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Fast crack propagation by surface diffusion.

Efim A Brener1, Robert Spatschek

  • 1Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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Surface diffusion drives rapid crack growth, overcoming singularities with a selected tip radius. This theory predicts saturated crack velocities below Rayleigh speed and potential tip splitting.

Area of Science:

  • Materials Science
  • Solid Mechanics
  • Surface Physics

Background:

  • Crack propagation is often limited by singularities at the crack tip.
  • Surface diffusion is a key mechanism in material transport and modification.
  • Understanding crack growth dynamics is crucial for material integrity.

Purpose of the Study:

  • To develop a continuum theory for fast crack growth driven by surface diffusion.
  • To investigate the role of surface diffusion in overcoming crack tip singularities.
  • To predict crack velocity, tip morphology, and potential instabilities.

Main Methods:

  • Formulation of a continuum theory incorporating surface diffusion effects.
  • Self-consistent selection of the crack tip radius to regularize the singularity.

Related Experiment Videos

  • Analysis of steady-state crack propagation and instability conditions.

    • Main Results:

    • The theory predicts a self-consistent crack tip radius, resolving the cusp singularity.
    • Steady-state crack velocities saturate below the Rayleigh speed.
    • Crack tip blunting is predicted, along with the possibility of tip splitting instability at high tensions.

    Conclusions:

    • Surface diffusion provides a viable mechanism for rapid crack growth.
    • The developed theory offers a predictive framework for crack behavior under surface diffusion-controlled conditions.
    • The findings have implications for material design and failure analysis where surface diffusion is relevant.