Hall-Petch strengthening: σ_y = σ_0 + k_HP·d^(-1/2)

Layer 1 — Physicsin the materials-physics subtree

Hall (1951) and Petch (1953) independently established the inverse-square-root grain-size dependence of yield strength in polycrystalline metals: σ_y = σ_0 + k_HP·d^(-1/2), where d is the average grain diameter, σ_0 the single-crystal…

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