### 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 |
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Pages (from-to) | 900-906 |

Number of pages | 7 |

Journal | Transactions of the Japan Society of Mechanical Engineers Series A |

Volume | 57 |

Issue number | 536 |

DOIs | |

Publication status | Published - 1991 Jan 1 |

Externally published | Yes |

### Keywords

- Constitutive Equation
- Continuum Mechanics
- Dissipation Function
- Energy Balance Equation
- Entropy Inequality Free Energy
- Higher Stage Polar Material
- Thermodynamics
- Thermomechanics

### ASJC Scopus subject areas

- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering

## Fingerprint Dive into the research topics of 'Continuum Mechanics for Higher-Stage Micropolar Materials (4th Report, Discussions of Thermodynamics for Constitutive Equations)'. Together they form a unique fingerprint.

## Cite this

*Transactions of the Japan Society of Mechanical Engineers Series A*,

*57*(536), 900-906. https://doi.org/10.1299/kikaia.57.900