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Grain size affects mechanical properties: smaller grains = higher strength, higher hardness (Hall-Petch relationship).

공식

Calculate strengthening effect using Hall-Petch: σ = σ₀ + k/√d

단계별 가이드

  1. 1Input grain size (average diameter)
  2. 2Calculate strengthening effect using Hall-Petch: σ = σ₀ + k/√d
  3. 3Results show predicted yield strength

풀어진 예시

입력
Grain size 1 μm vs. 100 μm
결과
1 μm ~ 50% stronger (Hall-Petch effect)

피해야 할 일반적인 실수

  • Assuming smaller always better (sometimes reduces ductility)
  • Not accounting for material-specific k value

자주 묻는 질문

How do you control grain size?

Cool rate (slower = larger grains), deformation (refines grains), annealing temperature.

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