To understand general properties of creep failure with healing effects, we study a fiber bundle model in the mean-field limit 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. Fluctuations around steady states are jerky, characterized by a power-law statistics. Transient behaviors also involve a power law with a non-universal exponent. Steady states turn to meta-stable states if the healing process occurs only for finite times.
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