I want to calculate the Peierls-Nabarro stress, the equation τP=[2G/(1-ν)]exp[-2πa/(1-ν)b] is easy to found in many papers.
Now I have the data of generalized stacking fault energy (GSFE, γ) from DFT, and found some papers on the relationship between Peierls-Nabarro stress and GSFE. However, I donnot know which equation to use to calculate the Periels-Nabarro stress.
Is there any direct equation between Peierls-Nabarro stress and GSFE?
Refs.
[1] Joós B, Ren Q, Duesbery M S, Peierls-Nabarro model of dislocations in silicon with generalized stacking-fault restoring forces, Physical Review B, 1994, 50(9):5890.
[2] Ph. Carrez, Ferré D, P. Cordier, Peierls–Nabarro model for dislocations in MgSiOpost-perovskite calculated at 120 GPa from first principles, Philosophical Magazine, 2007, 87(22):3229-3247.
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