Grain Parameters
Theory
Read-Shockley formula:
E(θ) = E₀ θ(A − ln θ)
E₀ = μb/4π(1−ν)
A = 1 + ln(b/2πr₀)
Dislocation spacing:
D = b/θ (Frank's rule)
High-angle: θ > θ_c ≈ 15°
E ≈ const (disloc. cores overlap)
E(θ) = E₀ θ(A − ln θ)
E₀ = μb/4π(1−ν)
A = 1 + ln(b/2πr₀)
Dislocation spacing:
D = b/θ (Frank's rule)
High-angle: θ > θ_c ≈ 15°
E ≈ const (disloc. cores overlap)
θ: --° | D: -- nm
E(θ): -- mJ/m²
Type: --
E(θ): -- mJ/m²
Type: --