Fatigue Effects in Elastic Materials with Variational Damage Models: A Vanishing Viscosity Approach

@article{Alessi2019FatigueEI,
  title={Fatigue Effects in Elastic Materials with Variational Damage Models: A Vanishing Viscosity Approach},
  author={R. Alessi and V. Crismale and Gianluca Orlando},
  journal={Journal of Nonlinear Science},
  year={2019},
  volume={29},
  pages={1041-1094}
}
We study the existence of quasistatic evolutions for a family of gradient damage models which take into account fatigue, that is the process of weakening in a material due to repeated applied loads. The main feature of these models is the fact that damage is favoured in regions where the cumulation of the elastic strain (or other relevant variables, depending on the model) is higher. To prove the existence of a quasistatic evolution, we follow a vanishing viscosity approach based on two steps… Expand
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