Modelling Time Dependency

  • Baotang Shen
  • Ove Stephansson
  • Mikael Rinne


This chapter describes the theories of sub-critical crack growth and numerical procedures implemented in FRACOD. Classical fracture mechanics postulates that a fracture tip with a stress intensity equal to the material’s critical fracture toughness will accelerate to speeds approaching the elastic wave speed in a medium. However, in cases of long-term loading, fractures can grow at stress intensities significantly lower than the critical values. This process is called subcritical fracture growth (SCG); SCG and propagation velocities can vary over many orders of magnitude as a function of stress intensity. In FRACOD the subcritical crack growth is modelled by considering the crack length as a function of time. Using the subcritical crack growth function, the time-dependent stability of fractured rock masses can be modelled.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Baotang Shen
    • 1
  • Ove Stephansson
    • 2
  • Mikael Rinne
    • 3
  1. 1.CSIRO Earth Science and Resource EngineeringBrisbaneAustralia
  2. 2.Helmholtz Centre Potsdam GFZ German Research Centre for GeosciencesPotsdamGermany
  3. 3.School of Engineering Department of Civil and Environmental Engineering, GeoengineeringAalto UniversityEspooFinland

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