### Abstract

The theory of a single internal variable of state is well established including the weak nonlocality and the enrichment by extra entropy flux. The theory is based on the consideration of the internal variable of state as a tool for taking into account the internal dissipation. Inertial effects are absent in this theory by definition, which leads to parabolic evolution equations for the internal variables of state. Due to the simplicity, the single internal variable theory is the necessary first step in the construction of more sophisticated material models.

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

Title of host publication | Solid Mechanics and its Applications |

Publisher | Springer Verlag |

Pages | 35-58 |

Number of pages | 24 |

DOIs | |

Publication status | Published - Jan 1 2017 |

### Publication series

Name | Solid Mechanics and its Applications |
---|---|

Volume | 243 |

ISSN (Print) | 0925-0042 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Solid Mechanics and its Applications*(pp. 35-58). (Solid Mechanics and its Applications; Vol. 243). Springer Verlag. https://doi.org/10.1007/978-3-319-56934-5_3

**Thermomechanical single internal variable theory.** / Berezovski, Arkadi; Ván, P.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Solid Mechanics and its Applications.*Solid Mechanics and its Applications, vol. 243, Springer Verlag, pp. 35-58. https://doi.org/10.1007/978-3-319-56934-5_3

}

TY - CHAP

T1 - Thermomechanical single internal variable theory

AU - Berezovski, Arkadi

AU - Ván, P.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The theory of a single internal variable of state is well established including the weak nonlocality and the enrichment by extra entropy flux. The theory is based on the consideration of the internal variable of state as a tool for taking into account the internal dissipation. Inertial effects are absent in this theory by definition, which leads to parabolic evolution equations for the internal variables of state. Due to the simplicity, the single internal variable theory is the necessary first step in the construction of more sophisticated material models.

AB - The theory of a single internal variable of state is well established including the weak nonlocality and the enrichment by extra entropy flux. The theory is based on the consideration of the internal variable of state as a tool for taking into account the internal dissipation. Inertial effects are absent in this theory by definition, which leads to parabolic evolution equations for the internal variables of state. Due to the simplicity, the single internal variable theory is the necessary first step in the construction of more sophisticated material models.

UR - http://www.scopus.com/inward/record.url?scp=85019133514&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019133514&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-56934-5_3

DO - 10.1007/978-3-319-56934-5_3

M3 - Chapter

AN - SCOPUS:85019133514

T3 - Solid Mechanics and its Applications

SP - 35

EP - 58

BT - Solid Mechanics and its Applications

PB - Springer Verlag

ER -