TY - JOUR

T1 - Thermodynamic Discussions for Continua Considering Microscopic Curvature of Temperature

AU - Kobayashi, Seiichi

AU - Shizawa, Kazuyuki

AU - Takahashi, Kunihiro

PY - 1993/1/1

Y1 - 1993/1/1

N2 - In this paper, the thermodynamic behavior of materials for nonequilibrium processes is discussed in continuum mechanics. The hypothesis of local equilibrium is assumed in a point of continua in conventional theory. In the previous paper, to avoid the above hypothesis, gradients of the thermodynamic quantities were introduced in the entropy inequality on the basis of the concept of thermopolar materials, to construct the basic theory. In the present paper, the average value and fluctuations of thermodynamic quantities are strictly defined. Therefore, Clausius-Duhem inequality and balance equations for fluctuations are newly derived considering the balance laws of microscopic energy moment for not only the 1st order, but also the 2nd order. Moreover, the arguments of response functions for internal forces and new dissipative fluxes are determined. As a result, it is suggested that the constitutive equations and heat conduction also depend on the microscopic curvature of the temperature for nonequilibrium processes.

AB - In this paper, the thermodynamic behavior of materials for nonequilibrium processes is discussed in continuum mechanics. The hypothesis of local equilibrium is assumed in a point of continua in conventional theory. In the previous paper, to avoid the above hypothesis, gradients of the thermodynamic quantities were introduced in the entropy inequality on the basis of the concept of thermopolar materials, to construct the basic theory. In the present paper, the average value and fluctuations of thermodynamic quantities are strictly defined. Therefore, Clausius-Duhem inequality and balance equations for fluctuations are newly derived considering the balance laws of microscopic energy moment for not only the 1st order, but also the 2nd order. Moreover, the arguments of response functions for internal forces and new dissipative fluxes are determined. As a result, it is suggested that the constitutive equations and heat conduction also depend on the microscopic curvature of the temperature for nonequilibrium processes.

KW - Constitutive Equation

KW - Entropy

KW - Material Design

KW - Micropolar Materials

KW - Nonequilibrium

KW - Nonlocality

KW - Thermal Stress

KW - Thermodynamics

KW - Thermopolar Materials

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U2 - 10.1299/kikaia.59.232

DO - 10.1299/kikaia.59.232

M3 - Article

AN - SCOPUS:0027270633

SN - 0387-5008

VL - 59

SP - 232

EP - 239

JO - Transactions of the Japan Society of Mechanical Engineers Series A

JF - Transactions of the Japan Society of Mechanical Engineers Series A

IS - 557

ER -