PSI - Issue 14

Ritam Chatterjee et al. / Procedia Structural Integrity 14 (2019) 251–258 Author name / Structural Integrity Procedia 00 (2018) 000 – 000 ( ) = nucleation rate in grain average nucleation rate across all grains = Total nucleation rate in grain Number of grains at particular time instant (12) As soon as the probability defined in Eq. (11) exceeds critical value, event of DRX takes place. Once DRX is confirmed, random texture is explicitly assigned to new grains. Along with texture, mechanical properties for single crystal are assigned to the new grains and the cycle continues henceforth. (11) 255 5

Update dislocation density in each grain based on Beyerlein & Tome formulation (2008)

≥

NO

YES

Calculate nucleation rate based on Ding and Guo formulation (2001)

Calculate nucleation probability for each grain

≥ YES

NO

New grain updating

Assign dislocation density, texture and mechanical properties to new grains

Recompute texture weight factor w rel

Output flow stress, dislocation density evolution

Fig. 1. Flow chart depicting implementation of DRX in VPSC model