非局所性を考慮した金属内の拡散における基礎方程式

概要

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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.
一般社団法人日本機械学会の論文
1996-07-25