Creep rupture of fiber bundles

F. 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
Volume7
Publication statusPublished - 2005
Event11th International Conference on Fracture 2005, ICF11 - Turin, Italy
Duration: Mar 20 2005Mar 25 2005

Other

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

Fingerprint

creep
rupture
Creep
Fibers
time dependent behavior
power law distribution
critical load
fibre
Composite materials
Relaxation processes
Relaxation time
computer simulation
power law
divergence
matrix
Computer simulation

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

Cite this

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

Creep rupture of fiber bundles. / Kun, F.; Hidalgo, Raul Cruz; Herrmann, Hans J.

11th International Conference on Fracture 2005, ICF11. Vol. 7 2005. p. 5282-5287.

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

Kun, F, Hidalgo, RC & Herrmann, HJ 2005, Creep rupture of fiber bundles. in 11th International Conference on Fracture 2005, ICF11. vol. 7, pp. 5282-5287, 11th International Conference on Fracture 2005, ICF11, Turin, Italy, 3/20/05.
Kun F, Hidalgo RC, Herrmann HJ. Creep rupture of fiber bundles. In 11th International Conference on Fracture 2005, ICF11. Vol. 7. 2005. p. 5282-5287
Kun, F. ; Hidalgo, Raul Cruz ; Herrmann, Hans J. / Creep rupture of fiber bundles. 11th International Conference on Fracture 2005, ICF11. Vol. 7 2005. pp. 5282-5287
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