Abstract
Hydride precipitation in zirconium cladding is known to cause severe loss of toughness and greatly increase the risk of mechanical failure and fuel leakage. Modeling hydride formation kinetics is critical to the safety assessment of the fuel-cladding system and the entire reactor system. Existing reduced order models do not provide such details as number density and size distribution of hydride precipitates. We have recently developed a cross-scale cluster dynamics model with increased physical details and enhanced predictive capability for the hydride formation kinetics in zirconium. Our model takes information from atomistic simulations, such as migration energy of interstitial hydrogen and formation/binding energy of hydride embryos/clusters, as input, and establishes and solves a system of rate equations that describe the evolution of concentrations of freely migrating hydrogen as well as sessile hydride clusters of all different sizes. Used here to simulate an in situ hydride growth experiment on a TEM, our model is able to reproduce the linear growth behavior of pre-existing hydrides under hydrogen ion implantation and provide possible explanations for the estimated growth rate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G.P. Marino, Nucl. Sci. Eng. 49, 93 (1972)
C.F. Bilsby, J. Nucl. Mater. 68, 1 (1977)
B.F. Kammenzind, D.G. Franklin, H.R. Peters, W.J. Duffin, in The Nuclear Industry: 11th International Symposium, ed. by E.R. Bradley, G.P. Sabol, ASTM STP 1295, (American Society for Testing and Materials, 1996), p. 338
M.S. Veshchunov, V.E. Shestak, V.D. Ozrin, J. Nucl. Mater. 472, 65 (2016)
A. Aryanfar, J. Thomas, A. Van Der Ven, D.H. Xu, M. Youssef, J. Yang, B. Yildiz, J. Marian, JOM 68, 2900 (2016)
D.H. Xu, A. Certain, H.J.L. Voigt, T. Allen, B.D. Wirth, J. Chem. Phys. 145, 104704 (2016)
D.H. Xu, G. VanCoevering, B.D. Wirth, Comput. Mater. Sci. 114, 47 (2016)
D.H. Xu, B.D. Wirth, M.M. Li, M.A. Kirk, Appl. Phys. Lett. 101, 101905 (2012)
D.H. Xu, B.D. Wirth, M.M. Li, M.A. Kirk, Acta Mater. 60, 4286 (2012)
D.H. Xu, B.D. Wirth, J. Nucl. Mater. 403, 184 (2010)
Y. Shinohara, H. Abe, T. Iwai, N. Sekimura, T. Kido, H. Yamamoto, T. Taguchi, J. Nucl. Sci. Tech. 46, 564 (2009)
J.F. Ziegler, J.P. Biersack, U. Littmark, The Stopping and Range of Ions in Matter (Pergamon, New York, 1984)
M. Christensen, W. Wolf, C. Freeman et al., J. Phys.: Condens. Matter 27, 025402 (2015)
D. R. Olander, Fundamental Aspects of Nuclear Reactor Fuel Elements (ERDA, 1976)
A. Rafiei, M. Bollhofer, Numer. Math. 118, 247 (2011)
G. Karypis, V. Kumar, SIAM J. Sci. Comput. 20, 359 (1999)
Acknowledgements
D. Xu acknowledges support from the DoE CASL (Consortium for Advanced Simulation of Light water reactors) program under the subcontracts UT-B 4000139375 and UT-B 4000154162 and new faculty startup fund from Oregon State University.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 The Minerals, Metals & Materials Society
About this paper
Cite this paper
Xu, D., Xiao, H. (2019). Cluster Dynamics Model for the Hydride Precipitation Kinetics in Zirconium Cladding. In: Jackson, J., Paraventi, D., Wright, M. (eds) Proceedings of the 18th International Conference on Environmental Degradation of Materials in Nuclear Power Systems – Water Reactors. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-04639-2_118
Download citation
DOI: https://doi.org/10.1007/978-3-030-04639-2_118
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-04638-5
Online ISBN: 978-3-030-04639-2
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)