Model Development in MARMOT for High Burn-up Structure Formation
A phase field model for the formation of High Burn-up Structure (HBS) was developed and implemented in MARMOT. The model takes into consideration the chemical energy of gas atoms, interfacial energies of grain boundaries and bubble surfaces, and strain energy associated with dislocations, which renders the model capable of simulating the concurrent formation and growth of both bubbles and sub-grains. Moreover, in contrast to existing phase-field models of recrystallization, the current model makes no ad hoc or a priori assumptions for the nucleation rate or recrystallized grain size and shape. All the model parameters were quantified in terms of thermodynamic and kinetic properties. The model predicts a strong effect of magnitude and distribution of dislocation density, grain boundary energy, and bubble surface energy on the formation of sub-grains. The model results were shown to agree well with theoretical predictions. For polycrystalline UO 2 at 1200K, the recrystallized average grain size was found to be on the order of of 0.6-1.3 microns at a burn-up in the range of 98-105 GWD/tU. These values lie well within the range of reported data in literature.