Distribution of normal stress at grain boundaries in multicrystals: application to an intergranular damage modeling

摘要

Under transient power conditions in pressurized water reactor, zircaloy-4 fuel claddings are possibly submitted to stress corrosion cracking by volatile fission products. The localization of stress and strain in the inner surface of the cladding and the local aspects of the damage phenomena incite to consider a modeling at the granular scale. At this scale, the behavior of multicrystals is described by a crystal plasticity model including the local orientation of each grain and the Zy-4 slip-system families. Representative microstructures are meshed (2D and 3D) in order to evaluate intergranular but also intragranular heterogenities of the stress and strain fields. Large strain heterogenities appear due to deformation incompatibilities between grains, which induce over-stresses at the grain boundaries. 3D computations of multicrystalline aggregates are performed in order to compute the distribution of the normal stresses at the grain boundaries with respect to the angle between the load direction and the normal to the grain boundary. Effects of neighborhood is evaluated. In addition, an intergranular damage model is proposed. The formulation of this model is based on a decomposition of the strength at grain boundaries into normal and shear components. Finally, results on 2D aggregates are presented and show examples of anisotropic damage patterns.