
The Investigation of Plastic Behavior by Discrete Dislocation Dynamics for Single Crystal Pillar at Submicron Scale
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Content
- Intro
- Supervisor's Foreword
- Abstract
- Parts of this thesis have been published in the following articles:Cui YN, Liu ZL, Zhuang Z. Theoretical and numerical investigations on confined plasticity in micropillars. Journal of the Mechanics and Physics of Solids, 2015, 76, 127-143 (Reproduced with Permission).Cui YN, Liu ZL, Wang ZJ, Zhuang Z. Mechanical annealing under low amplitude cyclic loading in micropillars. Journal of the Mechanics and Physics of Solids, 2016, 89, 1-15 (Reproduced with Permission).Cui YN, Lin P, Liu ZL, Zhuang Z
- Acknowledgments
- Contents
- 1 Introduction
- 1.1 Background and Significance
- 1.1.1 Size Effect of Yield Stress
- 1.1.2 Strain Burst and Dislocation Avalanches
- 1.1.3 Size Effect of Cyclic Behavior
- 1.2 Research Methods
- 1.2.1 Non-local Crystal Plasticity
- 1.2.2 Discrete Dislocation Dynamics Simulation Method
- 1.3 Research Content
- References
- 2 Discrete-Continuous Model of Crystal Plasticity
- 2.1 Introduction of Simulation Method
- 2.1.1 Discrete Dislocation Dynamics (DDD)
- 2.1.1.1 Dislocation Kinetic Equation
- 2.1.1.2 Dislocation Reaction and Topology Update
- 2.1.1.3 Dislocation Cross Slip
- 2.1.2 Coupling DDD with Finite Element Method
- 2.1.2.1 Superposition Method (SPM)
- 2.1.2.2 Discrete-Continuous Model (DCM)
- 2.2 Improved Discrete-Continuous Model
- 2.2.1 Efficient Regularization Method
- 2.2.1.1 Review of Different Regularization Methods
- 2.2.1.2 Novel Regularization Method
- 2.2.1.3 Stress Field Calculation of Prismatic Loop
- 2.2.2 Image Force Calculation
- 2.2.2.1 Stress Interpolation
- 2.2.2.2 Hybrid DCM Method
- 2.2.3 Finite Deformation
- 2.2.3.1 Deformation Field Transfer and Surface Dislocation Treatment
- 2.2.3.2 Slip System Rotation
- 2.2.3.3 Reproduction of Slip Step
- 2.2.4 Application in Heteroepitaxial Film
- 2.2.4.1 Thermoelastic Calculation to Determine Internal Stress Field
- 2.2.4.2 Influence of Substrate Thickness on Dislocation Behavior
- 2.3 Summary
- References
- 3 Single Arm Dislocation Source Controlled Plastic Flow in FCC Micropillars
- 3.1 Simulation Setup
- 3.2 Simulation Results
- 3.2.1 SAS Controlled Strain Burst
- 3.2.2 The Absence of Strain Hardening
- 3.2.3 SAS Controlled Dislocation Density Evolution
- 3.3 Theoretical Analysis
- 3.3.1 Dislocation Density Evolution Model
- 3.3.2 Predicting the Flow Stress
- 3.4 Implications for Strain Hardening at Small Scales
- 3.5 Summary
- References
- 4 Confined Plasticity in Micropillars
- 4.1 Simulation Setup
- 4.2 Results and Discussion
- 4.2.1 Stress-Strain Curves in Coated and Uncoated Pillars
- 4.2.2 Dislocation Source Mechanism in Coated Micropillar
- 4.2.3 Back Stress in Coated Micropillar
- 4.2.4 The Evolution of Mobile and Trapped Dislocation
- 4.3 Implications on Crystal Plasticity Model
- 4.4 Theoretical Model to Predict Stress-Strain Curve
- 4.4.1 Description of the Theoretical Mode
- 4.4.2 Prediction of Stress-Strain Curve
- 4.5 Preliminary Analysis of Coating Failure Mechanism
- 4.5.1 High Hoop Stress of the Coated Layer
- 4.5.2 Transmission Effect of Dislocations Across Coating
- 4.6 Summary
- References
- 5 Mechanical Annealing Under Low Amplitude Cyclic Loading in Micropillars
- 5.1 Simulation Setup
- 5.2 Simulation Results and Discussions
- 5.2.1 Cyclic Behavior of Collective Dislocations
- 5.2.2 Cyclic Instability of Dislocation Junction
- 5.2.2.1 Glissile Dislocation Junction
- 5.2.2.2 Sessile Dislocation Junction
- 5.3 Theoretical Model
- 5.3.1 Cyclic Enhanced Dislocation Annihilation Mechanism
- 5.3.2 Dislocation Density Influenced by Cyclic Slip Irreversibility
- 5.3.3 Critical Size for Mechanical Annealing
- 5.4 Summary
- References
- 6 Conclusions and Outlook
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