PMID: 11909128Mar 23, 2002Paper

Creep rupture of viscoelastic fiber bundles

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Raul Cruz HidalgoHans J Herrmann

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 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.

References

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Citations

Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Srutarshi Pradhan, Per C Hemmer
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C A SerinoJ B Rundle
May 24, 2015·The European Physical Journal. E, Soft Matter·Fabio MancaFabrizio Cleri
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Srutarshi PradhanBikas K Chakrabarti
Sep 15, 2016·Physical Review. E·Juha KoivistoMikko J Alava
Aug 5, 2017·Materials·Shengwang HaoXiangzhou Liang
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naoki YoshiokaNobuyasu Ito
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sheng-Wang HaoJi-Feng Tian
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zoltán HalászFerenc Kun
Mar 24, 2005·Physical Review Letters·H NechadD Sornette
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Noël ChallamelCharles Casandjian
Oct 26, 2002·Physical Review Letters·L I SalminenM J Alava
Mar 21, 2008·Physical Review Letters·F KunH J Herrmann
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K KovácsI Pagonabarraga
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Theocharis Baxevanis, Theodoros Katsaounis
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Lennartz-SassinekF Kun
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ferenc KunKároly F Pál

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