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Center for Nonlinear Studies |
We present the results of investigating a generalization of the fiber bundle model of damage which allows us to consider variations which can interpolate between the fiber bundle models and hierarchical models. In particular we consider the effects of the creation of vacancies and how this creation leads to catastrophic failure. In addition we investigate the effect of noise and stress transfer range on the failure mode and the nature of the correct theoretical description for these models. Our primary results are that the failure mode of the system is strongly dependent on the stress transfer range and the magnitude of the noise. Moreover we find that equilibrium based approaches are insufficient to describe the failure process independent of the rate of insertion of damage and healing rate.
Host: Francis Alexander