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Athermal shear-transformation-zone theory of amorphous plastic deformation. I. Basic principles
Eran Bouchbinder1, J S Langer, Itamar Procaccia
1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
Summary
We present an athermal shear-transformation-zone (STZ) theory for amorphous plasticity. This simplified model offers broader applicability and clearer interpretation of material yielding without thermal fluctuations.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Rheology
Background:
- Amorphous plasticity is governed by irreversible molecular rearrangements.
- Existing theories often rely on thermal activation, complicating thermodynamic consistency.
- Shear-transformation-zone (STZ) theory models these rearrangements.
Purpose of the Study:
- To develop a simplified, athermal version of STZ theory for amorphous plasticity.
- To provide a clearer interpretation of yielding phenomena.
- To establish a framework applicable where thermal effects are negligible.
Main Methods:
- Formulation of an athermal shear-transformation-zone (STZ) theory.
- Incorporation of an explicit distribution of STZ transition thresholds.
- Analysis of yielding as a transition between jammed and flowing states.
Main Results:
- The athermal STZ theory demonstrates broader applicability and simplicity compared to thermal models.
- Thermodynamic consistency is achieved without special considerations.
- Yielding is interpreted as a clear exchange of dynamic stability between states.
Conclusions:
- The developed athermal STZ theory provides a robust framework for understanding amorphous plasticity.
- The theory simplifies analysis and enhances clarity in interpreting material behavior.
- An effective temperature concept remains crucial for relating STZ density to system disorder.
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