex microstructures.},
doi = {10.1007/s10853-015-9241-4},
journal = {Journal of Materials Science},
number = 21,
volume = 50,
place = {United States},
year = {Tue Jul 21 00:00:00 EDT 2015},
month = {Tue Jul 21 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Apparatus for producing ultraclean bicrystals by the molecular beam epitaxy growth and ultrahigh vacuum bonding of thin films
journal, October 1993
- Amiri‐Hezaveh, A.; Balluffi, R. W.
- Review of Scientific Instruments, Vol. 64, Issue 10
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
Characterization methods of grain boundary and triple junction distributions
journal, March 2004
- Yi, Y. S.; Kim, J. S.
- Scripta Materialia, Vol. 50, Issue 6
Comparing grain boundary energies in face-centered cubic metals: Al, Au, Cu and Ni
journal, November 2010
- Holm, Elizabeth A.; Olmsted, David L.; Foiles, Stephen M.
- Scripta Materialia, Vol. 63, Issue 9
Grain Boundary Networks
book, January 2009
- Reed, Bryan W.; Schuh, Christopher A.
- Electron Backscatter Diffraction in Materials Science
Wafer direct bonding: tailoring adhesion between brittle materials
journal, March 1999
- Plößl, A.
- Materials Science and Engineering: R: Reports, Vol. 25, Issue 1-2
Second-Order Microstructure Sensitive Design Using 2-Point Spatial Correlations
book, January 2009
- Fullwood, David T.; Kalidindi, Surya R.; Adams, Brent L.
- Electron Backscatter Diffraction in Materials Science
Grain boundary networks: Scaling laws, preferred cluster structure, and their implications for grain boundary engineering
journal, September 2005
- Frary, M.; Schuh, C.
- Acta Materialia, Vol. 53, Issue 16
Improving the weldability and service performance of nickel-and iron-based superalloys by grain boundary engineering
journal, December 1998
- Lehockey, E. M.; Palumbo, G.; Lin, P.
- Metallurgical and Materials Transactions A, Vol. 29, Issue 12
Analysis of grain boundary networks and their evolution during grain boundary engineering
journal, February 2003
- Schuh, Christopher A.; Kumar, Mukul; King, Wayne E.
- Acta Materialia, Vol. 51, Issue 3
Five-Parameter Grain Boundary Inclination Recovery with EBSD and Interaction Volume Models
journal, June 2014
- Sorensen, Caroline; Basinger, John A.; Nowell, Matthew M.
- Metallurgical and Materials Transactions A, Vol. 45, Issue 9
Calibration of elastic localization tensors to finite element models: Application to cubic polycrystals
journal, December 2007
- Duvvuru, Hari K.; Wu, Xianping; Kalidindi, Surya R.
- Computational Materials Science, Vol. 41, Issue 2
Spectral representation of higher-order localization relationships for elastic behavior of polycrystalline cubic materials
journal, September 2008
- Kalidindi, Surya R.; Landi, Giacomo; Fullwood, David T.
- Acta Materialia, Vol. 56, Issue 15
A new spectral framework for establishing localization relationships for elastic behavior of composites and their calibration to finite-element models
journal, June 2008
- Binci, Massimiliano; Fullwood, David; Kalidindi, Surya R.
- Acta Materialia, Vol. 56, Issue 10
Triple junction and grain boundary character distributions in metallic materials
journal, August 1997
- Fortier, P.; Miller, W. A.; Aust, K. T.
- Acta Materialia, Vol. 45, Issue 8
The correct modelling of the second order terms of the complex AC conductivity results for continuum percolation media, using a single phenomenological equation
journal, October 2003
- McLachlan, D. S.; Chiteme, C.; Heiss, W. D.
- Physica B: Condensed Matter, Vol. 338, Issue 1-4
An equation for the conductivity of binary mixtures with anisotropic grain structures
journal, March 1987
- McLachlan, D. S.
- Journal of Physics C: Solid State Physics, Vol. 20, Issue 7
Measurement of grain‐boundary diffusion at low temperatures by the surface accumulation method. I. Method and analysis
journal, March 1979
- Hwang, J. C. M.; Balluffi, R. W.
- Journal of Applied Physics, Vol. 50, Issue 3
Measurement of single-crystal elastic constants by neutron diffraction from polycrystals
journal, August 1999
- Howard, C. J.; Kisi, E. H.
- Journal of Applied Crystallography, Vol. 32, Issue 4
Diffusion along [001] tilt boundaries in the Au/Ag system—I. Experimental results
journal, January 1993
- Ma, Qing; Balluffi, R. W.
- Acta Metallurgica et Materialia, Vol. 41, Issue 1
Determination of single-crystal elastic constants from a cubic polycrystalline aggregate
journal, December 1985
- Hayakawa, M.; Imai, S.; Oka, M.
- Journal of Applied Crystallography, Vol. 18, Issue 6
Formulation and calibration of higher-order elastic localization relationships using the MKS approach
journal, June 2011
- Fast, Tony; Kalidindi, Surya R.
- Acta Materialia, Vol. 59, Issue 11
The uncorrelated triple junction distribution function: Towards grain boundary network design
journal, May 2013
- Johnson, Oliver K.; Schuh, Christopher A.
- Acta Materialia, Vol. 61, Issue 8
Determination of single crystals' elastic constants from the measurement of ultrasonic velocity in the polycrystalline material
journal, December 1992
- Li, D. Y.; Szpunar, J. A.
- Acta Metallurgica et Materialia, Vol. 40, Issue 12
Three-Dimensional Texture Analysis
journal, September 2005
- Mulders, J. J. L.; Day, A. P.
- Materials Science Forum, Vol. 495-497
Adaptive reconstruction method for three-dimensional orientation imaging
journal, March 2013
- Li, S. F.; Suter, R. M.
- Journal of Applied Crystallography, Vol. 46, Issue 2
Synthesis of feldspar bicrystals by direct bonding
journal, November 2001
- Heinemann, S.; Wirth, R.; Dresen, G.
- Physics and Chemistry of Minerals, Vol. 28, Issue 10
Survey of computed grain boundary properties in face-centered cubic metals—II: Grain boundary mobility
journal, August 2009
- Olmsted, David L.; Holm, Elizabeth A.; Foiles, Stephen M.
- Acta Materialia, Vol. 57, Issue 13
Correlated grain-boundary distributions in two-dimensional networks
journal, June 2007
- Mason, Jeremy K.; Schuh, Christopher A.
- Acta Crystallographica Section A Foundations of Crystallography, Vol. 63, Issue 4
Forward modeling method for microstructure reconstruction using x-ray diffraction microscopy: Single-crystal verification
journal, December 2006
- Suter, R. M.; Hennessy, D.; Xiao, C.
- Review of Scientific Instruments, Vol. 77, Issue 12
Dislocation sub-boundary arrays in oriented thin-film bicrystals of gold
journal, September 1969
- Schober, T.; Balluffi, R. W.
- Philosophical Magazine, Vol. 20, Issue 165
Connectivity and percolation behaviour of grain boundary networks in three dimensions
journal, April 2005
- Frary, M.; Schuh *, C. A.
- Philosophical Magazine, Vol. 85, Issue 11
Modifications to the microstructural topology in f.c.c. materials through thermomechanical processing
journal, May 2000
- Kumar, Mukul; King, Wayne E.; Schwartz, Adam J.
- Acta Materialia, Vol. 48, Issue 9
Three-dimensional grain mapping by x-ray diffraction contrast tomography and the use of Friedel pairs in diffraction data analysis
journal, March 2009
- Ludwig, W.; Reischig, P.; King, A.
- Review of Scientific Instruments, Vol. 80, Issue 3
Diffusion on grain boundary networks: Percolation theory and effective medium approximations
journal, October 2006
- Chen, Y.; Schuh, C.
- Acta Materialia, Vol. 54, Issue 18
Grain boundary energy function for fcc metals
journal, February 2014
- Bulatov, Vasily V.; Reed, Bryan W.; Kumar, Mukul
- Acta Materialia, Vol. 65
Computer simulation study of grain boundary and triple junction distributions in microstructures formed by multiple twinning
journal, June 1995
- Gertsman, V. Y.; Tangri, K.
- Acta Metallurgica et Materialia, Vol. 43, Issue 6
Epitaxial YBa2Cu3O7 on Biaxially Textured Nickel (001): An Approach to Superconducting Tapes with High Critical Current Density
journal, November 1996
- Norton, D. P.; Goyal, A.; Budai, J. D.
- Science, Vol. 274, Issue 5288
Non-destructive analysis of micro texture and grain boundary character from X-ray diffraction contrast tomography
journal, February 2010
- King, A.; Herbig, M.; Ludwig, W.
- Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 268, Issue 3-4
On the multiplicity of structures and grain boundaries
journal, February 1983
- Vitek, V.; Sutton, A. P.
- Scripta Metallurgica, Vol. 17, Issue 2
A high-resolution serial sectioning specimen preparation technique for application to electron backscatter diffraction
journal, July 2001
- Wall, Mark A.; Schwartz, Adam J.; Nguyen, Lan
- Ultramicroscopy, Vol. 88, Issue 2
Multiplicity of Grain Boundary Structures : Vacancies in Boundaries and Transformations of the Boundary Structure
journal, April 1985
- Vitek, V.; Minonishi, Y.; Wang, G. -J.
- Le Journal de Physique Colloques, Vol. 46, Issue C4
3D Crystallographic and morphological analysis of coarse martensite: Combining EBSD and serial sectioning
journal, July 2006
- Rowenhorst, D. J.; Gupta, A.; Feng, C. R.
- Scripta Materialia, Vol. 55, Issue 1
Grain boundary energy anisotropy: a review
journal, September 2011
- Rohrer, Gregory S.
- Journal of Materials Science, Vol. 46, Issue 18
Correlation-space description of the percolation transition in composite microstructures
journal, October 2007
- Frary, Megan E.; Schuh, Christopher A.
- Physical Review E, Vol. 76, Issue 4
Bicrystal growth and characterization of copper twist grain boundaries
journal, January 2001
- Schwarz, S. M.; Houge, E. C.; Giannuzzi, L. A.
- Journal of Crystal Growth, Vol. 222, Issue 1-2
Survey of computed grain boundary properties in face-centered cubic metals: I. Grain boundary energy
journal, August 2009
- Olmsted, David L.; Foiles, Stephen M.; Holm, Elizabeth A.
- Acta Materialia, Vol. 57, Issue 13
Triple junction distribution profiles as assessed by electron backscatter diffraction
journal, January 2002
- Davies, P.; Randle, V.; Watkins, G.
- Journal of Materials Science, Vol. 37, Issue 19, p. 4203-4209
Three-dimensional maps of grain boundaries and the stress state of individual grains in polycrystals and powders
journal, November 2001
- Poulsen, H. F.; Nielsen, S. F.; Lauridsen, E. M.
- Journal of Applied Crystallography, Vol. 34, Issue 6
On improving the corrosion and growth resistance of positive Pb-acid battery grids by grain boundary engineering
journal, March 1999
- Lehockey, E. M.; Limoges, D.; Palumbo, G.
- Journal of Power Sources, Vol. 78, Issue 1-2
Percolation and Conduction
journal, October 1973
- Kirkpatrick, Scott
- Reviews of Modern Physics, Vol. 45, Issue 4, p. 574-588
On the creep behaviour of grain boundary engineered nickel 1
journal, September 1997
- Lehockey, E. M.; Palumbo, G.
- Materials Science and Engineering: A, Vol. 237, Issue 2
The dual role of coherent twin boundaries in hydrogen embrittlement
journal, February 2015
- Seita, Matteo; Hanson, John P.; Gradečak, Silvija
- Nature Communications, Vol. 6, Issue 1
Grain boundary and volume diffusion experiments in yttrium aluminium garnet bicrystals at 1,723 K: a miniaturized study
journal, March 2011
- Marquardt, Katharina; Petrishcheva, Elena; Gardés, Emmanuel
- Contributions to Mineralogy and Petrology, Vol. 162, Issue 4
A Discrete Fourier Transform Framework for Localization Relations
journal, January 2009
- Fullwood, D. T.; Kalidindi, S. R.; Adams, B. L.
- Computers, Materials & Continua
Thermo-Elastic Localization Relationships for Multi-Phase Composites
journal, January 2010
- Landi, Giacomo; Kalidindi, Surya R.
- Computers, Materials and Continua
Works referencing / citing this record:
Grain boundary structure–property model inference using polycrystals: the overdetermined case
journal, October 2019
- Kurniawan, Christian; Baird, Sterling; Fullwood, David T.
- Journal of Materials Science, Vol. 55, Issue 4