Basic equations for continua considering microscopic curvature of temperature

Seiichi Kobayashi, Kazuyuki Shizawa, Kunihiro Takahashi

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)868-875
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume59
Issue number559
Publication statusPublished - 1993 Mar
Externally publishedYes

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Thermodynamics
Constitutive equations
Temperature
Continuum mechanics
Heat conduction
Thermal gradients

ASJC Scopus subject areas

  • Mechanical Engineering

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Basic equations for continua considering microscopic curvature of temperature. / Kobayashi, Seiichi; Shizawa, Kazuyuki; Takahashi, Kunihiro.

In: Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, Vol. 59, No. 559, 03.1993, p. 868-875.

Research output: Contribution to journalArticle

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