Stochastic study on effects of material and physical parameters on slow crack growth behaviors of HDPE using the crack layer theory

Jung Wook Wee, Byoung Ho Choi

Research output: Contribution to journalArticle


High-density polyethylene exhibits discontinuous slow crack growth (SCG) mode in fatigue and creep conditions. To simulate the unique SCG mode, the crack layer (CL) theory can be adopted as an alternative method. However, the stochastic approach is also required for reliability-related problems. In this study, the current deterministic CL model was modified to describe the stochastic discontinuous SCG. First, the influence of the normally distributed nine input parameters in CL simulation on discontinuous SCG kinetics and the resulting lifetime distributions were thoroughly investigated. Second, important CL parameters that affect discontinuous SCG kinetics and the final lifetimes were identified. Then, the 2- and 3-parameter Weibull function and the Birnbaum–Saunders (B–S) function were compared to determine the function that correctly fits the lifetime distribution from discontinuous SCG. Finally, appropriate equations of the scale and shape parameters of the B–S function were developed with regard to the identified parameters.

Original languageEnglish
Pages (from-to)13-27
Number of pages15
JournalInternational Journal of Solids and Structures
Publication statusPublished - 2020 Jun 15


  • Birnbaum–Saunders distribution function
  • Crack layer theory
  • High density polyethylene
  • Slow crack growth
  • Stochastic analysis

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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