Basic Equations for Continua Considering Microscopic Curvature of Temperature

Seiichi Kobayashi, Kazuyuki Shizawa, Kunihiro Takahashi

研究成果: Article査読

抄録

In the previous paper, the thermodynamic behavior of materials for nonequilibrium processes was discussed in continuum mechanics. The spatial nonequilibrium of thermodynamic quantities have been treated as their nonlocalities there. Then balance laws for the above materials under nonequilibrium processes have been derived introducing the nonlocalities of thermodynamic quantities. In the present paper, the constitutive equations for the above materials are constructed on the basis of the previous results to satisfy the thermodynamic relations which are expressed by the newly defined thermodynamic potential and by the dissipative function. Moreover, the basic equation system is shown, substituting the above constitutive equations into balance laws. Furthermore, the relationships among the moduli defined in the constitutive equations, are indicated. As a result, it is clarified that the heat conduction depends on not only the temperature gradient but also microscopic gradient and microscopic curvature of temperature under nonequilibrium processes.

本文言語English
ページ(範囲)868-875
ページ数8
ジャーナルTransactions of the Japan Society of Mechanical Engineers Series A
59
559
DOI
出版ステータスPublished - 1993
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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