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Grain size affects mechanical properties: smaller grains = higher strength, higher hardness (Hall-Petch relationship).
Formula
Calculate strengthening effect using Hall-Petch: σ = σ₀ + k/√d
Guida passo passo
- 1Input grain size (average diameter)
- 2Calculate strengthening effect using Hall-Petch: σ = σ₀ + k/√d
- 3Results show predicted yield strength
Esempi risolti
Ingresso
Grain size 1 μm vs. 100 μm
Risultato
1 μm ~ 50% stronger (Hall-Petch effect)
Errori comuni da evitare
- ✕Assuming smaller always better (sometimes reduces ductility)
- ✕Not accounting for material-specific k value
Domande frequenti
How do you control grain size?
Cool rate (slower = larger grains), deformation (refines grains), annealing temperature.
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