Thermal Effects in Dislocation Theory

Abstract

The mechanical behaviors of polycrystalline solids are determined by the interplay between phenomena governed by two different thermodynamic temperatures: the configurational effective temperature that controls the density of dislocations, and the ordinary kinetic-vibrational temperature that controls activated depinning mechanisms and thus deformation rates. This paper contains a review of the effective-temperature theory and its relation to conventional dislocation theories. It includes a simple illustration of how these two thermal effects can combine to produce a predictive theory of spatial heterogeneities such as shear-banding instabilities. Its main message is a plea that conventional dislocation theories be reformulated in a thermodynamically consistent way so that the vast array of observed behaviors can be understood systematically.

8 pages, 5 figures

References in corpus (4)

• Deformation and Failure of Amorphous Solidlike Materials
• Strain localization in a shear transformation zone model for amorphous solids
• Nonequilibrium Thermodynamics of Amorphous Materials I: Internal Degrees of Freedom and Volume Deformation
• Statistical Thermodynamics of Strain Hardening in Polycrystalline Solids

Cited by in corpus (16)

• 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 theory of dislocation-enabled plasticity
• Thermodynamic theory of dislocation/grain boundary interaction
• Scaling Confirmation of the Thermodynamic Dislocation Theory
• Yielding Transitions and Grain-Size Effects in Dislocation Theory
• Thermodynamic dislocation theory: Bauschinger effect
• Analysis of shear localization in viscoplastic solids with pressure-sensitive structural transformations
• Statistical Thermodynamics of Dislocations in Solids
• Thermodynamic dislocation theory: torsion of bars
• Thermodynamic analysis of the Livermore molecular-dynamics simulations of dislocation-mediated plasticity
• Fracture Toughness of Crystalline Solids
• Thermal softening during high-temperature torsional deformation of aluminum bars
• Thermodynamic dislocation theory: Size effect in torsion