Dislocation Mechanism-Based Crystal Plasticity
Theory and Computation at the Micron and Submicron Scale
- 1st Edition - April 12, 2019
- Latest edition
- Authors: Zhuo Zhuang, Zhanli Liu, Yinan Cui
- Language: English
Dislocation Based Crystal Plasticity: Theory and Computation at Micron and Submicron Scale provides a comprehensive introduction to the continuum and discreteness dislocati… Read more
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.
- Covers dislocation mechanism-based crystal plasticity theory and computation at the micron and submicron scale
- Presents crystal plasticity theory without size effect
- Deals with the 3D discrete-continuous (3D DCM) theoretic and computational model of crystal plasticity with 3D discrete dislocation dynamics (3D DDD) coupling finite element method (FEM)
- Includes discrete dislocation mechanism-based theory and computation at the submicron scale with single arm source, coating micropillar, lower cyclic loading pillars, and dislocation starvation at the submicron scale
Materials scientists, engineers, computational mechanics specialists, material physicists, aerospace engineers
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
- Edition: 1
- Latest edition
- Published: April 12, 2019
- Language: English
ZZ
Zhuo Zhuang
Zhuo Zhuang is Professor and Co-director of the Advanced Mechanics and Materials Center in the School of Aerospace Engineering, at Tsinghua University in China. He has published over 260 papers in leading scientific journals. He is General Council member for IACM, and APACM, and President of the Chinese Association of Computation Mechanics (CACM), Vice-director of the Supervision Committee on Mechanics at the Ministry of Education, and serves as an editor on both national and international journals. He received his PhD from University College Dublin in Ireland, and an Honorary Doctorate Degree (EngD) from Swansea University in the UK.
Affiliations and expertise
Department of Engineering Mechanics, Tsinghua University, Beijing, ChinaZL
Zhanli Liu
Zhanli Liu is Associate Professor in the School of Aerospace Engineering at Tsinghua University in China. He has published over 60 papers, mostly relating to computational multi-scale mechanics, plasticity, damage and fracture mechanics. He received his PhD from Tsinghua University, and was a winner of the prestigious China Thousand Young Talents Program.
Affiliations and expertise
Department of Engineering Mechanics, Tsinghua University, Beijing, ChinaYC
Yinan Cui
Postdoctoral researcher at the University of California Los Angeles. Her research interests include computational mechanics of materials, mechanics and physics of material defects, discrete and continuum dislocation-based plasticity, and materials behaviour in extreme environments. She has published widely in leading journals. Yinan Cui received her PhD from Tsinghua University in China.
Affiliations and expertise
Postdoctoral Researcher, University of California, Los Angeles, USARead Dislocation Mechanism-Based Crystal Plasticity on ScienceDirect