Abstract
To understand general properties of creep failure with healing effects, we study a mean-field fiber bundle model with probabilistic rupture and rejoining processes. The dynamics of the model is determined by two factors: bond breaking and formation of new bonds. Steady states are realized due to the balance between breaking and healing beyond a critical healing factor, below which the bundle breaks completely. Correlation between the fluctuating value of strain generated in the model with time at the steady state leads to a characteristic time that diverges in a scale-free manner as we approach the critical healing factor. Transient behaviors in the strain rate also involve a power law with a nonuniversal exponent.
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