Hall-Petch equation

proper noun

A relationship between the yield point and grain size of a material given by the equation σ_y = σ₀ + k_y * d^(-0.5), where σ_y is the yield stress, d is the average grain diameter, and σ₀ and k_y are constants specific to a particular material.

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Meanings

proper nounthe Hall-Petch equation
  1. materials scienceA relationship between the yield point and grain size of a material given by the equation σ_y = σ₀ + k_y * d^(-0.5), where σ_y is the yield stress, d is the average grain diameter, and σ₀ and k_y are constants specific to a particular material.

Origin

Independently discovered by English scientists Eric O. Hall and Norman J. Petch, in 1951 and 1953 respectively.

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Cite this entry
APA

Hall-Petch equation. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Hall-Petch%20equation

MLA

“Hall-Petch equation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hall-Petch%20equation. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hall-Petch equation,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Hall-Petch%20equation.

Source: Hall-Petch equation on Wiktionary, CC BY-SA 4.0.