The effect of elastic anisotropy on the symmetry selection of irradiation-induced void superlattices in cubic metals

Gao, Yipeng; Jokisaari, Andrea M.; Aagesen, Larry; Zhang, Yongfeng; Jin, Miaomiao; Jiang, Chao; Biswas, Sudipta; Sun, Cheng; Gan, Jian

doi:10.1016/j.commatsci.2022.111252

Title: The effect of elastic anisotropy on the symmetry selection of irradiation-induced void superlattices in cubic metals

Journal Article · 15 February 2022 · Computational Materials Science

DOI: https://doi.org/10.1016/j.commatsci.2022.111252 · OSTI ID:1897195

^[1];

^[1]; Aagesen, Larry ^[1];

^[2];

^[1];

^[1]

Idaho National Laboratory (INL), Idaho Falls, ID (United States)
University of Wisconsin, Madison, WI (United States)

We report self-organized microstructures and patterns have been widely observed in non-equilibrium physical systems. In particular, irradiation in metals creates far-from-equilibrium environments, in which the competing dynamics of defect production and annihilation can lead to unique self-organized superlattice structures, e.g., void and gas bubble superlattices. From a physical point of view, the superlattice structures are dictated by the intrinsic symmetry breaking in the metals, i.e., anisotropy caused by the breaking of continuous rotational symmetry. In the literature, two distinctive anisotropies, elastic anisotropy and diffusion anisotropy of interstitials, have been proposed to be the origins of superlattice formation. However, it is still unclear which anisotropy dominates the symmetry selection of superlattice structures. In this paper, we study elastic anisotropy and its effect on the symmetry of void superlattices. By using theoretical analyses and phase field simulations, we show that elastic anisotropy in cubic metals can lead to either face-centered cubic or simple cubic superlattices depending on the Zener anisotropy ratio. The superlattices formed under this elastic anisotropy mechanism must form under the influence of spinodal decomposition, as the mechanism requires perturbations in the vacancy concentration field to develop into spatially-static concentration waves. We compare to existing work on symmetry selection in superlattices via diffusion anisotropy and to experimental observations, and we suggest that concentration wave development under the influence of elastic anisotropy is not the mechanism for symmetry selection during the formation of irradiation-induced void superlattices, but that diffusion anisotropy could be the dominant mechanism.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Idaho National Laboratory (INL), Idaho Falls, ID (United States)

Sponsoring Organization:: USDOE Office of Nuclear Energy (NE); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: AC07-05ID14517

OSTI ID:: 1897195

Report Number(s):: INL/JOU-21-64707-Rev000

Journal Information:: Computational Materials Science, Journal Name: Computational Materials Science Journal Issue: - Vol. 206; ISSN 0927-0256

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (41)

On spinodal decomposition Cahn, John W. Acta Metallurgica, Vol. 9, Issue 9 https://doi.org/10.1016/0001-6160(61)90182-1	journal	September 1961
On spinodal decomposition in cubic crystals Cahn, John W. Acta Metallurgica, Vol. 10, Issue 3 https://doi.org/10.1016/0001-6160(62)90114-1	journal	March 1962
A theory of void-lattice formation Woo, C. H.; Frank, W. Journal of Nuclear Materials, Vol. 137, Issue 1 https://doi.org/10.1016/0022-3115(85)90044-3	journal	December 1985
Gas-bubble superlattice formation in bcc metals Johnson, P. B.; Mazey, D. J. Journal of Nuclear Materials, Vol. 218, Issue 3 https://doi.org/10.1016/0022-3115(94)00674-1	journal	March 1995
Field kinetic model and computer simulation of precipitation of L12 ordered intermetallics from f.c.c. solid solution Wang, Y.; Banerjee, D.; Su, C. C. Acta Materialia, Vol. 46, Issue 9 https://doi.org/10.1016/S1359-6454(98)00015-9	journal	May 1998
Dynamics of the self-assembly of nanovoids and nanobubbles in solids Yu, Hui-Chia; Lu, Wei Acta Materialia, Vol. 53, Issue 6 https://doi.org/10.1016/j.actamat.2004.12.029	journal	April 2005
Phase-field simulation of void migration in a temperature gradient Hu, S. Y.; Henager Jr., C. H. Acta Materialia, Vol. 58, Issue 9 https://doi.org/10.1016/j.actamat.2010.01.043	journal	May 2010
Phase-field modeling of void formation and growth under irradiation Semenov, A. A.; Woo, C. H. Acta Materialia, Vol. 60, Issue 17 https://doi.org/10.1016/j.actamat.2012.07.049	journal	October 2012
Phase-field simulation of irradiated metals Millett, Paul C.; El-Azab, Anter; Rokkam, Srujan Computational Materials Science, Vol. 50, Issue 3 https://doi.org/10.1016/j.commatsci.2010.10.034	journal	January 2011
Asymptotic and uncertainty analyses of a phase field model for void formation under irradiation Wang, Nan; Rokkam, Srujan; Hochrainer, Thomas Computational Materials Science, Vol. 89 https://doi.org/10.1016/j.commatsci.2014.03.045	journal	June 2014
Modeling microstructural evolution in irradiated materials with cluster dynamics methods: A review Kohnert, Aaron A.; Wirth, Brian D.; Capolungo, Laurent Computational Materials Science, Vol. 149 https://doi.org/10.1016/j.commatsci.2018.02.049	journal	June 2018
A phase field modeling based study of microstructure evolution and its influence on thermal conductivity in polycrystalline tungsten under irradiation Wang, Hao; Biswas, Sudipta; Han, Yousung Computational Materials Science, Vol. 150 https://doi.org/10.1016/j.commatsci.2018.03.070	journal	July 2018
Diffuse interface modeling of void growth in irradiated materials. Mathematical, thermodynamic and atomistic perspectives El-Azab, Anter; Ahmed, Karim; Rokkam, Srujan Current Opinion in Solid State and Materials Science, Vol. 18, Issue 2 https://doi.org/10.1016/j.cossms.2014.01.002	journal	April 2014
Chemical effects on He bubble superlattice formation in high entropy alloys Harrison, R. W.; Greaves, G.; Le, H. Current Opinion in Solid State and Materials Science, Vol. 23, Issue 4 https://doi.org/10.1016/j.cossms.2019.07.001	journal	August 2019
Development of a finite element based strain periodicity implementation method Biswas, Sudipta; Schwen, Daniel; Hales, Jason D. Finite Elements in Analysis and Design, Vol. 179 https://doi.org/10.1016/j.finel.2020.103436	journal	October 2020
Phase-field modeling of void lattice formation under irradiation Hu, Shenyang; Henager, Charles H. Journal of Nuclear Materials, Vol. 394, Issue 2-3 https://doi.org/10.1016/j.jnucmat.2009.09.002	journal	November 2009
Phase-field modeling of void migration and growth kinetics in materials under irradiation and temperature field Li, Yulan; Hu, Shenyang; Sun, Xin Journal of Nuclear Materials, Vol. 407, Issue 2 https://doi.org/10.1016/j.jnucmat.2010.09.048	journal	December 2010
Interfacial energy in phase-field emulation of void nucleation and growth Semenov, A. A.; Woo, C. H. Journal of Nuclear Materials, Vol. 411, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2011.01.100	journal	April 2011
Single void dynamics in phase field modeling Xiao, Z. H.; Semenov, A. A.; Woo, C. H. Journal of Nuclear Materials, Vol. 439, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2013.03.076	journal	August 2013
Modeling void development in irradiated metals in the phase-field framework Semenov, A. A.; Woo, C. H. Journal of Nuclear Materials, Vol. 454, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2014.07.031	journal	November 2014
Microstructural characterization of irradiated U–7Mo/Al–5Si dispersion fuel to high fission density Gan, J.; Miller, B. D.; Keiser, D. D. Journal of Nuclear Materials, Vol. 454, Issue 1-3 https://doi.org/10.1016/j.jnucmat.2014.08.052	journal	November 2014
Formation mechanism of gas bubble superlattice in UMo metal fuels: Phase-field modeling investigation Hu, Shenyang; Burkes, Douglas E.; Lavender, Curt A. Journal of Nuclear Materials, Vol. 479 https://doi.org/10.1016/j.jnucmat.2016.07.012	journal	October 2016
Radiation-induced void formation and ordering in Ta-W alloys Ipatova, I.; Wady, P. T.; Shubeita, S. M. Journal of Nuclear Materials, Vol. 495 https://doi.org/10.1016/j.jnucmat.2017.08.029	journal	November 2017
Temperature dependent elastic properties of γ-phase U – 8 wt% Mo Steiner, M. A.; Garlea, E.; Creasy, J. Journal of Nuclear Materials, Vol. 500 https://doi.org/10.1016/j.jnucmat.2017.12.033	journal	March 2018
Formation and self-organization of void superlattices under irradiation: A phase field study Gao, Yipeng; Zhang, Yongfeng; Schwen, Daniel Materialia, Vol. 1 https://doi.org/10.1016/j.mtla.2018.04.003	journal	September 2018
Formation of tetragonal gas bubble superlattice in bulk molybdenum under helium ion implantation Sun, C.; Sprouster, D. J.; Hattar, K. Scripta Materialia, Vol. 149 https://doi.org/10.1016/j.scriptamat.2018.01.023	journal	May 2018
MOOSE: Enabling massively parallel multiphysics simulation Permann, Cody J.; Gaston, Derek R.; Andrš, David SoftwareX, Vol. 11 https://doi.org/10.1016/j.softx.2020.100430	journal	January 2020
Theory and experiment of nanostructure self-organization in irradiated materials Ghoniem, N. M.; Walgraef, D.; Zinkle, S. J. Journal of Computer-Aided Materials Design, Vol. 8, Issue 1, p. 1-38 https://doi.org/10.1023/A:1015062218246		January 2001
Observations of a Regular Void Array in High Purity Molybdenum irradiated with 2 MeV Nitrogen Ions Evans, J. H. Nature, Vol. 229, Issue 5284 https://doi.org/10.1038/229403a0	journal	February 1971
A review: applications of the phase field method in predicting microstructure and property evolution of irradiated nuclear materials Li, Yulan; Hu, Shenyang; Sun, Xin npj Computational Materials, Vol. 3, Issue 1 https://doi.org/10.1038/s41524-017-0018-y	journal	April 2017
Engineering self-organising helium bubble lattices in tungsten Harrison, R. W.; Greaves, G.; Hinks, J. A. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-07711-w	journal	August 2017
Phase field microelasticity theory and simulation of multiple voids and cracks in single crystals and polycrystals under applied stress Wang, Yu U.; Jin, Yongmei M.; Khachaturyan, Armen G. Journal of Applied Physics, Vol. 91, Issue 10 https://doi.org/10.1063/1.1471389	journal	January 2002
Single‐Crystal Elastic Properties of Tungsten from 24° to 1800°C Lowrie, Robert; Gonas, A. M. Journal of Applied Physics, Vol. 38, Issue 11 https://doi.org/10.1063/1.1709158	journal	October 1967
Void ordering in metals during irradiation Krishan, K. Philosophical Magazine A, Vol. 45, Issue 3 https://doi.org/10.1080/01418618208236179	journal	March 1982
Kinetic Monte Carlo simulations of void lattice formation during irradiation Heinisch†, H. L.; Singh, B. N. Philosophical Magazine, Vol. 83, Issue 31-34 https://doi.org/10.1080/14786430310001605416	journal	October 2003
Simulations of the effects of 2-D interstitial diffusion on void lattice formation during irradiation Evans, J. H. Philosophical Magazine, Vol. 86, Issue 2 https://doi.org/10.1080/14786430500380134	journal	January 2006
Simulations of the effects of 1-d interstitial diffusion on void lattice formation during irradiation Evans *, J. H. Philosophical Magazine, Vol. 85, Issue 11 https://doi.org/10.1080/14786430512331325606	journal	April 2005
Phase field modeling of void nucleation and growth in irradiated metals Rokkam, Srujan; El-Azab, Anter; Millett, Paul Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 6 https://doi.org/10.1088/0965-0393/17/6/064002	journal	August 2009
Void nucleation and growth in irradiated polycrystalline metals: a phase-field model Millett, Paul C.; Rokkam, Srujan; El-Azab, Anter Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 6 https://doi.org/10.1088/0965-0393/17/6/064003	journal	August 2009
Role of nonlinearities in off-critical quenches as described by the Cahn-Hilliard model of phase separation Elder, K. R.; Desai, Rashmi C. Physical Review B, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevB.40.243	journal	July 1989
Symmetry breaking during defect self-organization under irradiation Zhang, Yongfeng; Gao, Yipeng; Sun, Cheng Materials Theory, Vol. 4, Issue 1 https://doi.org/10.1186/s41313-020-00021-1	journal	May 2020

Similar Records

Formation and self-organization of void superlattices under irradiation: A phase field study

Journal Article · 2018 · Materialia · OSTI ID:1564270

Gao, Yipeng; Zhang, Yongfeng; Schwen, Daniel; +3 more

The Role of Anisotropy on the Self-Organization of Gas Bubble Superlattice

Conference · 2017 · OSTI ID:1471582

Gan, J.; Zhang, Y.; Sun, C.; +5 more

Bifurcation and Pattern Symmetry Selection in Reaction-Diffusion Systems with Kinetic Anisotropy

Journal Article · 2019 · Scientific Reports · OSTI ID:1619677

Gao, Yipeng; Zhang, Yongfeng; Schwen, Daniel; +2 more

Related Subjects

36 MATERIALS SCIENCE
elasticity
irradiation
superlattice
symmetry

Title: The effect of elastic anisotropy on the symmetry selection of irradiation-induced void superlattices in cubic metals

Citation Formats

References (41)

Similar Records

Related Subjects