Crystal Plasticity Finite Element Methods in Materials Science and Engineering

by Roters, Franz; Eisenlohr, Philip; Bieler, Thomas R.; Raabe, Dierk

• ISBN13: 9783527324477
• ISBN10: 352732447X
• Edition: 1st
• Format: Hardcover
• Copyright: 2010-11-22
• Publisher: Wiley-VCH

Summary

Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems under mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

Author Biography

Franz Roters heads the research group "Theory and Simulation" at the Max Planck Institute for Iron Research in D?sseldorf, Germany. After he completed his PhD in physics at the RWTH Aachen University, Germany, he worked for the VAW Aluminium AG in Bonn. Franz Roters serves as head of the technical committee for computer simulation of the German Society for Materials Research (DGM) and as a lecturer at the RWTH.

Philip Eisenlohr is project leader of the Joint Max-Planck-Fraunhofer Initiative on Computational Mechanics of Polycrystals (CMCn) at the Max Planck Institute for Iron Research. He earned his PhD at the University of Erlangen-N?rnberg elucidating the role of dislocation dipoles in the deformation of crystals. For his outstanding diploma degree he received the 2001 Young Scientist Award of the DGM.

Thomas R. Bieler is Professor of Materials Science in the College of Engineering at Michigan State University, USA. He received his PhD in Materials Science in 1989 from the University of California, Davis, before he became Assistant Professor at Michigan State University. He
has taken sabbaticals at the Air Force Research Laboratory (Dayton OH) in the Materials and Manufacturing Directorate in 1999, and at the Max Planck Institute for Iron Research in 2006, where he has focused on deformation characteristics of titanium and titanium alloys.

Dierk Raabe is Chief Executive of the Max Planck Institute for Iron Research and Professor at RWTH Aachen University. After his PhD in Metal Physics and Physical Metallurgy at RWTH Aachen he was visiting scientist in the Department of Materials Science and Engineering at the Carnegie Mellon University in Pittsburgh, USA, and at the National High Magnetic Field Laboratory in Tallahassee, USA. For his outstanding accomplishments he was honored with numerous awards, including the highest German science award, namely the Gottfried Wilhelm Leibniz Award, and the Lee Hsun Lecture Award of the Chinese Academy of Sciences.

Table of Contents

Introduction

Basic Assumptions on the Continuum Theory of Continuous Distributions of Lattice Defects

Crystalline Anisotropy and the Spirit of the Crystal Plasticity Finite Element Method

The Crystal Plasticity Finite Element Method as a Multi-Mechanism and Multi-Physics Platform

Concise Historical Overview

Flow Kinematics

Constitutive Models

Introduction

Phenomenological Constitutive Models

Physics-based Internal Variable Constitutive Models

Displacive Phase Transformations in CPFE Modeling

Introduction

Martensite Formation and Transformation-Induced Plasticity in CPFE Models

Mechanical Twinning in CPFE Models

Homogenization Methods in CPFE Analysis

Introduction

Statistical Representation of Crystallographic Texture

Computational Homogenization

Mean-field Homogenization

Grain-Cluster Methods

Crystal Plasticity FE Approaches to Local Damage Analysis

Continuum Approaches to Modeling Damage

Microstructurally Induced Damage

Assessment of Current Knowledge about Damage Nucleation

Numerical Aspects Associated with the CPFE Method

General Remarks

Integration Methods

Explicit versus Implicit

Element Types

Experimental Validation and Application

Introduction

Microscopic and Mesoscopic Examples

Macroscopic Examples

Challenges

Conclusions

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