Thermally induced creep rupture of fiber bundles

Naoki Yoshioka, F. Kun, Nobuyasu Ito

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Subcritical fracture driven by thermally activated crack nucleation is studied in the framework of a fiber bundle model. Based on analytic calculations and computer simulations, we show that, in the presence of stress inhomogeneity thermally activated cracking results in an anomalous size effect, i.e., the average lifetime of the system decreases as a power-law of the system size. We propose a modified Arrhenius law which provides a comprehensive description of the load, temperature, and size dependence of the lifetime of the system. On the microscopic level, thermal fluctuations trigger bursts of breaking events which proved to have a power-law size distribution. The waiting times between consecutive bursts are also power-law distributed with an exponent switching between 1 and 2 as the load and temperature are varied. Analyzing the structural entropy and the location of consecutive bursts, we show that, in the presence of stress concentration, the acceleration of the rupture process close to failure is the consequence of damage localization.

Original languageEnglish
Title of host publication13th International Conference on Fracture 2013, ICF 2013
PublisherChinese Society of Theoretical and Applied Mechanics
Pages4523-4530
Number of pages8
Volume6
Publication statusPublished - 2013
Event13th International Conference on Fracture 2013, ICF 2013 - Beijing, China
Duration: Jun 16 2013Jun 21 2013

Other

Other13th International Conference on Fracture 2013, ICF 2013
CountryChina
CityBeijing
Period6/16/136/21/13

Fingerprint

creep
rupture
Creep
power law
Fibers
Stress concentration
Nucleation
Entropy
size effect
Cracks
inhomogeneity
computer simulation
Temperature
nucleation
entropy
Computer simulation
crack
temperature
damage
fibre

Keywords

  • Fiber bundle model
  • Subcritical fracture

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

Cite this

Yoshioka, N., Kun, F., & Ito, N. (2013). Thermally induced creep rupture of fiber bundles. In 13th International Conference on Fracture 2013, ICF 2013 (Vol. 6, pp. 4523-4530). Chinese Society of Theoretical and Applied Mechanics.

Thermally induced creep rupture of fiber bundles. / Yoshioka, Naoki; Kun, F.; Ito, Nobuyasu.

13th International Conference on Fracture 2013, ICF 2013. Vol. 6 Chinese Society of Theoretical and Applied Mechanics, 2013. p. 4523-4530.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yoshioka, N, Kun, F & Ito, N 2013, Thermally induced creep rupture of fiber bundles. in 13th International Conference on Fracture 2013, ICF 2013. vol. 6, Chinese Society of Theoretical and Applied Mechanics, pp. 4523-4530, 13th International Conference on Fracture 2013, ICF 2013, Beijing, China, 6/16/13.
Yoshioka N, Kun F, Ito N. Thermally induced creep rupture of fiber bundles. In 13th International Conference on Fracture 2013, ICF 2013. Vol. 6. Chinese Society of Theoretical and Applied Mechanics. 2013. p. 4523-4530
Yoshioka, Naoki ; Kun, F. ; Ito, Nobuyasu. / Thermally induced creep rupture of fiber bundles. 13th International Conference on Fracture 2013, ICF 2013. Vol. 6 Chinese Society of Theoretical and Applied Mechanics, 2013. pp. 4523-4530
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