Continuum Mechanics for Higher-Stage Micropolar Materials (4th Report, Discussions of Thermodynamics for Constitutive Equations)

Kazuyuki Shizawa, Seiichi Kobayashi, Kunihiro Takahashi

研究成果: Article査読

抄録

Constitutive equations for higher-stage micropolar materials must be discussed thermodynamically as a preliminary to the construction of concrete constitutive equations. In the present paper averaging the 1st and 2nd laws of thermodynamics is the microscopic volume elements up to stage-2, the energy balance equation and the entropy inequality for the micropolar materials of stage-2 are formulated on the basis of the results of the previous reports. Thermodynamic relationships between the generalized forces (stress, couple stress, bicouple stress, heat flux density) and thermodynamic functions (free energy and dissipation function) which govern the constitutive equations are derived using the Clausius-Duhem inequality obtained by coupling the energy balance equation and entropy inequality. In this way, the thermodynamic limitations which the constitutive equations must satisfy are clarified, and the response functions and their arguments which characterize the constitutive equations are determined.

本文言語English
ページ(範囲)900-906
ページ数7
ジャーナルTransactions of the Japan Society of Mechanical Engineers Series A
57
536
DOI
出版ステータスPublished - 1991
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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