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Related Experiment Videos

Fracture in mode I using a conserved phase-field model.

L O Eastgate1, J P Sethna, M Rauscher

  • 1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
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This study introduces a phase-field model for crack propagation, simplifying fracture mechanics by avoiding numerical front tracking. The model naturally predicts crack growth laws and reveals Griffith's threshold underestimates fracture values.

Area of Science:

  • Continuum mechanics
  • Fracture mechanics
  • Materials science

Background:

  • Classical fracture mechanics often relies on complex interface theories or empirical data.
  • Numerical front tracking in simulations can be computationally intensive and challenging.
  • Understanding crack propagation requires robust and physically grounded models.

Purpose of the Study:

  • To present a novel continuum phase-field model for simulating crack propagation.
  • To demonstrate how macroscopic crack growth laws emerge naturally from the model.
  • To avoid numerical front tracking and simplify fracture simulations.

Main Methods:

  • Developed a phase-field model incorporating a phase-field proportional to mass density.
  • Utilized a displacement field governed by linear elastic theory.

Related Experiment Videos

  • Analyzed stationary solutions and mode I fracture scenarios.

    • Main Results:

    • Generic macroscopic crack growth laws were observed to emerge naturally from the model.
    • The phase-field approach smoothed the crack interface, eliminating the need for numerical front tracking.
    • Griffith's threshold was found to underestimate the critical fracture value due to excited long wavelength modes.

    Conclusions:

    • The presented phase-field model offers a physically grounded and computationally efficient alternative to classical fracture mechanics.
    • Interface dynamics in crack propagation can be naturally captured through phase-field evolution.
    • The model highlights limitations of Griffith's theory in certain fracture scenarios.