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4 - Fundamentals of Crystal Plasticity Finite Element Method

Published online by Cambridge University Press:  29 June 2023

Yong Du ,
Rainer Schmid-Fetzer ,
Jincheng Wang ,
Shuhong Liu ,
Jianchuan Wang  and
Zhanpeng Jin
Yong Du
Affiliation:
Central South University, China
Rainer Schmid-Fetzer
Affiliation:
Clausthal University of Technology, Germany
Jincheng Wang
Affiliation:
Northwestern Polytechnical University, China
Shuhong Liu
Affiliation:
Central South University, China
Jianchuan Wang
Affiliation:
Central South University, China
Zhanpeng Jin
Affiliation:
Central South University, China
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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.

Keywords

Continuum mechanicselastic deformationelasticity-plasticitycrystal plasticityfinite element methodconstitutive model for displacive transformationdislocation-based constitutive model
Type
Chapter
Information
Computational Design of Engineering Materials
Fundamentals and Case Studies
 , pp. 95 - 112
Publisher: Cambridge University Press
Print publication year: 2023

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