Kinetic Monte Carlo algorithm for thermally induced breakdown of fiber bundles

Naoki Yoshioka, F. Kun, Nobuyasu Ito

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Fiber bundle models are one of the most fundamental modeling approaches for the investigation of the fracture of heterogeneous materials being able to capture a broad spectrum of damage mechanisms, loading conditions, and types of load sharing. In the framework of the fiber bundle model we introduce a kinetic Monte Carlo algorithm to investigate the thermally induced creep rupture of materials occurring under a constant external load. We demonstrate that the method overcomes several limitations of previous techniques and provides an efficient numerical framework at any load and temperature values. We show for both equal and localized load sharing that the computational time does not depend on the temperature; it is solely determined by the external load and the system size. In the limit of low load where the lifetime of the system diverges, the computational time saturates to a constant value. The method takes into account the secondary failures induced by subsequent load redistributions after breaking events, with the additional advantage that breaking avalanches always start from a single broken fiber.

Original languageEnglish
Article number033305
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume91
Issue number3
DOIs
Publication statusPublished - Mar 20 2015

Fingerprint

Kinetic Monte Carlo
Monte Carlo Algorithm
Fiber Bundle
bundles
Breakdown
breakdown
fibers
kinetics
Load Sharing
Heterogeneous Materials
Rupture
Avalanche
Creep
Redistribution
Diverge
Lifetime
Damage
Fiber
avalanches
Modeling

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Kinetic Monte Carlo algorithm for thermally induced breakdown of fiber bundles. / Yoshioka, Naoki; Kun, F.; Ito, Nobuyasu.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 91, No. 3, 033305, 20.03.2015.

Research output: Contribution to journalArticle

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