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如何计算Grain Size

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

公式

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

分步指南

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

例题解析

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

常见错误注意事项

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

常见问题

How do you control grain size?

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

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