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I adapted a model recently introduced in the context of seismic phenomena, tostudy creep rupture of materials. It consists of linear elastic fibers thatinteract in an equal load sharing scheme, complemented with a localviscoelastic relaxation mechanism. The model correctly describes the threestages of the creep process, namely an initial Andrade regime of creeprelaxation, an intermediate regime of rather constant creep rate, and atertiary regime of accelerated creep towards final failure of the sample. Inthe tertiary regime creep rate follows the experimentally observed one overtime-to-failure dependence. The time of minimum strain rate is systematicallyobserved to be about 60-65 % of the time to failure, in accordance withexperimental observations. In addition, burst size statistics of breakingevents display a -3/2 power law for events close to the time of failure, and asteeper decay for the all-time distribution. Statistics of interevent timesshows a tendency of the events to cluster temporarily. This behavior should beobservable in acoustic emission experiments.

Creep rupture of materials: insights from a fiber bundle model with relaxation