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Cracks in thin sheets: when geometry rules the fracture path.

B Audoly1, P M Reis, B Roman

  • 1LMM, UMR 7607 CNRS/UPMC, 4 place Jussieu, case 162, 75252 Paris cedex 05, France.

Physical Review Letters
|August 11, 2005
PubMed
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This study reveals simple geometrical rules governing brittle fracture propagation in thin elastic sheets undergoing bending. These rules accurately predict complex oscillatory crack patterns observed in experiments.

Area of Science:

  • Solid Mechanics
  • Materials Science
  • Fracture Mechanics

Background:

  • Brittle fracture in thin elastic sheets is complex, especially under bending loads.
  • Previous studies have observed intriguing oscillatory patterns in crack propagation.
  • Understanding the underlying physics of crack dynamics in such systems is crucial.

Purpose of the Study:

  • To investigate the propagation of brittle fractures coupled with large out-of-plane bending in thin elastic sheets.
  • To elucidate the geometrical rules governing crack propagation in the small thickness limit.
  • To explain the origin of experimentally observed oscillatory fracture patterns.

Main Methods:

  • Separation of bending and stretching energies in the film.
  • Application of established fracture theory.

Related Experiment Videos

  • Derivation and numerical integration of geometrical rules for crack propagation.

    • Main Results:

    • Identified simple geometrical rules for crack propagation in thin, bending brittle sheets.
    • Demonstrated that these rules explain the geometrical origin of oscillatory fracture patterns.
    • Numerical simulations accurately reproduced experimental fracture shapes and crack tip evolution.

    Conclusions:

    • The derived geometrical rules provide a fundamental understanding of brittle fracture in bending.
    • The model successfully explains complex crack patterns, offering insights into material failure.
    • This work has implications for predicting and controlling fracture behavior in thin films.