Creep rupture of fiber bundles

Ferenc Kun, Raul Cruz Hidalgo, Hans J. Herrmann

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We present fiber bundle models of creep rupture of fiber composites considering two different microscopic mechanisms that can lead to time dependent macroscopic behavior: (i) the fibers themselves are visco-elastic showing time dependent deformation under a constant load and break when their deformation exceeds a stochastically distributed threshold value. (ii) The fibers are linearly elastic until they break in a stochastic manner, however, the load on them does not drop down to zero instantaneously after breaking, due to the creeping matrix, they undergo a slow relaxation process. Assuming global load sharing following fiber failure, we show by analytic calculations and computer simulations in both models that increasing the external load a transition takes place in the system from a partially failed state of infinite lifetime to a state where global failure occurs at a finite time. It was found that irrespective of the details of the two models, a universal behavior emerges in the vicinity of the critical point: the relaxation time and the lifetime of the composite exhibit a power law divergence with an exponent independent of the disorder distribution of fiber strength. Above the critical point the lifetime of the bundle has a universal scaling with the system size. On the micro level the process of fiber breaking is characterized by a power law distribution of waiting times between consecutive fiber breaks below and above the critical load.

Original languageEnglish
Title of host publication11th International Conference on Fracture 2005, ICF11
Number of pages6
Publication statusPublished - Dec 1 2005
Event11th International Conference on Fracture 2005, ICF11 - Turin, Italy
Duration: Mar 20 2005Mar 25 2005

Publication series

Name11th International Conference on Fracture 2005, ICF11


Other11th International Conference on Fracture 2005, ICF11

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

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    Kun, F., Hidalgo, R. C., & Herrmann, H. J. (2005). Creep rupture of fiber bundles. In 11th International Conference on Fracture 2005, ICF11 (pp. 5282-5287). (11th International Conference on Fracture 2005, ICF11; Vol. 7).