### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 900-906 |

Number of pages | 7 |

Journal | Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A |

Volume | 57 |

Issue number | 536 |

Publication status | Published - 1991 Apr |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*,

*57*(536), 900-906.

**Continuum mechanics for higher-stage micropolar materials (4th report, discussions of thermodynamics for constitutive equations).** / Shizawa, Kazuyuki; Kobayashi, Seiichi; Takahashi, Kunihiro.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*, vol. 57, no. 536, pp. 900-906.

}

TY - JOUR

T1 - Continuum mechanics for higher-stage micropolar materials (4th report, discussions of thermodynamics for constitutive equations)

AU - Shizawa, Kazuyuki

AU - Kobayashi, Seiichi

AU - Takahashi, Kunihiro

PY - 1991/4

Y1 - 1991/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026136073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026136073&partnerID=8YFLogxK

M3 - Article

VL - 57

SP - 900

EP - 906

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 - 536

ER -