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    • Keywords


      Hardness; metallic crystals; dislocation; electron density.

    • Abstract


      This paper presents a new formula for calculating the hardness of metallic crystals, resulted from the research on the critical grain size with stable dislocations. The formula is 𝐻 = 6 𝑘𝐺/[𝜋(1 – 𝜈)𝑒𝜂], where 𝐻 is the hardness, 𝑘 the coefficient, 𝐺 the shear modulus, 𝜈 the Poisson’s ratio, 𝜂 a function of the radius of an atom (𝑟) and the electron density at the atom interface (𝑛). The formula will not only be used to testify the critical grain size with stable dislocations, but also play an important role in the understanding of mechanical properties of nanocrystalline metals.

    • Author Affiliations


      Wuhui Li1 Fengzhang Ren2 Juanhua Su3 Zhanhong Ma3 Ke Cao1 Baohong Tian3

      1. Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
      2. Henan Key Laboratory of Advanced Non-ferrous Metals, Luoyang 471003, China
      3. School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China
    • Dates

  • Bulletin of Materials Science | News

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      Posted on July 25, 2019

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