Yielding Transitions and Grain-Size Effects in Dislocation Theory

Abstract

The statistical-thermodynamic dislocation theory developed in previous papers is used here in an analysis of yielding transitions and grain-size effects in polycrystalline solids. Calculations are based on the 1995 experimental results of Meyers et al. for polycrystalline copper under strain-hardening conditions. The main assertion is that the well known Hall-Petch effects are caused by enhanced strengths of dislocation sources at the edges of grains instead of the commonly assumed resistance to dislocation flow across grain boundaries. The theory describes rapid transitions between elastic and plastic deformation at yield points; thus it can be used to predict grain-size dependence of both yield stresses and flow stresses

References in corpus (2)

• Statistical Thermodynamics of Strain Hardening in Polycrystalline Solids
• Thermal Effects in Dislocation Theory

Cited by in corpus (7)

• Dynamic recrystallization in adiabatic shear banding: effective-temperature model and comparison to experiments in ultrafine-grained titanium
• Strain localization and dynamic recrystallization in polycrystalline metals: thermodynamic theory and simulation framework
• Thermodynamic dislocation theory of high-temperature deformation in aluminum and steel
• Thermodynamic theory of crystal plasticity: formulation and application to polycrystal fcc copper
• Thermodynamic dislocation theory: Bauschinger effect
• Thermodynamic dislocation theory: torsion of bars
• Statistical Thermodynamics of Dislocations in Solids