Abstract
Thermodynamic quantities of state are defined under the nonequilibrium processes by the thermopolar theory. Constitutive equations for thermopolar materials are constructed on the basis of the results of the previous reports. As preliminary data, the arguments of the quasi-conservative part of the constitutive equations are restricted by the Clausius-Duhem inequality derived in the previous report. Moreover, the thermodynamic potentials are discussed; these are not only Helmholz's free energy, but also newly defined thermodynamic potential characterizing thermopolar materials. Then dissipative parts of the constitutive equations are restricted to satisfy the principle of maximal dissipation rate. Furthermore, the constitutive equations for thermopolar materials are constructed thermodynamically on the basis of the above discussion. Consequently, considering the physical interpretations of the linear constitutive equations, it is indicated that both the quasi-conservative internal force and the dissipative internal forces depend on the microscopic gradient of temperature.
| Original language | English |
|---|---|
| Pages (from-to) | 607-613 |
| Number of pages | 7 |
| Journal | Transactions of the Japan Society of Mechanical Engineers Series A |
| Volume | 58 |
| Issue number | 548 |
| DOIs | |
| Publication status | Published - 1992 |
| Externally published | Yes |
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Keywords
- Constitutive Equation
- Continuum Mechanics
- Material Design
- Microscopic Gradient of Temperature
- Nonequilibrium
- Thermal Stress
- Thermodynamics
- Thermopolar Material
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
Constitutive Equations for Thermopolar Materials with Microscopic Gradient of Temperature. / Kobayashi, Seiichi; Shizawa, Kazuyuki; Takahashi, Kunihiro.
In: Transactions of the Japan Society of Mechanical Engineers Series A, Vol. 58, No. 548, 1992, p. 607-613.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Constitutive Equations for Thermopolar Materials with Microscopic Gradient of Temperature
AU - Kobayashi, Seiichi
AU - Shizawa, Kazuyuki
AU - Takahashi, Kunihiro
PY - 1992
Y1 - 1992
N2 - Thermodynamic quantities of state are defined under the nonequilibrium processes by the thermopolar theory. Constitutive equations for thermopolar materials are constructed on the basis of the results of the previous reports. As preliminary data, the arguments of the quasi-conservative part of the constitutive equations are restricted by the Clausius-Duhem inequality derived in the previous report. Moreover, the thermodynamic potentials are discussed; these are not only Helmholz's free energy, but also newly defined thermodynamic potential characterizing thermopolar materials. Then dissipative parts of the constitutive equations are restricted to satisfy the principle of maximal dissipation rate. Furthermore, the constitutive equations for thermopolar materials are constructed thermodynamically on the basis of the above discussion. Consequently, considering the physical interpretations of the linear constitutive equations, it is indicated that both the quasi-conservative internal force and the dissipative internal forces depend on the microscopic gradient of temperature.
AB - Thermodynamic quantities of state are defined under the nonequilibrium processes by the thermopolar theory. Constitutive equations for thermopolar materials are constructed on the basis of the results of the previous reports. As preliminary data, the arguments of the quasi-conservative part of the constitutive equations are restricted by the Clausius-Duhem inequality derived in the previous report. Moreover, the thermodynamic potentials are discussed; these are not only Helmholz's free energy, but also newly defined thermodynamic potential characterizing thermopolar materials. Then dissipative parts of the constitutive equations are restricted to satisfy the principle of maximal dissipation rate. Furthermore, the constitutive equations for thermopolar materials are constructed thermodynamically on the basis of the above discussion. Consequently, considering the physical interpretations of the linear constitutive equations, it is indicated that both the quasi-conservative internal force and the dissipative internal forces depend on the microscopic gradient of temperature.
KW - Constitutive Equation
KW - Continuum Mechanics
KW - Material Design
KW - Microscopic Gradient of Temperature
KW - Nonequilibrium
KW - Thermal Stress
KW - Thermodynamics
KW - Thermopolar Material
UR - http://www.scopus.com/inward/record.url?scp=85008286196&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85008286196&partnerID=8YFLogxK
U2 - 10.1299/kikaia.58.607
DO - 10.1299/kikaia.58.607
M3 - Article
AN - SCOPUS:85008286196
VL - 58
SP - 607
EP - 613
JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
SN - 0387-5008
IS - 548
ER -