Title | Rate-independent damage in thermo-viscoelastic materials with inertia |

Publication Type | Preprint |

2014 | |

Authors | Lazzaroni, G, Rossi, R, Thomas, M, Toader, R |

Document Number | SISSA;52/2014/MATE |

Institution | SISSA |

We present a model for rate-independent, unidirectional, partial damage in visco-elastic materials with inertia and thermal effects. The damage process is modeled by means of an internal variable, governed by a rate-independent flow rule. The heat equation and the momentum balance for the displacements are coupled in a highly nonlinear way. Our assumptions on the corresponding energy functional also comprise the case of the Ambrosio-Tortorelli phase-field model (without passage to the brittle limit). We discuss a suitable weak formulation and prove an existence theorem obtained with the aid of a (partially) decoupled time-discrete scheme and variational convergence methods. | |

http://urania.sissa.it/xmlui/handle/1963/7444 |

## Rate-independent damage in thermo-viscoelastic materials with inertia

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