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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
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Different universality classes at the yielding transition of amorphous systems
1Comisión Nacional de Energía Atómica, Instituto Balseiro (UNCu), and CONICET Centro Atómico Bariloche, (8400) Bariloche, Argentina.
Physical Review. E
|September 28, 2017
Summary
This study investigates how 2D amorphous systems yield under shear. The yielding transition depends on the material's plastic disorder, influencing critical behavior and flow curves.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Amorphous materials exhibit complex yielding behavior under applied stress.
- Understanding the relationship between microscopic structure and macroscopic plastic flow is crucial.
- Mesoscopic models are valuable for bridging atomic-scale interactions and bulk properties.
Purpose of the Study:
- To investigate the yielding transition of two-dimensional amorphous systems under shear.
- To explore the influence of local heterogeneities and plastic disorder on critical behavior.
- To analyze the flow curve and the exponent governing the yielding transition.
Main Methods:
- Utilized a mesoscopic elasto-plastic model with a full tensorial description of elastic interactions.
- Incorporated structural reaccommodations via a position-dependent 'plastic disorder' potential.
- Derived a simplified scalar model of interacting Prandtl-Tomlinson particles and employed mean-field theory.
Main Results:
- Identified a critical stress (σ_c) required for yielding.
- Observed a power-law relationship for the flow curve: γ̇ ∼ (σ - σ_c)^β.
- Demonstrated that the exponent β depends on the nature of the plastic disorder potential (smooth vs. concatenated).
- Mean-field analysis of the simplified model reproduced the observed β exponent differences.
Conclusions:
- The yielding transition in 2D amorphous systems is sensitive to the details of plastic disorder.
- Critical behavior, specifically the yielding exponent β, is influenced by local structural heterogeneities.
- The mesoscopic model and its simplified scalar version provide a framework for understanding elasto-plasticity in disordered materials.
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