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Fracture patterns generated by diffusion controlled volume changing reactions.

A Malthe-Sørenssen1, B Jamtveit, P Meakin

  • 1Physics of Geological Processes, University of Oslo, Box 1048 Blindern, N-0316 Oslo, Norway.

Physical Review Letters
|August 16, 2006
PubMed
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This study models fracture growth in decomposing solids, revealing self-sustaining patterns driven by volume reduction. Fracture propagation velocity depends on whether evaporation or diffusion kinetics control the process.

Area of Science:

  • Materials Science
  • Chemical Engineering
  • Solid Mechanics

Background:

  • Fracture growth in chemically decomposing solids is a complex phenomenon.
  • Understanding the kinetics of fracture propagation is crucial for predicting material failure.
  • Previous theoretical analyses, such as Yakobson's work, provide a basis for studying these processes.

Purpose of the Study:

  • To develop a two-dimensional model for fracture growth in chemically decomposing solids.
  • To investigate the influence of rapid chemical decomposition on fracture kinetics.
  • To analyze fracture propagation under conditions controlled by diffusion or evaporation.

Main Methods:

  • Development of a simplified two-dimensional model.
  • Simulations conducted under rapid chemical decomposition conditions.

Related Experiment Videos

  • Analysis of fracture growth kinetics controlled by diffusion or evaporation.

    • Main Results:

    • Fracture pattern growth is self-sustaining due to volume reduction during decomposition.
    • Fracture front velocity is constant under evaporation-controlled conditions (v ≈ k^(2/3)D^(1/3)l0^(1/3)).
    • Fracture front velocity is constant under diffusion-controlled conditions (v ≈ D/l0).
    • Front width scales with w ≈ (kl0/D) under diffusion control.

    Conclusions:

    • The model successfully captures self-sustaining fracture growth in decomposing solids.
    • Fracture propagation velocity is predictable and dependent on rate-limiting kinetics (evaporation or diffusion).
    • The findings align with theoretical predictions and provide insights into material degradation mechanisms.