Abstract
Thermopolar theory explains nonequilibrium processes, introducing the nonlocalities of thermodynamic quantities in continuum mechanics. In a previous report considering this concept, thermodynamic laws and the balance law for fluctuations of thermodynamic quantities were formulated, and the constitutive equations for thermopolar materials were constructed. In this paper, the basic equations governing thermopolar materials with microscopic gradient of temperature are discussed on the basis of previous results. Moreover, these basic equations are applied to thermopolar materials, and relations among the moduli, which were defined when the constitutive equations were constructed, are derived. As the result of these investigations, it is clarified that the heat conduction of thermopolar materials with microscopic gradient of temperature is governed not only by the equation of heat conduction but also by the equation for the balance of the microscopic gradient of temperature.
| Original language | English |
|---|---|
| Pages (from-to) | 725-730 |
| Number of pages | 6 |
| Journal | Transactions of the Japan Society of Mechanical Engineers Series A |
| Volume | 58 |
| Issue number | 549 |
| DOIs | |
| Publication status | Published - 1992 |
| Externally published | Yes |
Fingerprint
Keywords
- Constitutive Equation
- Continuum Mechanics
- Material Design
- Microscopic Gradient of Temperature
- Nonequilibrium
- Thermal Stress
- Thermodynamics
- Thermoelasticity
- Thermopolar Material
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
Basic 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. 549, 1992, p. 725-730.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Basic Equations for Thermopolar Materials with Microscopic Gradient of Temperature
AU - Kobayashi, Seiichi
AU - Shizawa, Kazuyuki
AU - Takahashi, Kunihiro
PY - 1992
Y1 - 1992
N2 - Thermopolar theory explains nonequilibrium processes, introducing the nonlocalities of thermodynamic quantities in continuum mechanics. In a previous report considering this concept, thermodynamic laws and the balance law for fluctuations of thermodynamic quantities were formulated, and the constitutive equations for thermopolar materials were constructed. In this paper, the basic equations governing thermopolar materials with microscopic gradient of temperature are discussed on the basis of previous results. Moreover, these basic equations are applied to thermopolar materials, and relations among the moduli, which were defined when the constitutive equations were constructed, are derived. As the result of these investigations, it is clarified that the heat conduction of thermopolar materials with microscopic gradient of temperature is governed not only by the equation of heat conduction but also by the equation for the balance of the microscopic gradient of temperature.
AB - Thermopolar theory explains nonequilibrium processes, introducing the nonlocalities of thermodynamic quantities in continuum mechanics. In a previous report considering this concept, thermodynamic laws and the balance law for fluctuations of thermodynamic quantities were formulated, and the constitutive equations for thermopolar materials were constructed. In this paper, the basic equations governing thermopolar materials with microscopic gradient of temperature are discussed on the basis of previous results. Moreover, these basic equations are applied to thermopolar materials, and relations among the moduli, which were defined when the constitutive equations were constructed, are derived. As the result of these investigations, it is clarified that the heat conduction of thermopolar materials with microscopic gradient of temperature is governed not only by the equation of heat conduction but also by the equation for the balance of 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 - Thermoelasticity
KW - Thermopolar Material
UR - http://www.scopus.com/inward/record.url?scp=84998389320&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84998389320&partnerID=8YFLogxK
U2 - 10.1299/kikaia.58.725
DO - 10.1299/kikaia.58.725
M3 - Article
AN - SCOPUS:84998389320
VL - 58
SP - 725
EP - 730
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 - 549
ER -