Paris' law, damage cumulative laws and disorder

dear friends

    I have been playing with a recent model on Paris law from a very good group of physicists, but added some engineering perspective and I think the predictions they make a quite unrealistic in a possible range of material parameters:-   in particular, there is a regime where most interesting behaviour (disorder effects, avalanches) occurs, but which I find also associated with quite unexpected or unrealistic deviation from Paris law.You can find a preprint here https://www.researchgate.net/publication/355155183_Comments_on_Subcritical_crack_growth_the_microscopic_origins_of_Paris'_law_by_Vieira_Andrade_and_HerrmannIf you have comments, you are welcome!RegardsMike