Dislocation Mechanism-Based Crystal Plasticity

1 Introduction 1.1 Crystal plasticity at micro-submicro-scale1.2 Experiment phenomenon (Fleck,1994, Uchic 2004, Nix 2009, Shen 2008)1.3 Research status and development1.4 Organization of this book2 Conventional constitutive theory of plasticity 2.1 Introduction2.2 One-dimension plasticity 2.3 Multi-axial plasticity2.4 J2 plastic flow theory2.5 Mohr-Coulomb constitutive model2.6 Gurson model of porous elastic-plastic solids 2.7 Corotational stress formulation2.8 Summary3 Crystal plasticity theory 3.1 Introduction3.2 Cubic and non-cubic crystals3.3 Atomic origins of Burgers vector in single crystal 3.4 Slip planes and directions in single crystal3.5 Kinematics of single crystal plasticity3.6 Dislocation density evolution3.7 Stress for dislocation motion 3.8 Stress update in rate-dependent single-crystal plasticity3.9 Algorithm for rate-dependent dislocation-density based crystal plasticity3.10 Numerical example: application for Nickel-base super-alloys 4 Strain gradient crystal plasticity theory at micron-scale 4.1 Introduction4.2 CS Strain gradient plasticity theory: Couple stress theory4.3 SG Strain gradient plasticity theory: elongation and rotation gradient theory4.4 MSG strain gradient plasticity theory5 Dislocation based crystal plasticity theory and size effect 5.1 Dislocation-based crystal plasticity model5.2 Size and Bauschinger effect in passivated thin films5.3 Strain burst and size effect in compression micropillars5.4 Size-dependent deformation morphology of micropillars6 Micro-scale crystal plasticity model based on phase field theory 6.1 Crystal plasticity model based on thermodynamically consistent phase-field theory for modeling dislocations in heterogeneous6.2 Phase field description of crystal slip6.3 Simulation results and discussions 7 Discrete-continuum model of crystal plasticity at submicron scale 7.1 Discrete dislocation dynamics (DDD)7.2 Three-dimension coupling DDD with finite element method7.3 Improved discrete-continuous model7.4 Application in heteroepitaxial film8 Single arm dislocation source controlled plasticity flow in FCC micropillars 8.1 Single arm dislocation controlled strain burst8.2 Simulation results8.3 Theoretical analysis8.4 Implications for strain hardening at small scales9 Confined plasticity in micropillars 9.1 Stress-strain curves in coated and uncoated pillars9.2 Dislocation source mechanism and back stress in coated pillar9.3 Implications on crystal plasticity model9.4 Theoretical model to predict stress-strain curve9.5 Preliminary analysis of coating failure mechanism10 Mechanical annealing under low amplitude cyclic loading in micropillars 10.1 Simulation setup for cyclic loading in pillars10.2 Cyclic behaviour of collective dislocations10.3 Cyclic instability of dislocation junction10.4 Cyclic enhanced dislocation annihilation mechanism10.5 Dislocation density influenced by cyclic slip irreversibility10.6 Critical size for mechanical annealing11 Strain rate effect on the deformation of crystal at submicron scale11.1 Dislocation evolution at high strain rate in compression micropillars11.2 Theoretical model and experiment for compression collapse of golden particles at submicron scale11.3 Shock-induced plasticity at submicron scale by a discrete dislocation model12 Temperature effect for dislocation annihilation mechanism 12.1 Coupling model of DDD-FEM for dislocation climb 12.2 Pipe-diffusion-based dislocation climb model by discrete dislocation dynamics12.3 Simulation of helical dislocations based on coupled glide-climb model12.4 Creep and annealing behaviour of crystal plasticity at submicron scaleAppendixReferencesIndex