### Abstract

In the previous paper, noninstantaneities of thermodynamic quantities were introduced in the laws of thermodynamics, to express nonequilibrium processes for continua. Then it was discussed that the time rate of temperature must be newly added to the set of state variables for materials under nonequilibrium processes. In the present paper, the thermodynamic relationships for the above materials are derived and expressed by a newly defined thermodynamic potential and by a dissipation function. Moreover, the constitutive equations are obtained on the basis of the previous results to satisfy the above relationships. The system of basic equations for the continua considering noninstantaneities of thermodynamic quantities is shown, by substituting the constitutive equations into balance laws derived in the previous paper. As a result, it is clarified that the effect of new thermal stress is introduced in the equation of motion and that the velocity of propagation of temperature is finite in the equation of heat conduction according to this theory.

Original language | English |
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Pages (from-to) | 2885-2892 |

Number of pages | 8 |

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

Volume | 59 |

Issue number | 568 |

DOIs | |

Publication status | Published - 1993 Jan 1 |

Externally published | Yes |

### Keywords

- Constitutive Equation
- Continuum Mechanics
- Entropy
- Memory
- Nonequilibrium
- Noninstantaneity
- Thermal Stress
- Thermodynamics
- Thermomechanics

### ASJC Scopus subject areas

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

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## Cite this

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

*59*(568), 2885-2892. https://doi.org/10.1299/kikaia.59.2885