Creep rupture has two universality classes

F. Kun, Y. Moreno, R. C. Hidalgo, H. J. Herrmann

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

Objects subject to a steady load will often resist it for a long time before weakening and suddenly failing. This process can be studied by fiber bundle models, in which fibers fail in a random fashion that depends both upon the integrity of their neighbors and the load to which they are subjected. In this letter, we introduce a new fiber bundle model that allows us to examine how the behavior of such a system depends upon the range over which each fiber interacts with its neighbors. Using analytical and numerical arguments, we show that for all systems there is a critical load below which the system reaches equilibrium, and above which it fails in finite time. We consider how the time to failure depends upon how much the applied load exceeds the critical load, and find two universality classes. For short-range interactions, failure is abrupt, and time to failure is indepeadent of load. For long-range interactions, the time to failure depends upon the excess load as a power law. The transition between these two universality classes is sharp as a function of the range of interaction. In both universality classes, the distribution of times between breaking events obeys a power law as the system creeps towards failure.

Original languageEnglish
Pages (from-to)347-353
Number of pages7
JournalEPL
Volume63
Issue number3
DOIs
Publication statusPublished - Aug 2003

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fibers
bundles
interactions
integrity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Kun, F., Moreno, Y., Hidalgo, R. C., & Herrmann, H. J. (2003). Creep rupture has two universality classes. EPL, 63(3), 347-353. https://doi.org/10.1209/epl/i2003-00469-9

Creep rupture has two universality classes. / Kun, F.; Moreno, Y.; Hidalgo, R. C.; Herrmann, H. J.

In: EPL, Vol. 63, No. 3, 08.2003, p. 347-353.

Research output: Contribution to journalArticle

Kun, F, Moreno, Y, Hidalgo, RC & Herrmann, HJ 2003, 'Creep rupture has two universality classes', EPL, vol. 63, no. 3, pp. 347-353. https://doi.org/10.1209/epl/i2003-00469-9
Kun F, Moreno Y, Hidalgo RC, Herrmann HJ. Creep rupture has two universality classes. EPL. 2003 Aug;63(3):347-353. https://doi.org/10.1209/epl/i2003-00469-9
Kun, F. ; Moreno, Y. ; Hidalgo, R. C. ; Herrmann, H. J. / Creep rupture has two universality classes. In: EPL. 2003 ; Vol. 63, No. 3. pp. 347-353.
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