## Abstract

The derivation of a class of visco(elasto)plastic constitutive models in [8], is here discussed. The maximum inelastic dissipation principle, in an appropriate penalty version suitable to get visco(elasto)plastic constitutive equations, is invoked. The present approach generalizes the one in [33] for the elastoviscoplastic case. This generalization is allowed if: (i) the existence of the equilibrium response functional with respect to which the overstress is measured, and (ii) the existence of an instantaneous elastic [12,18,37] are assumed. A broad set of overstress functions turns out to characterize the class of models here discussed. Both the flow rule for the viscoplastic deformation and the rate form of the constitutive equation for the class of models cited above are obtained, and the behavior of this equation to very slow strain rates is investigated. A numerical simulation is also given by selecting two overstress functions available in the literature [14,22]. Loading conditions of repeated strain rate variation, monotonic strain rate with relaxation and cyclic loading at different strain rates are examined, and qualitative agreement is shown with the experimental observations done in [14,19] and references cited therein.

Original language | English (US) |
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Title of host publication | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 |

State | Published - Dec 1 2000 |

Event | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 - Barcelona, Spain Duration: Sep 11 2000 → Sep 14 2000 |

### Other

Other | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 |
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Country/Territory | Spain |

City | Barcelona |

Period | 9/11/00 → 9/14/00 |

## Keywords

- Asymptotic behavior
- Constitutive models
- Maximum dissipation principle
- Overstress
- Visco(elasto)plasticity

## ASJC Scopus subject areas

- Artificial Intelligence
- Applied Mathematics