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Hydrodynamic descriptions for surface roughness in fracture front propagation
Abhik Basu1, Bikas K Chakrabarti2,3
1Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Kolkata 700064, India abhik.basu@saha.ac.in abhik.123@gmail.com.
Summary
Fracture surfaces in crystalline materials exhibit self-similar, multifractal behavior. This study uses hydrodynamic models to reveal similarities between fracture profiles and turbulent flow velocities.
Area of Science:
- Materials Science
- Statistical Physics
- Fluid Dynamics
Background:
- Fracture is a common phenomenon in crystalline materials.
- Observed similarities exist between fracture surface profiles and hydrodynamic turbulence.
- Understanding fracture dynamics is crucial for material science and engineering.
Purpose of the Study:
- To develop a hydrodynamic description for mode I fracture propagation.
- To investigate the phenomenological similarities between fracture surfaces and turbulent velocities.
- To determine the statistical properties of fracture surfaces.
Main Methods:
- Employing continuum hydrodynamic models.
- Analyzing the spatial profile of fracture surfaces.
- Comparing fracture dynamics with hydrodynamic turbulence models.
Main Results:
- Fracture surface profiles show strong analogies with velocity fields in hydrodynamic turbulence.
- The dynamics of fracture propagation can be described hydrodynamically.
- Fractured surfaces are generically self-similar.
Conclusions:
- Fracture surfaces exhibit underlying multifractal behavior.
- Hydrodynamic descriptions provide a novel framework for understanding fracture.
- This research connects statistical physics of fracture with fluid dynamics principles.
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