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Title: Smoothed Boundary Method for simulating bulk and grain boundary transport in complex polycrystalline microstructures

Abstract

Grain boundaries have a major impact on material properties, but explicit consideration of the complex geometries of grain structures in simulations poses a challenge. In this paper, we present a general method for incorporating the effect of grain boundaries based on the Smoothed Boundary Method (SBM). By using multiple domain parameters to define the domains of different grains, this method circumvents time-consuming mesh generation steps that are associated with finite element calculations involving complex microstructures. To validate the approach, we evaluate the accuracy of the SBM against the sharp interface method. The capabilities of this approach were demonstrated through simulations of surface and grain boundary diffusion, as well as those of electrochemical impedance spectroscopy. We conclude this method is applicable to many material systems in which grain boundaries play a crucial role.

Authors:
 [1];  [1];  [2];  [3]; ORCiD logo [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Rutgers Univ., North Brunswick, NJ (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Northeastern Center for Chemical Energy Storage (NECCES)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
OSTI Identifier:
1387836
Alternate Identifier(s):
OSTI ID: 1326424
Grant/Contract Number:  
SC0001294; SC0012583; CI-1053575; AC02-05CH1123; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Computational Materials Science
Additional Journal Information:
Journal Volume: 121; Journal Issue: C; Related Information: NECCES partners with Stony Brook University (lead); Argonne National Laboratory; Binghamton University; Brookhaven National University; University of California, San Diego; University of Cambridge, UK; Lawrence Berkeley National Laboratory; Massachusetts Institute of Technology; University of Michigan; Rutgers University; Journal ID: ISSN 0927-0256
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; energy storage (including batteries and capacitors); defects; charge transport; materials and chemistry by design; synthesis (novel materials)

Citation Formats

Yu, Hui-Chia, Choe, Min-Ju, Amatucci, Glenn G., Chiang, Yet-Ming, and Thornton, K. Smoothed Boundary Method for simulating bulk and grain boundary transport in complex polycrystalline microstructures. United States: N. p., 2016. Web. doi:10.1016/j.commatsci.2016.04.028.
Yu, Hui-Chia, Choe, Min-Ju, Amatucci, Glenn G., Chiang, Yet-Ming, & Thornton, K. Smoothed Boundary Method for simulating bulk and grain boundary transport in complex polycrystalline microstructures. United States. https://doi.org/10.1016/j.commatsci.2016.04.028
Yu, Hui-Chia, Choe, Min-Ju, Amatucci, Glenn G., Chiang, Yet-Ming, and Thornton, K. Thu . "Smoothed Boundary Method for simulating bulk and grain boundary transport in complex polycrystalline microstructures". United States. https://doi.org/10.1016/j.commatsci.2016.04.028. https://www.osti.gov/servlets/purl/1387836.
@article{osti_1387836,
title = {Smoothed Boundary Method for simulating bulk and grain boundary transport in complex polycrystalline microstructures},
author = {Yu, Hui-Chia and Choe, Min-Ju and Amatucci, Glenn G. and Chiang, Yet-Ming and Thornton, K.},
abstractNote = {Grain boundaries have a major impact on material properties, but explicit consideration of the complex geometries of grain structures in simulations poses a challenge. In this paper, we present a general method for incorporating the effect of grain boundaries based on the Smoothed Boundary Method (SBM). By using multiple domain parameters to define the domains of different grains, this method circumvents time-consuming mesh generation steps that are associated with finite element calculations involving complex microstructures. To validate the approach, we evaluate the accuracy of the SBM against the sharp interface method. The capabilities of this approach were demonstrated through simulations of surface and grain boundary diffusion, as well as those of electrochemical impedance spectroscopy. We conclude this method is applicable to many material systems in which grain boundaries play a crucial role.},
doi = {10.1016/j.commatsci.2016.04.028},
journal = {Computational Materials Science},
number = C,
volume = 121,
place = {United States},
year = {Thu May 05 00:00:00 EDT 2016},
month = {Thu May 05 00:00:00 EDT 2016}
}

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Cited by: 8 works
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Works referenced in this record:

Grain boundary diffusion: recent progress and future research
journal, February 1999


Diffusion in nanocrystalline materials
journal, May 2003


Finite element simulation of diffusion into polycrystalline materials
journal, June 2008


Numerical Simulation Support for Diffusion Coefficient Measurements in Polycrystalline Thin Films
journal, March 2011


Three-dimensional finite element simulation of a polycrystalline copper specimen
journal, July 2007


Extended smoothed boundary method for solving partial differential equations with general boundary conditions on complex boundaries
journal, September 2012

  • Yu, Hui-Chia; Chen, Hsun-Yi; Thornton, K.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 20, Issue 7
  • DOI: 10.1088/0965-0393/20/7/075008

Calculation of Diffusion Penetration Curves for Surface and Grain Boundary Diffusion
journal, January 1951


Measurement and Modeling of the Impedance Characteristics of Porous La[sub 1−x]Sr[sub x]CoO[sub 3−δ] Electrodes
journal, January 2009

  • Lu, Yunxiang; Kreller, Cortney; Adler, Stuart B.
  • Journal of The Electrochemical Society, Vol. 156, Issue 4
  • DOI: 10.1149/1.3079337

Alternating-Direction Line-Relaxation Methods on Multicomputers
journal, March 1996

  • Hofhaus, Jörn; Van de Velde, Eric F.
  • SIAM Journal on Scientific Computing, Vol. 17, Issue 2
  • DOI: 10.1137/S1064827593253872

CXXXVIII. Concentration contours in grain boundary diffusion
journal, December 1954

  • Whipple, R. T. P.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 45, Issue 371
  • DOI: 10.1080/14786441208561131

Computer simulation of grain growth using a continuum field model
journal, February 1997


Influence of dislocations on diffusion kinetics in solids with particular reference to the alkali halides
journal, January 1961


The analysis of grain boundary diffusion measurements
journal, June 1963


The Harrison diffusion kinetics regimes in solute grain boundary diffusion
journal, May 2012


The transition from Harrison type-B to type-A kinetics in grain-boundary tracer diffusion
journal, October 2001


The Lattice Model for Addressing Phenomenological Diffusion Problems Associated with Grain Boundaries
journal, January 2003


59 Fe Grain Boundary Diffusion in Nanostructured γ-Fe–Ni : Part I: Radiotracer Experiments and Monte-Carlo Simulation in the Type-
journal, April 2002

  • Divinski, S. V.; Hisker, F.; Kang, Y. -S.
  • Zeitschrift für Metallkunde, Vol. 93, Issue 4
  • DOI: 10.3139/146.020256

The Harrison Diffusion Kinetics Regimes in Grain Boundary Diffusion: Lattice Monte Carlo Modelling of the Effect of Segregation
journal, March 2011


On the role of dislocations in bulk diffusion
journal, October 1957


Particle-Level Modeling of the Charge-Discharge Behavior of Nanoparticulate Phase-Separating Li-Ion Battery Electrodes
journal, January 2014

  • Orvananos, Bernardo; Ferguson, Todd R.; Yu, Hui-Chia
  • Journal of The Electrochemical Society, Vol. 161, Issue 4
  • DOI: 10.1149/2.024404jes

Architecture Dependence on the Dynamics of Nano-LiFePO4 Electrodes
journal, August 2014


Kinetics of Nanoparticle Interactions in Battery Electrodes
journal, January 2015

  • Orvananos, Bernardo; Yu, Hui-Chia; Abdellahi, Aziz
  • Journal of The Electrochemical Society, Vol. 162, Issue 6
  • DOI: 10.1149/2.0481506jes

Effect of a Size-Dependent Equilibrium Potential on Nano-LiFePO 4 Particle Interactions
journal, January 2015

  • Orvananos, Bernardo; Yu, Hui-Chia; Malik, Rahul
  • Journal of The Electrochemical Society, Vol. 162, Issue 9
  • DOI: 10.1149/2.0161509jes

Designing the next generation high capacity battery electrodes
journal, January 2014

  • Yu, H. -C.; Ling, C.; Bhattacharya, J.
  • Energy & Environmental Science, Vol. 7, Issue 5
  • DOI: 10.1039/c3ee43154a

A Super High Lithium Ion Conducting Solid Electrolyte of Grain Boundary Modified Li 1.4 Ti 1.6 Al 0.4 (PO 4 ) 3
journal, January 2012

  • Takahashi, K.; Ohmura, J.; Im, D.
  • Journal of The Electrochemical Society, Vol. 159, Issue 4
  • DOI: 10.1149/2.018204jes

Fabrication procedures and process sensitivities for CdS/CdTe solar cells
journal, September 1999


XSEDE: Accelerating Scientific Discovery
journal, September 2014

  • Towns, John; Cockerill, Timothy; Dahan, Maytal
  • Computing in Science & Engineering, Vol. 16, Issue 5
  • DOI: 10.1109/MCSE.2014.80

Works referencing / citing this record:

Progress in 3D electrode microstructure modelling for fuel cells and batteries: transport and electrochemical performance
journal, July 2019