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Anisotropic power law strain correlations in sheared amorphous 2D solids
1Department of Civil and Environmental Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
Physical Review Letters
|August 8, 2009
Summary
Computer simulations reveal that local deformation in sheared glasses shows anisotropic correlations. These findings suggest critical but unusual behavior at the jamming transition, testable in various amorphous materials.
Area of Science:
- Condensed matter physics
- Materials science
- Computational physics
Background:
- Understanding the mechanical response of amorphous solids is crucial for materials science.
- The jamming transition marks the onset of flow in disordered systems.
- Previous studies suggest critical behavior at jamming, but details remain elusive.
Purpose of the Study:
- To investigate the local deformation and spatial correlations in sheared two-dimensional Lennard-Jones glasses.
- To analyze the nature of correlations in the incremental strain field under steady shear.
- To explore the implications for the critical behavior at the jamming transition.
Main Methods:
- Utilizing computer simulations at zero temperature.
- Analyzing the quasistatic limit of deformation.
- Employing power law analysis with angular dependence of scaling exponents.
Main Results:
- Observed highly anisotropic spatial correlations in the incremental strain field.
- Identified power law behavior with strong angular dependence.
- Found strongest correlations along the directions of maximal shear stress.
Conclusions:
- The jamming transition at the onset of flow exhibits critical behavior.
- The critical behavior at jamming is unusual, characterized by anisotropic correlations.
- Experimental verification is possible in various sheared amorphous materials like foams and granular packings.
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