Multiscale Discrete Dislocation Dynamics Plasticity

Abstract

This chapter contains sections titled: * Introduction * Theoretical Fundamentals of the Method Kinematics and Geometric AspectsKinetics and Interaction ForcesDislocation Equation of MotionThe Dislocation Stress and Force FieldsThe Stochastic Force and Cross-slipModifications for Long-Range Interactions: The Super-Dislocation PrincipleEvaluation of Plastic StrainsThe DD Numerical Solution: An Implicit-Explicit Integration Scheme * Integration of DD and Continuum Plasticity Continuum Elasto-ViscoplasticityModifications for Finite Domains * Typical Fields of Applications and Examples Evolution of Dislocation Structure during Monotonic LoadingDislocation Crack Interaction: Heterogeneous DeformationDislocations Interaction with Shock Waves * Summary and Concluding Remarks * References