Abstract
The behavior of fission gas, notably accommodation within intra- and intergranular bubbles, influences the macroscopic properties and overall performance of oxide fuels. This work discusses progress to capture key fission gas-related phenomena with modern mesoscale techniques: the interaction of grain growth and irradiation by a phase-field crystal (PFC) method; overpressurized intragranular bubble migration in a vacancy gradient by a linearized phase-field model; and intergranular bubble interlinkage and percolation by the included phase model (IPM). An outlook on the impact of these models for the investigation of unit mechanisms of fission gas behavior and integration of them into fuel-performance codes is presented.
References
1.
Tonks
,
M.
,
Andersson
,
D.
,
Devanathan
,
R.
,
Dubourg
,
R.
,
El-Azab
,
A.
,
Freyss
,
M.
,
Iglesias
,
F.
,
Kulacsy
,
K.
,
Pastore
,
G.
,
Phillpot
,
S. R.
, and
Welland
,
M.
, 2018
, “
Unit Mechanisms of Fission Gas Release: Current Understanding and Future Needs
,” J. Nucl. Mater.
,
504
, pp. 300
–317
.10.1016/j.jnucmat.2018.03.0162.
Evans
,
J. H.
, 1996
, “
The Role of Directed Bubble Diffusion to Grain Boundaries in Post-Irradiation Fission Gas Release From UO2: A Quantitative Assessment
,” J. Nucl. Mater.
,
238
(2–3
), pp. 175
–182
.10.1016/S0022-3115(96)00452-73.
Welland
,
M. J.
,
Tenuta
,
E.
, and
Prudil
,
A. A.
, 2017
, “
Linearization-Based Method for Solving a Multicomponent Diffusion Phase-Field Model With Arbitrary Solution Thermodynamics
,” Phys. Rev. E.
,
95
(6
), p. 063312.10.1103/PhysRevE.95.0633124.
White
,
R. J.
, and
Tucker
,
M. O.
, 1983
, “
A New Fission-Gas Release Model
,” J. Nucl. Mater.
,
118
(1
), pp. 1
–38
.10.1016/0022-3115(83)90176-95.
White
,
R. J.
, 2001
, “
The Fractal Nature of the Surface of Uranium Dioxide: A Resolution of the Short-Lived/Stable Gas Release Dichotomy
,” J. Nucl. Mater.
,
295
(2–3
), pp. 133
–148
.10.1016/S0022-3115(01)00571-26.
Millett
,
P. C.
,
Tonks
,
M. R.
,
Biner
,
S. B.
,
Zhang
,
L.
,
Chockalingam
,
K.
, and
Zhang
,
Y.
, 2012
, “
Phase-Field Simulation of Intergranular Bubble Growth and Percolation in Bicrystals
,” J. Nucl. Mater.
,
425
(1–3
), pp. 130
–135
.10.1016/j.jnucmat.2011.07.0347.
Prudil
,
A. A.
, and
Welland
,
M. J.
, 2017
, “
A Novel Model of Third Phase Inclusions on Two Phase Boundaries
,” Mater. Theory
,
1
, p. 4.10.1186/s41313-017-0003-38.
Greenwood
,
M.
,
Shampur
,
K. N.
,
Ofori-Opoku
,
N.
,
Pinomaa
,
T.
,
Wang
,
L.
,
Gurevich
,
S.
, and
Provatas
,
N.
, 2018
, “
Quantitative 3D Phase Field Modelling of Solidification Using Next-Generation Adaptive Mesh Refinement
,” Comput. Mater. Sci.
,
142
, pp. 153
–171
.10.1016/j.commatsci.2017.09.0299.
Welland
,
M. J.
,
Piro
,
M. H. A.
,
Hibbins
,
S.
, and
Wang
,
N.
, 2017
, “
A Method of Integrating CALPHAD Data Into Phase-Field Models Using an Approximated Minimiser Applied to Intermetallic Layer Growth in the Al-Mg System
,” Calphad
,
59
, pp. 76
–83
.10.1016/j.calphad.2017.07.00810.
Welland
,
M. J.
,
Lewis
,
B. J.
, and
Thompson
,
W. T.
, 2008
, “
A Comparison of Stefan and Phase Field Modeling Techniques for the Simulation of Melting Nuclear Fuel
,” J. Nucl. Mater.
,
376
(2
), pp. 229
–239
.10.1016/j.jnucmat.2008.03.00311.
Piro
,
M. H. A.
,
Welland
,
M. J.
, and
Stan
,
M.
, 2015
, “
On the Interpretation of Chemical Potentials Computed From Equilibrium Thermodynamic Codes
,” J. Nucl. Mater.
,
464
, pp. 48
–52
.10.1016/j.jnucmat.2015.04.00412.
Elder
,
K. R.
,
Katakowski
,
M.
,
Haataja
,
M.
, and
Grant
,
M.
, 2002
, “
Modeling Elasticity in Crystal Growth
,” Phys. Rev. Lett.
,
88
(24
), p. 063312.10.1103/PhysRevLett.88.24570113.
Ofori-Opoku
,
N.
,
Hoyt
,
J. J.
, and
Provatas
,
N.
, 2012
, “
Phase-Field-Crystal Model of Phase and Microstructural Stability in Driven Nanocrystalline Systems
,” Phys. Rev. E.
,
86
(6
), p. 063312.10.1103/PhysRevE.86.06670614.
Ofori-Opoku
,
N.
, 2013
, “
Modelling Microstructural Evolution in Materials Science
,” Ph.D. thesis,
McMaster
, Hamilton, ON, Canada.15.
Turnbull
,
J. A.
, and
Cornell
,
R. M.
, 1971
, “
The Re-Solution of Fission-Gas Atoms From Bubbles During the Irradiation of UO2 at an Elevated Temperature
,” J. Nucl. Mater.
,
41
(2
), pp. 156
–160
.10.1016/0022-3115(71)90075-416.
Garcia
,
P.
,
Martin
,
G.
,
Sabathier
,
C.
,
Carlot
,
G.
,
Michel
,
A.
,
Martin
,
P.
,
Dorado
,
B.
,
Freyss
,
M.
,
Bertolus
,
M.
,
Skorek
,
R.
,
Noirot
,
J.
,
Noirot
,
L.
,
Kaitasov
,
O.
, and
Maillard
,
S.
, 2012
, “
Nucleation and Growth of Intragranular Defect and Insoluble Atom Clusters in Nuclear Oxide Fuels
,” Nucl. Instrum. Methods Phys. Res., Sect. B
,
277
(11
), p. 98
.10.1016/j.nimb.2011.12.03117.
Turnbull
,
J. A.
, 1971
, “
The Distribution of Intragranular Fission Gas Bubbles in UO2 During Irradiation
,” J. Nucl. Mater.
,
38
(2
), pp. 203
–212
.10.1016/0022-3115(71)90044-418.
Yakub
,
E.
,
Ronchi
,
C.
, and
Staicu
,
D.
, 2007
, “
Molecular Dynamics Simulation of Premelting and Melting Phase Transitions in Stoichiometric Uranium Dioxide
,” J. Chem. Phys.
,
127
(9
), p. 094508
.10.1063/1.276448419.
Plapp
,
M.
, 2011
, “
Unified Derivation of Phase-Field Models for Alloy Solidification From a Grand-Potential Functional
,” Phys. Rev. E.
,
84
(3
), p. 031601
.10.1103/PhysRevE.84.03160120.
Kaplun
,
A. B.
, and
Meshalkin
,
A. B.
, 2003
, “
Thermodynamic Validation of the Form of Unified Equation of State for Liquid and Gas
,” High Temp.
,
41
(3
), pp. 319
–326
.10.1023/A:102423032455521.
Xiao
,
H.-X.
, and
Long
,
C.-S.
, 2014
, “
A Modified Equation of State for Xe at High Pressures by Molecular Dynamics Simulation
,” Chin. Phys. B.
,
23
(2
), p. 020502
.10.1088/1674-1056/23/2/02050222.
Prudil
,
A.
,
Lewis
,
B. J.
,
Chan
,
P. K.
, and
Baschuk
,
J. J.
, 2015
, “
Development and Testing of the FAST Fuel Performance Code: Normal Operating Conditions (Part 1)
,” Nucl. Eng. Des.
,
282
, pp. 158
–168
.10.1016/j.nucengdes.2014.09.03623.
Ball
,
R. G. J.
, and
Grimes
,
R. W.
, 1992
, “
A Comparison of the Behaviour of Fission Gases in UO2±x and α-U3O8–z
,” J. Nucl. Mater.
,
188
, pp. 216
–221
.10.1016/0022-3115(92)90474-Y24.
Welty
,
J. R.
,
Wicks
,
C. E.
, and
Wilson
,
R. E.
, 1984
, Fundamentals of Momentum, Heat, and Mass Transfer
, 3rd ed.,
Wiley
,
New York
.25.
Prudil
,
A. A.
,
Thomas
,
E. S.
, and
Welland
,
M. J.
, 2019
, “
Network Percolation Using a Two-Species Included Phase Model to Predict Fission Gas Accommodation and Venting
,” J. Nucl. Mater.
,
515
, pp. 170
–186
.10.1016/j.jnucmat.2018.12.03626.
Thomas
,
E. S.
,
Prudil
,
A. A.
, and
Welland
,
M. J.
, 2018
, “
Mesoscale Simulations of Fission Gas Release a Two-Dimensional Implementation of the Shell Porosity Model
,” 42nd Annual CNS/CNA Student Conference, Saskatoon, SK, Canada, June 3–6.27.
Millett
,
P. C.
,
Tonks
,
M. R.
, and
Biner
,
S. B.
, 2012
, “
Grain Boundary Percolation Modeling of Fission Gas Release in Oxide Fuels
,” J. Nucl. Mater.
,
424
(1–3
), pp. 176
–182
.10.1016/j.jnucmat.2012.03.00628.
Booth
,
A. H.
, 1957
, “
A Method of Calculating Fission Gas Diffusion From UO2 Fuel and Its Application to the X-2-f Loop Test
,” Atomic Energy of Canada Limited, Chalk River, Canada, Report No. AECL-00496.Copyright © 2020 by ASME
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