Creep rupture of viscoelastic fiber bundles

Raul Cruz Hidalgo, F. Kun, Hans J. Herrmann

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

We study the creep rupture of bundles of viscoelastic fibers occurring under uniaxial constant tensile loading. A fiber bundle model is introduced that combines the viscoelastic constitutive behavior and the strain controlled breaking of fibers. Analytical and numerical calculations showed that above a critical external load the deformation of the system monotonically increases in time resulting in global failure at a finite time tf, while below the critical load the deformation tends to a constant value giving rise to an infinite lifetime. Our studies revealed that the nature of the transition between the two regimes, i.e., the behavior of tf at the critical load σc, strongly depends on the range of load sharing: for global load sharing tf has a power law divergence at σc with a universal exponent of 0.5, however, for local load sharing the transition becomes abrupt: at the critical load tf jumps to a finite value, analogous to second- and first-order phase transitions, respectively. The acoustic response of the bundle during creep is also studied.

Original languageEnglish
Article number032502
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number3
DOIs
Publication statusPublished - Mar 2002

Fingerprint

Load Sharing
Critical Load
Fiber Bundle
Rupture
Creep
bundles
fibers
Bundle
Fiber
Constitutive Behavior
First-order Phase Transition
Numerical Calculation
Lifetime
Divergence
Acoustics
Power Law
Jump
Exponent
Tend
Range of data

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, No. 3, 032502, 03.2002.

Research output: Contribution to journalArticle

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