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Diffuse interface approach to brittle fracture.

V I Marconi1, E A Jagla

  • 1The Abdus Salam ICTP, Strada Costiera 11, 34014 Trieste, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
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This study introduces a new continuum model for crack propagation in brittle materials. The model accurately predicts fracture behavior and is mesh-independent, simplifying crack modeling.

Area of Science:

  • Solid Mechanics
  • Materials Science
  • Computational Physics

Background:

  • Understanding crack propagation in brittle materials is crucial for structural integrity.
  • Existing models often face challenges with mesh dependency and accurately capturing fracture physics.

Purpose of the Study:

  • To develop a novel continuum model for crack and fracture propagation.
  • To ensure the model accounts for energy saturation at large strains and is regularized for mesh independence.
  • To validate the model against established fracture mechanics principles and complex geometries.

Main Methods:

  • Utilizing strain tensor components as fundamental variables.
  • Formulating evolution equations based on a free energy function incorporating regularization terms.

Related Experiment Videos

  • Implementing the model to simulate crack growth in various configurations.

    • Main Results:

    • The model successfully reproduces Griffith's law for critical stress dependence on crack length.
    • Regularization ensures numerical results are insensitive to the chosen computational mesh.
    • Demonstrated accurate prediction of crack growth and curving in a complex geometrical setup.

    Conclusions:

    • The presented continuum model offers a robust and computationally efficient approach to fracture analysis.
    • The model's mesh independence simplifies practical applications in predicting material failure.
    • This work provides a valuable tool for analyzing crack dynamics in brittle materials.