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Oscillatory instability in two-dimensional dynamic fracture.

Eran Bouchbinder1, Itamar Procaccia

  • 1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review Letters
|May 16, 2007
PubMed
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Dynamic crack stability in a 2D strip was studied. A finite wavelength oscillatory mode causes instability at a specific velocity range, near the Rayleigh wave speed.

Area of Science:

  • Solid Mechanics
  • Fracture Mechanics
  • Materials Science

Background:

  • Understanding crack propagation is crucial for material integrity.
  • Dynamic crack stability is a complex phenomenon influenced by material properties and crack speed.
  • Previous studies have reported oscillatory instabilities in dynamic fracture experiments.

Purpose of the Study:

  • To theoretically investigate the stability of rapid dynamic cracks in a 2D infinite strip.
  • To identify the conditions under which a dynamic crack becomes unstable.
  • To relate theoretical predictions to experimental observations of oscillatory crack instability.

Main Methods:

  • Linear elastic fracture mechanics framework.
  • Incorporation of a modified principle of local symmetry.

Related Experiment Videos

  • Analysis of crack behavior at high velocities.

    • Main Results:

    • A single crack is predicted to become unstable via a finite wavelength oscillatory mode.
    • Instability occurs at a critical velocity (vc) within the range 0.8cR < vc < 0.85cR.
    • cR represents the Rayleigh wave speed.

    Conclusions:

    • The theoretical model predicts a specific velocity range for dynamic crack instability.
    • The predicted oscillatory instability mode aligns with experimental findings.
    • This study provides a theoretical basis for understanding experimentally observed dynamic fracture phenomena.