Creep rupture of fiber bundles

Ferenc Kun, Raul Cruz Hidalgo, Hans J. Herrmann

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

Abstract

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
Pages5282-5287
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
Volume7

Other

Other11th International Conference on Fracture 2005, ICF11
CountryItaly
CityTurin
Period3/20/053/25/05

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

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  • Cite this

    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).