Thermodynamic discussions for continua considering noninstantaneities

Seiichi Kobayashi, Kazuyuki Shizawa, Kunihiro Takahashi

Research output: Contribution to journalArticle

Abstract

In conventional theory, it is assumed that continuum state can be determined instantaneously. This assumption restricts the arguments for quantities of state and constitutive equations. In a previous paper, noninstantaneities were introduced in the laws of thermodynamics, to express the constitutive equation of stress including the effect of viscoelasticity. In this paper, we discuss that nonequilibrium processes can be expressed by means of this concept of noninstantaneities in continuum mechanics. The 1st and 2nd laws of thermodynamics are expressed considering the effect of the noninstantaneities of thermodynamic quantities. Then a balance law for the newly defined entropy flux in this paper, is formulated to make the balance equation system complete. Furthermore, the Clausius-Duhem inequality that characterizes materials with the noninstantaneous state is derived. On the basis of the Clausius-Duhem inequality, it is suggested that the constitutive equation of stress restricted thermodynamically, depends on the time rate of the temperature for the nonequilibrium processes.

Original languageEnglish
Pages (from-to)225-231
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume59
Issue number557
Publication statusPublished - 1993 Jan
Externally publishedYes

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Constitutive equations
Thermodynamics
Continuum mechanics
Viscoelasticity
Entropy
Fluxes
Temperature

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Thermodynamic discussions for continua considering noninstantaneities. / 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. 557, 01.1993, p. 225-231.

Research output: Contribution to journalArticle

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