Creep rupture of viscoelastic fiber bundles
Abstract
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.
- Publication:
-
Physical Review E
- Pub Date:
- March 2002
- DOI:
- 10.1103/PhysRevE.65.032502
- arXiv:
- arXiv:cond-mat/0103232
- Bibcode:
- 2002PhRvE..65c2502C
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 4 pages, 4 figures, APS style, submitted for publication