Continuum field description of crack propagation

Area of Science:

• Solid Mechanics
• Materials Science
• Computational Physics

Background:

• Understanding crack propagation in brittle amorphous solids is crucial for material design and failure analysis.
• Existing models often struggle to capture the full spectrum of fracture phenomena.
• Amorphous solids present unique challenges due to their disordered structure.

Purpose of the Study:

• To develop a unified continuum field model for crack propagation in brittle amorphous solids.
• To incorporate defect dynamics into fracture modeling.
• To simulate and understand diverse crack behaviors.

Main Methods:

• Developed a continuum field model combining elastic displacement equations with an order parameter equation.
• The order parameter equation accounts for the dynamics of defects.
• Simulated crack initiation, propagation, instability, sound emission, branching, and fragmentation.

Main Results:

• The model successfully captures the phenomenology of crack propagation.
• Demonstrated the ability to simulate crack initiation and stable propagation.
• Observed dynamic fracture instability, sound emission, crack branching, and fragmentation events.

Conclusions:

• The developed continuum field model provides a comprehensive framework for studying brittle fracture.
• This approach integrates elastic and defect dynamics for a more complete description of crack behavior.
• The model offers insights into the complex mechanisms governing failure in amorphous solids.