Dislocation phenomena described with free volume concept and Eyring's rate process theory.

Area of Science:

• Solid-state physics
• Materials science
• Mechanics of materials

Background:

• Dislocation phenomena are crucial for understanding material deformation.
• Existing theories often lack a unified approach across different materials.

Purpose of the Study:

• To develop a generic and unified theoretical description of dislocation phenomena in solids under shear stress.
• To compare the new model with existing theories and empirical equations.
• To validate the theoretical framework against experimental data.

Main Methods:

• Application of the free volume concept.
• Utilization of Eyring's rate process theory.
• Comparison with Hall-Petch and inverse Hall-Petch equations.
• Fitting experimental data on mechanical properties and dislocation density.

Main Results:

• Derived generic equations applicable to various materials without restrictions.
• Demonstrated good agreement between theoretical predictions and experimental data for mechanical properties and dislocation density.
• Showcased the model's ability to fit data across different grain sizes.

Conclusions:

• The developed theoretical framework provides a sound foundation for understanding dislocation phenomena.
• The findings offer a unified explanation for common dislocation behaviors in diverse materials.
• This work has the potential to resolve inconsistencies in the existing literature on material deformation.