Phase-field simulation of intergranular bubble growth and percolation in bicrystals

Abstract Three-dimensional phase-field simulations of the growth and coalescence of intergranular bubbles in bicrystal grain geometries are presented. We investigate the dependency of bubble percolation on two factors: the initial bubble density and the bubble shape, which is governed by the ratio of the grain boundary energy over the surface energy. The simulations show that variations of each of these factors can lead to large discrepancies in the bubble coalescence rate, and eventual percolation, which may partially explain this observed occurrence in experimental investigations. The results presented here do not account for concurrent gas production and bubble resolution due to irradiation, therefore this simulation study is most applicable to post-irradiation annealing.

[1]  M. O. Tucker Relative growth rates of fission-gas bubbles on grain faces , 1978 .

[2]  R. Cornell The growth of fission gas bubbles in irradiated uranium dioxide , 1969 .

[3]  J. Turnbull,et al.  The morphology of interlinked porosity in nuclear fuels , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[4]  J. R. Matthews,et al.  A simple operational gas release and swelling model: II. Grain boundary gas , 1980 .

[5]  Bart Blanpain,et al.  Quantitative analysis of grain boundary properties in a generalized phase field model for grain growth in anisotropic systems , 2008 .

[6]  J. Rest,et al.  Analysis of intergranular fission-gas bubble-size distributions in irradiated uranium–molybdenum alloy fuel , 2009 .

[7]  P. Vela,et al.  Spontaneous grain boundary swelling in irradiated copper-boron alloys , 1966 .

[8]  Xin Sun,et al.  Phase-field modeling of void migration and growth kinetics in materials under irradiation and temperature field , 2010 .

[9]  Charles H. Henager,et al.  Phase-field Modeling of Void Lattice Formation under Irradiation , 2009 .

[10]  A. El-Azab,et al.  Phase-field simulation of irradiated metals: Part II: Gas bubble kinetics , 2011 .

[11]  Marius Stan,et al.  Phase-field modeling of gas bubbles and thermal conductivity evolution in nuclear fuels , 2009 .

[12]  H. Trinkaus The effect of cascade induced gas resolution on bubble formation in metals , 2003 .

[13]  M. Tonks,et al.  Phase-field simulations of gas density within bubbles in metals under irradiation , 2011 .

[14]  K. Easterling,et al.  Phase Transformations in Metals and Alloys , 2021 .

[15]  M. Mogensen,et al.  Concerning the development of grain face bubbles and fission gas release in UO2 fuel , 1988 .

[16]  Sidney Yip,et al.  Materials interfaces : atomic-level structure and properties , 1992 .

[17]  R. J. White,et al.  A new fission-gas release model , 1983 .

[18]  A. Massih Percolation model for bubble interlinkage in ceramic nuclear fuels , 1983 .

[19]  Donald R. Olander,et al.  Fundamental Aspects of Nuclear Reactor Fuel Elements , 1976 .

[20]  W. Beeré,et al.  The effect of fission products on the ratio of grain-boundary energy to surface energy in irradiated uranium dioxide , 1971 .

[21]  R. J. White,et al.  The development of grain-face porosity in irradiated oxide fuel , 2004 .

[22]  M. Tonks,et al.  Application of phase-field modeling to irradiation effects in materials , 2011 .

[23]  Donald R. Olander,et al.  Fundamental aspects of nuclear reactor fuel elements: solutions to problems , 1976 .

[24]  Microstructural analysis and modelling of intergranular swelling of an irradiated UO2 fuel treated at high temperature , 1998 .