### Аннотация

A model of finite-strain visco-plasticity proposed by Simo and Miehe (1992) is considered. The model is based on the multiplicative split of the deformation gradient, combined with hyperelastic relations between elastic strains and stresses. This setup is a backbone of many advanced models of visco-elasticity and visco-plasticity. Therefore, its efficient numerical treatment is of practical interest. Since the underlying evolution equation is stiff, implicit time integration is required. A discretization of Euler backward type yields a system of nonlinear algebraic equations. The system is usually solved numerically by Newton-Raphson iteration or its modifications. In the current study, a practically important case of the Mooney-Rivlin potential is analyzed. The solution of the discretized evolution equation can be obtained in a closed form in case of a constant viscosity. In a more general case of stress-dependent viscosity, the problem is reduced to the solution of a single scalar equation or, in some situations, even can be solved explicitly. Simulation results for demonstration problems pertaining to large-strain deformation of different types of viscoelastic materials are presented.

Язык оригинала | английский |
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Название основной публикации | Proceedings of the 6th European Conference on Computational Mechanics |

Подзаголовок основной публикации | Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 |

Редакторы | Roger Owen, Rene de Borst, Jason Reese, Chris Pearce |

Издатель | International Centre for Numerical Methods in Engineering, CIMNE |

Страницы | 1927-1937 |

Число страниц | 11 |

ISBN (электронное издание) | 9788494731167 |

Состояние | Опубликовано - 1 янв 2020 |

Событие | 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 - Glasgow, Великобритания Продолжительность: 11 июн 2018 → 15 июн 2018 |

### Серия публикаций

Название | Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 |
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### Конференция

Конференция | 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 |
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Страна | Великобритания |

Город | Glasgow |

Период | 11.06.2018 → 15.06.2018 |

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## Цитировать

*Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018*(стр. 1927-1937). (Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018). International Centre for Numerical Methods in Engineering, CIMNE.