Book contents
- Computational Design of Engineering Materials
- Computational Design of Engineering Materials
- Copyright page
- Dedication
- Contents
- Foreword
- Preface
- Acknowledgments
- 1Introduction
- 2Fundamentals of Atomistic Simulation Methods
- 3Fundamentals of Mesoscale Simulation Methods
- 4Fundamentals of Crystal Plasticity Finite Element Method
- 5Fundamentals of Computational Thermodynamics and the CALPHAD Method
- 6Fundamentals of Thermophysical Properties
- 7Case Studies on Steel Design
- 8Case Studies on Light Alloy Design
- 9Case Studies on Superalloy Design
- 10Case Studies on Cemented Carbide Design
- 11Case Studies on Hard Coating Design
- 12Case Studies on Energy Materials Design
- 13Summary and Future Development of Materials Design
- Book part
- Index
- Plate Section (PDF Only)
- References
4 - Fundamentals of Crystal Plasticity Finite Element Method
Published online by Cambridge University Press: 29 June 2023
Book contents
- Computational Design of Engineering Materials
- Computational Design of Engineering Materials
- Copyright page
- Dedication
- Contents
- Foreword
- Preface
- Acknowledgments
- 1Introduction
- 2Fundamentals of Atomistic Simulation Methods
- 3Fundamentals of Mesoscale Simulation Methods
- 4Fundamentals of Crystal Plasticity Finite Element Method
- 5Fundamentals of Computational Thermodynamics and the CALPHAD Method
- 6Fundamentals of Thermophysical Properties
- 7Case Studies on Steel Design
- 8Case Studies on Light Alloy Design
- 9Case Studies on Superalloy Design
- 10Case Studies on Cemented Carbide Design
- 11Case Studies on Hard Coating Design
- 12Case Studies on Energy Materials Design
- 13Summary and Future Development of Materials Design
- Book part
- Index
- Plate Section (PDF Only)
- References
Summary
In Chapter 4, firstly a few basic terms (object and configuration, stress, strain, and constitutive relation between stress tensor and strain tensor), three coordinate systems (shape coordinate, lattice coordinate, and laboratory coordinate), deformation gradient as well as fundamental equations in continuum mechanics are briefly recalled for the sake of understanding fundamental equations of the crystal plasticity finite element method (CPFEM). A few advantages of CPFEM (including its abilities to analyze multiparticle problems and solve crystal mechanics problems with complex boundary conditions) are highlighted. Then, representative mechanical constitutive laws of crystal plasticity including dislocation-based constitutive models and constitutive models for displacive transformation are briefly described, followed by a short introduction to the finite element method (FEM), several FEM software packages (including Adina, ABAQUS, Deform, and ANSYS) and a procedure for CPFEM simulation. Finally, a case study of plastic deformation-induced surface roughening in Al polycrystals is demonstrated to show important features of crystal plasticity finite element method in materials design.
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- Computational Design of Engineering MaterialsFundamentals and Case Studies, pp. 95 - 112Publisher: Cambridge University PressPrint publication year: 2023
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