Gas Bubble Evolution in Polycrystalline UMo Fuels Under Elastic-Plastic Deformation: A Phase-Field Model With Crystal-Plasticity
Abstract
In monolithic UMo fuels, the interaction between the Al cladding and large gas bubble volumetric swelling causes both elastic-plastic and creep deformation. In this work, a phase-field model of gas bubble evolution in polycrystalline UMo under elastic-plastic deformation was developed for studying the dynamic interaction between evolving gas bubble/voids and deformation. A crystal plasticity model, which assumes that the plastic strain rate is proportional to resolved shear stresses of dislocation slip systems on their slip planes, was used to describe plastic deformation in polycrystalline UMo. Xe diffusion and gas bubble evolution are driven by the minimization of chemical and deformation energies in the phase-field model, while evolving gas bubble structure was used to update the mechanical properties in the crystal plasticity model. With the developed model, we simulated the effect of gas bubble structures (different volume fractions and internal gas pressures) on stress-strain curves and the effect of local stresses on gas bubble evolution. The results show that 1) the effective Young’s modulus and yield stress decrease with the increase of gas bubble volume fraction; 2) the hardening coefficient increases with the increase of gas bubble volume fraction, especially for gas bubbles with higher internal pressure; and 3) the pressuremore »
- Authors:
-
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Idaho National Lab. (INL), Idaho Falls, ID (United States); North Carolina State Univ., Raleigh, NC (United States)
- Publication Date:
- Research Org.:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1810578
- Report Number(s):
- PNNL-SA-160662
Journal ID: ISSN 2296-8016
- Grant/Contract Number:
- AC05-76RL01830
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Frontiers in Materials
- Additional Journal Information:
- Journal Volume: 8; Journal ID: ISSN 2296-8016
- Publisher:
- Frontiers Research Foundation
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Hu, Shenyang, and Beeler, Benjamin. Gas Bubble Evolution in Polycrystalline UMo Fuels Under Elastic-Plastic Deformation: A Phase-Field Model With Crystal-Plasticity. United States: N. p., 2021.
Web. doi:10.3389/fmats.2021.682667.
Hu, Shenyang, & Beeler, Benjamin. Gas Bubble Evolution in Polycrystalline UMo Fuels Under Elastic-Plastic Deformation: A Phase-Field Model With Crystal-Plasticity. United States. https://doi.org/10.3389/fmats.2021.682667
Hu, Shenyang, and Beeler, Benjamin. Mon .
"Gas Bubble Evolution in Polycrystalline UMo Fuels Under Elastic-Plastic Deformation: A Phase-Field Model With Crystal-Plasticity". United States. https://doi.org/10.3389/fmats.2021.682667. https://www.osti.gov/servlets/purl/1810578.
@article{osti_1810578,
title = {Gas Bubble Evolution in Polycrystalline UMo Fuels Under Elastic-Plastic Deformation: A Phase-Field Model With Crystal-Plasticity},
author = {Hu, Shenyang and Beeler, Benjamin},
abstractNote = {In monolithic UMo fuels, the interaction between the Al cladding and large gas bubble volumetric swelling causes both elastic-plastic and creep deformation. In this work, a phase-field model of gas bubble evolution in polycrystalline UMo under elastic-plastic deformation was developed for studying the dynamic interaction between evolving gas bubble/voids and deformation. A crystal plasticity model, which assumes that the plastic strain rate is proportional to resolved shear stresses of dislocation slip systems on their slip planes, was used to describe plastic deformation in polycrystalline UMo. Xe diffusion and gas bubble evolution are driven by the minimization of chemical and deformation energies in the phase-field model, while evolving gas bubble structure was used to update the mechanical properties in the crystal plasticity model. With the developed model, we simulated the effect of gas bubble structures (different volume fractions and internal gas pressures) on stress-strain curves and the effect of local stresses on gas bubble evolution. The results show that 1) the effective Young’s modulus and yield stress decrease with the increase of gas bubble volume fraction; 2) the hardening coefficient increases with the increase of gas bubble volume fraction, especially for gas bubbles with higher internal pressure; and 3) the pressure dependence of Xe thermodynamic and kinetic properties in addition to the local stress state determine gas bubble growth or shrinkage. The simulated results can serve as a guide to improve material property models for macroscale fuel performance modeling.},
doi = {10.3389/fmats.2021.682667},
journal = {Frontiers in Materials},
number = ,
volume = 8,
place = {United States},
year = {Mon Jun 07 00:00:00 EDT 2021},
month = {Mon Jun 07 00:00:00 EDT 2021}
}
Works referenced in this record:
Continuum dislocation dynamics: Towards a physical theory of crystal plasticity
journal, February 2014
- Hochrainer, Thomas; Sandfeld, Stefan; Zaiser, Michael
- Journal of the Mechanics and Physics of Solids, Vol. 63
Irradiated microstructure of U-10Mo monolithic fuel plate at very high fission density
journal, August 2017
- Gan, J.; Miller, B. D.; Keiser, D. D.
- Journal of Nuclear Materials, Vol. 492
Thermo-Mechanical Performance Assessment of Selected Plates From MP-1 High Power Experiments
conference, October 2017
- Ozaltun, Hakan; Rabin, Barry H.
- ASME 2017 Nuclear Forum collocated with the ASME 2017 Power Conference Joint With ICOPE-17, the ASME 2017 11th International Conference on Energy Sustainability, and the ASME 2017 15th International Conference on Fuel Cell Science, Engineering and Technology
A ternary EAM interatomic potential for U–Mo alloys with xenon
journal, March 2013
- Smirnova, D. E.; Kuksin, A. Yu; Starikov, S. V.
- Modelling and Simulation in Materials Science and Engineering, Vol. 21, Issue 3
A MICROSCOPIC THEORY FOR DOMAIN WALL MOTION AND ITS EXPERIMENTAL VERIFICATION IN Fe-Al ALLOY DOMAIN GROWTH KINETICS
journal, December 1977
- Cahn, J. W.; Allen, S. M.
- Le Journal de Physique Colloques, Vol. 38, Issue C7
Theory and experimental background on dimensional changes in irradiated alloys
journal, October 1994
- Mansur, L. K.
- Journal of Nuclear Materials, Vol. 216
Thermodynamically consistent continuum dislocation dynamics
journal, March 2016
- Hochrainer, Thomas
- Journal of the Mechanics and Physics of Solids, Vol. 88
Thermodynamic description and growth kinetics of stoichiometric precipitates in the phase-field approach
journal, June 2007
- Hu, S. Y.; Murray, J.; Weiland, H.
- Calphad, Vol. 31, Issue 2
A multi-phase field model of planar dislocation networks
journal, September 2004
- Koslowski, M.; Ortiz, M.
- Modelling and Simulation in Materials Science and Engineering, Vol. 12, Issue 6
Effects of UMo irradiation creep on the thermo-mechanical behavior in monolithic UMo/Al fuel plates
journal, October 2019
- Yan, Feng; Jian, Xiaobin; Ding, Shurong
- Journal of Nuclear Materials, Vol. 524
Phase-Field Models for Microstructure Evolution
journal, August 2002
- Chen, Long-Qing
- Annual Review of Materials Research, Vol. 32, Issue 1
Diffuse interface approach to modeling crystal plasticity with accommodation of grain boundary sliding
journal, March 2019
- Cheng, Tian-Le; Wen, You-Hai; Hawk, Jeffrey A.
- International Journal of Plasticity, Vol. 114
Shutdown-induced tensile stress in monolithic miniplates as a possible cause of plate pillowing at very high burnup
journal, March 2018
- Medvedev, P. G.; Ozaltun, H.; Robinson, A. B.
- Nuclear Engineering and Design, Vol. 328
Coupling the Phase Field Method for diffusive transformations with dislocation density-based crystal plasticity: Application to Ni-based superalloys
journal, September 2016
- Cottura, M.; Appolaire, B.; Finel, A.
- Journal of the Mechanics and Physics of Solids, Vol. 94
Modeling thermal and stress behavior of the fuel–clad interface in monolithic fuel mini-plates
journal, August 2010
- Miller, Gregory K.; Burkes, Douglas E.; Wachs, Daniel M.
- Materials & Design, Vol. 31, Issue 7
Creep deformation and rafting in nickel-based superalloys simulated by the phase-field method using classical flow and creep theories
journal, September 2011
- Tsukada, Yuhki; Murata, Yoshinori; Koyama, Toshiyuki
- Acta Materialia, Vol. 59, Issue 16
Thermo-physical properties of DU–10wt.% Mo alloys
journal, August 2010
- Burkes, Douglas E.; Papesch, Cynthia A.; Maddison, Andrew P.
- Journal of Nuclear Materials, Vol. 403, Issue 1-3
Constitutive modelling of the anisotropic creep behaviour of nickel-base single crystal superalloys
journal, April 2009
- Vladimirov, Ivaylo N.; Reese, Stefanie; Eggeler, Gunther
- International Journal of Mechanical Sciences, Vol. 51, Issue 4
A improved equation of state for Xe gas bubbles in γU-Mo fuels
journal, March 2020
- Beeler, Benjamin; Hu, Shenyang; Zhang, Yongfeng
- Journal of Nuclear Materials, Vol. 530
A phase-field model for creep behavior in nickel-base single-crystal superalloy: Coupled with creep damage
journal, April 2018
- Yang, Min; Zhang, Jun; Wei, Hua
- Scripta Materialia, Vol. 147
Simulation of characteristics determining pressure effects on the concentration and diffusivity of vacancies in BCC metals: A new approach
journal, June 2008
- Valikova, I. V.; Nazarov, A. V.
- The Physics of Metals and Metallography, Vol. 105, Issue 6
An extrapolated equation of state for xenon for use in fuel swelling calculations
journal, May 1969
- Harrison, J. W.
- Journal of Nuclear Materials, Vol. 31, Issue 1
A dislocation dynamics-assisted phase field model for Nickel-based superalloys: The role of initial dislocation density and external stress during creep
journal, May 2017
- Wu, Ronghai; Sandfeld, Stefan
- Journal of Alloys and Compounds, Vol. 703
Formation mechanism of gas bubble superlattice in UMo metal fuels: Phase-field modeling investigation
journal, October 2016
- Hu, Shenyang; Burkes, Douglas E.; Lavender, Curt A.
- Journal of Nuclear Materials, Vol. 479
Modeling microstructural evolution in irradiated materials with cluster dynamics methods: A review
journal, June 2018
- Kohnert, Aaron A.; Wirth, Brian D.; Capolungo, Laurent
- Computational Materials Science, Vol. 149
Transmission electron microscopy characterization of the fission gas bubble superlattice in irradiated U–7 wt%Mo dispersion fuels
journal, March 2015
- Miller, B. D.; Gan, J.; Keiser, D. D.
- Journal of Nuclear Materials, Vol. 458
A modified equation of state for Xe at high pressures by molecular dynamics simulation
journal, February 2014
- Xiao, Hong-Xing; Long, Chong-Sheng
- Chinese Physics B, Vol. 23, Issue 2
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
journal, May 2012
- Lebensohn, Ricardo A.; Kanjarla, Anand K.; Eisenlohr, Philip
- International Journal of Plasticity, Vol. 32-33
Cluster dynamics models of irradiation damage accumulation in ferritic iron. II. Effects of reaction dimensionality
journal, April 2015
- Kohnert, Aaron A.; Wirth, Brian D.
- Journal of Applied Physics, Vol. 117, Issue 15
A study on density functional theory of the effect of pressure on the formation and migration enthalpies of intrinsic point defects in growing single crystal Si
journal, May 2012
- Sueoka, Koji; Kamiyama, Eiji; Kariyazaki, Hiroaki
- Journal of Applied Physics, Vol. 111, Issue 9
Defect cluster and nonequilibrium gas bubble associated growth in irradiated UMo fuels – A cluster dynamics and phase field model
journal, December 2020
- Hu, Shenyang; Setyawan, Wahyu; Beeler, Benjamin W.
- Journal of Nuclear Materials, Vol. 542
A phase field dislocation dynamics model for a bicrystal interface system: An investigation into dislocation slip transmission across cube-on-cube interfaces
journal, April 2016
- Zeng, Y.; Hunter, A.; Beyerlein, I. J.
- International Journal of Plasticity, Vol. 79
Recrystallization and fission-gas-bubble swelling of U–Mo fuel
journal, May 2013
- Kim, Yeon Soo; Hofman, G. L.; Cheon, J. S.
- Journal of Nuclear Materials, Vol. 436, Issue 1-3
A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals
journal, July 2004
- Ma, A.; Roters, F.
- Acta Materialia, Vol. 52, Issue 12
Cluster dynamics modeling of the effect of high dose irradiation and helium on the microstructure of austenitic stainless steels
journal, January 2016
- Brimbal, Daniel; Fournier, Lionel; Barbu, Alain
- Journal of Nuclear Materials, Vol. 468
A Rate-Theory–Phase-Field Model of Irradiation-Induced Recrystallization in UMo Nuclear Fuels
journal, October 2017
- Hu, Shenyang; Joshi, Vineet; Lavender, Curt A.
- JOM, Vol. 69, Issue 12
Atomistic simulations of thermodynamic properties of Xe gas bubbles in U10Mo fuels
journal, July 2017
- Hu, Shenyang; Setyawan, Wahyu; Joshi, Vineet V.
- Journal of Nuclear Materials, Vol. 490
A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations
journal, May 2006
- Ma, A.; Roters, F.; Raabe, D.
- Acta Materialia, Vol. 54, Issue 8