Scaling shift in multicracked fiber bundles.

Area of Science:

• Materials Science
• Physics
• Mechanical Engineering

Background:

• Fiber bundles are common in nature and technology.
• Understanding bundle degradation is crucial for material durability.

Purpose of the Study:

• To theoretically model and analyze the degradation of fiber bundles under external damage.
• To investigate the transition in mechanical properties during progressive damage.

Main Methods:

• Developed a theoretical model for parallel fibers with lateral coupling.
• Simulated crack propagation and its effect on bundle integrity.
• Employed Monte Carlo simulations and analytical solutions.

Main Results:

• Observed a scaling shift in Young's modulus degradation with increasing crack density.
• Identified distinct exponential and power-law regimes.
• Model confirmed through analytical solutions.

Conclusions:

• The theoretical model accurately describes fiber bundle degradation.
• The scaling shift highlights critical changes in material behavior under damage.
• Provides a fundamental understanding of bundle mechanics and failure.