Dislocation Based Crystal Plasticity: Theory and Computation at Micron and Submicron Scale provides a comprehensive introduction to the continuum and discreteness dislocation mechanism-based theories and computational methods of crystal plasticity at the micron and submicron scale. Sections cover the fundamental concept of conventional crystal plasticity theory at the macro-scale without size effect, strain gradient crystal plasticity theory based on Taylar law dislocation, mechanism at the mesoscale, phase-field theory of crystal plasticity, computation at the submicron scale, including single crystal plasticity theory, and the discrete-continuous model of crystal plasticity with three-dimensional discrete dislocation dynamics coupling finite element method (DDD-FEM).
Three kinds of plastic deformation mechanisms for submicron pillars are systematically presented. Further sections discuss dislocation nucleation and starvation at high strain rate and temperature effect for dislocation annihilation mechanism.
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Table of Contents1. Introduction
2. Conventional constitutive theory of plasticity
3. Crystal plasticity theory
4. Strain gradient crystal plasticity theory at micron-scale
5. Dislocation based crystal plasticity theory and size effect
6. Size-dependent deformation morphology of micropillars
7. Micro-scale crystal plasticity model based on phase field theory
8. Discrete-continuum model of crystal plasticity at submicron scale
9. Single arm dislocation source controlled plasticity flow in FCC micropillars
10. Confined plasticity in micropillars
11. Mechanical annealing under low amplitude cyclic loading in micropillars
12. Strain rate effect on the deformation of crystal at submicron scale
13. Temperature effect for dislocation annihilation mechanism