Statistical Thermodynamics of Strain Hardening in Polycrystalline Solids
arXiv:1505.06704 · doi:10.1103/PhysRevE.92.032125
Abstract
This paper starts with a systematic rederivation of the statistical thermodynamic equations of motion for dislocation-mediated plasticity proposed in 2010 by Langer, Bouchbinder and Lookman. It then uses that theory to explain the anomalous rate-hardening behavior reported in 1988 by Follansbee and Kocks, and to explore the relation between hardening rate and grain size reported in 1995 by Meyers et al. A central theme is the need for physics-based, nonequilibrium analyses in developing predictive theories of the strength of polycrystalline materials.
8 pages, 4 figures
References in corpus (1)
Cited by in corpus (20)
- 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
- Thermal Effects in Dislocation Theory
- Deformation and dislocation evolution in body-centered-cubic single- and polycrystal tantalum
- Thermodynamic theory of crystal plasticity: formulation and application to polycrystal fcc copper
- Thermodynamic theory of dislocation-enabled plasticity
- Scaling Confirmation of the Thermodynamic Dislocation Theory
- Statistical Thermodynamics of Crystal Plasticity
- Yielding Transitions and Grain-Size Effects in Dislocation Theory
- Thermodynamic dislocation theory: Bauschinger effect
- Thermodynamic dislocation theory: torsion of bars
- Thermodynamic analysis of the Livermore molecular-dynamics simulations of dislocation-mediated plasticity
- Fracture Toughness of Crystalline Solids
- Thermo-visco-plasticity under high strain rates: a micro-inertia driven dynamic flow rule
- Plane constrained shear of single crystals
- Thermodynamic dislocation theory: Size effect in torsion
- Non-uniform plastic deformations of crystals undergoing anti-plane constrained shear
- Two-temperature continuum model for viscoplasticity in metals based on fluctuation relation
- Thermal softening during high-temperature torsional deformation of aluminum bars