Basic equations of diffusion in metals considering nonlocality

Takehide Yokozuka, Kazuyuki Shizawa, Kunihiro Takahashi

研究成果: Article査読

抄録

Polycrystalline metals usually have internal structures, thus there are cases where it is difficult to apply Fick's laws to diffusion. In the present paper, the authors introduce mesodomains, which are regarded as the grains in metals, to the conventional diffusion theory. State variables are varied in mesodomains and are divided into the average value and fluctuating value. Consequently, the mass balance is expressed by not only the mass concentration but also the mesoscopic average mass concentration considering nonlocality. A new entropy flux is introduced to entropy inequality and a new mesoscopic variable is added to Helmholtz free energy. Furthermore, the constitutive equations of Cauchy's stress and of diffusion flux are influenced by mesoscopic average mass concentration which is one of the behaviors of materials in grains.

本文言語English
ページ(範囲)1590-1596
ページ数7
ジャーナルNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
62
599
DOI
出版ステータスPublished - 1996 1 1
外部発表はい

ASJC Scopus subject areas

  • 材料科学(全般)
  • 材料力学
  • 機械工学

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