Creep rupture of viscoelastic fiber bundles

Details Creep rupture of viscoelastic fiber bundles Creep rupture of viscoelastic fiber bundles

2001-03-10

arxiv.org/abs/cond-mat/0103232v1

Phys. Rev. E 65, 032502 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, APS style, submitted for publication

Scientific paper

We study the creep rupture of bundles of viscoelastic fibers occurring under uniaxial constant tensile loading. A novel fiber bundle model is introduced which combines the viscoelastic constitutive behaviour 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 $t_f$, 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 behaviour of $t_f$ at the critical load $sigma_c$, strongly depends on the range of load sharing: for global load sharing $t_f$ has a power law divergence at $\sigma_c$ with a universal exponent of 0.5, however, for local load sharing the transition becomes abrupt: at the critical load $t_f$ 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.

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