Mielke, A. and Roubícek, T.
(2020)
*Thermoviscoelasticity in Kelvin-Voigt
rheology at large strains.*
Arch. Rational Mech. Anal., 238
.
pp. 1-45.

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561kB |

Official URL: https://doi.org/10.1007/s00205-020-01537-z

## Abstract

The frame-indifferent thermodynamically-consistent model of thermoviscoelasticity at large strain is formulated in the reference configuration by using the concept of the second-grade nonsimple materials. We focus on physically correct viscous stresses that are frame indifferent under time-dependent rotations. Also elastic stresses are frame indifferent under rotations and respect positivity of the determinant of the deformation gradient. The heat transfer is governed by the Fourier law in the actual deformed configuration, which leads to a nontrivial description when pulled back to the reference configuration. The existence of weak solutions in the quasistatic setting, that is inertial forces are ignored, is shown by time discretization

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 2475 |

Deposited By: | Monika Drueck |

Deposited On: | 19 Oct 2020 14:58 |

Last Modified: | 19 Oct 2020 14:58 |

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