pure and applied geophysics

, Volume 133, Issue 2, pp 229–249 | Cite as

Micromechanics model of ice fields—II: Monte Carlo simulation

  • M. Ostoja-Starzewski


The graph model presented in Part I of this series provides the basis for development of a computer simulation of tightly packed ice fields taken as ensembles of square-shaped ice floes with random physical properties. A program based on an alternating-direction scheme is developed to model the time evolution of a field of ice floes in a rectangular domain. The simulation of a field in an Arctic channel shows that there is a strong tendency for an earlier onset of microscale plastic flows and formation of irregular clusters of ice floes and openings in a field with spatially random properties versus a field with deterministic spatially homogeneous properties. A special study is conducted of an elastic-plastic transition in a field of 101×101 floes. The transition to macroscopically plastic flow is possible only with a percolation of inelastic regions through the entire domain of the ice field. The fact that this percolation is characterized by a noninteger fractal dimension uncovers a (possibly principal) generation mechanism of ice field morphologies, and points to scale dependence in mechanics of ice fields for certain ranges of loads.

Key words

Micromechanics of ice fields constitutive response fractals 


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Copyright information

© Birkhäuser Verlag 1990

Authors and Affiliations

  • M. Ostoja-Starzewski
    • 1
  1. 1.School of Aeronautics and AstronauticsPurdue UniversityWest LafayetteUSA

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