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Crack-microcrack interactions in dynamical fracture.

Eran Bouchbinder1, David Kessler, Itamar Procaccia

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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Fast moving cracks interacting with microcracks cause significant velocity fluctuations. This study models this interaction, explaining experimental observations in material science.

Area of Science:

  • Material Science
  • Solid Mechanics
  • Fracture Mechanics

Background:

  • Crack propagation in stressed materials can exhibit velocity fluctuations.
  • Microcracks, either pre-existing or forming during crack evolution, may influence macrocrack dynamics.

Purpose of the Study:

  • To investigate the interaction between a fast-moving macrocrack and microcracks.
  • To explain the origin of velocity fluctuations observed in crack propagation experiments.

Main Methods:

  • Analysis of crack dynamics in two spatial dimensions.
  • Mathematical modeling using an approximation to simplify the system.
  • Derivation of ordinary differential equations for crack tip positions.

Main Results:

Related Experiment Videos

  • The interaction between a macrocrack and a microcrack leads to substantial and rapid velocity fluctuations.
  • The theoretical model qualitatively matches experimental observations of crack velocity variations.

Conclusions:

  • Microcrack interaction is a plausible mechanism for macrocrack velocity fluctuations.
  • The employed approximation simplifies complex dynamical interactions and may have broader applications.