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Roughness of crack interfaces in two-dimensional beam lattices
1Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway.
Physical Review Letters
|October 3, 2001
Summary
Investigating crack interface roughness in quasistatic fracture reveals a roughness exponent of zeta = 0.86(3) under strong disorder. This differs from minimum energy surface exponents, with lower values observed as disorder decreases.
Area of Science:
- Materials Science
- Physics
- Fracture Mechanics
Background:
- Crack propagation is a critical phenomenon in material failure.
- Understanding crack interface roughness is key to predicting material behavior.
- Previous studies often focused on idealized fracture models.
Purpose of the Study:
- To quantify the roughness exponent of crack interfaces in quasistatic fracture.
- To investigate the influence of disorder on crack interface morphology.
- To compare the obtained roughness exponent with theoretical predictions.
Main Methods:
- Utilized an elastic network model of beams with random breaking thresholds.
- Simulated quasistatic fracture processes.
- Analyzed crack interface profiles to determine roughness exponents.
Main Results:
- Obtained a roughness exponent of zeta = 0.86(3) for strongly disordered systems.
- Observed a crossover to lower roughness exponent values as disorder decreased.
- Found that the exponent in the reduced disorder regime is highly sensitive to disorder levels.
Conclusions:
- The roughness exponent in quasistatic fracture deviates significantly from minimum energy surface exponents (zeta = 2/3).
- Disorder plays a crucial role in determining crack interface roughness.
- A detailed understanding of disorder-dependent roughness is essential for accurate fracture modeling.