Crossover of Failure Time Distributions in a Model of Time-Dependent Fracture

Mikko J. Alava*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

An important question in the theory of fracture is what kind of lifetime distributions may exist for materials under load. Here, this is studied in the context of a one-dimensional fracture model with local load sharing under a constant external load, “creep.” Simulations of the system with Weibull distributed initial lifetimes for the elements show that the limiting distribution follows from extreme statistics and takes the Gumbel form eventually, with longer and longer crossovers in the system size from a Weibull-like distribution, depending on the initial Weibull exponent.

Original languageEnglish
Article number686195
Number of pages5
JournalFrontiers in Physics
Volume9
DOIs
Publication statusPublished - 28 Jun 2021
MoE publication typeA1 Journal article-refereed

Keywords

  • extreme value statistical distributions
  • fiber bundle
  • fracture
  • strength distribution
  • time-dependent failure

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