"Hall-Petch equation" meaning in English

{
  "etymology_text": "Independently discovered by English scientists Eric O. Hall and Norman J. Petch, in 1951 and 1953 respectively.",
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      "glosses": [
        "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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        [
          "yield point",
          "yield point"
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        [
          "grain",
          "grain"
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          "diameter",
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      "qualifier": "materials science",
      "raw_glosses": [
        "(materials science) 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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  "word": "Hall-Petch equation"
}

{
  "etymology_text": "Independently discovered by English scientists Eric O. Hall and Norman J. Petch, in 1951 and 1953 respectively.",
  "forms": [
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      "form": "the Hall-Petch equation",
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      "glosses": [
        "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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        "(materials science) 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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      "wikipedia": [
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  "word": "Hall-Petch equation"
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}