### 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 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 behavior of t_{f} at the critical load σ_{c}, strongly depends on the range of load sharing: for global load sharing t_{f} has a power law divergence at σ_{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.

Original language | English |
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Article number | 032502 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 65 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 2002 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*65*(3), [032502]. https://doi.org/10.1103/PhysRevE.65.032502

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

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 65, no. 3, 032502. https://doi.org/10.1103/PhysRevE.65.032502

}

TY - JOUR

T1 - Creep rupture of viscoelastic fiber bundles

AU - Hidalgo, Raul Cruz

AU - Kun, F.

AU - Herrmann, Hans J.

PY - 2002/3

Y1 - 2002/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=41349115270&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41349115270&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.65.032502

DO - 10.1103/PhysRevE.65.032502

M3 - Article

AN - SCOPUS:41349115270

VL - 65

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3

M1 - 032502

ER -