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Precipitate hardening graph cutting
F = λτb
e.g. As λ decreases, the stress to cause dislocation detachment τ increases

Bowing
At high r, F increases until f becomes zero. At these high F, the dislocation can bypass the particle by leaving a dislocation loop (Orowan loop) around the particle



Twinning
Favoured at low temperatures and high strain rates – both situations where thermal activation of dislocations is hard.