Crystal Plasticity Finite Element Methods: in Materials Science and Engineering / Edition 1

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Overview

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 udner 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.

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Editorial Reviews

From the Publisher
"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 loads". (Small Business VoIP, 29 November 2010)
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Product Details

  • ISBN-13: 9783527324477
  • Publisher: Wiley
  • Publication date: 12/14/2010
  • Edition number: 1
  • Pages: 208
  • Sales rank: 1,310,352
  • Product dimensions: 6.90 (w) x 9.70 (h) x 0.60 (d)

Meet the Author

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

Philip Eisenlohr is project leader of the JointMax-Planck-Fraunhofer Initiative on Computational Mechanics ofPolycrystals (CMCn) at the Max Planck Institute for Iron Research.He earned his PhD at the University of Erlangen-N├╝rnbergelucidating the role of dislocation dipoles in the deformation ofcrystals. For his outstanding diploma degree he received the 2001Young Scientist Award of the DGM.

Thomas R. Bieler is Professor of Materials Science in the Collegeof Engineering at Michigan State University, USA. He received hisPhD in Materials Science in 1989 from the University of California,Davis, before he became Assistant Professor at Michigan StateUniversity. He has taken sabbaticals at the Air Force Research Laboratory (DaytonOH) in the Materials and Manufacturing Directorate in 1999, and atthe Max Planck Institute for Iron Research in 2006, where he hasfocused on deformation characteristics of titanium and titaniumalloys.

Dierk Raabe is Chief Executive of the Max Planck Institute for IronResearch and Professor at RWTH Aachen University. After his PhD inMetal Physics and Physical Metallurgy at RWTH Aachen he wasvisiting scientist in the Department of Materials Science andEngineering 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 withnumerous awards, including the highest German science award, namelythe Gottfried Wilhelm Leibniz Award, and the Lee Hsun Lecture Awardof the Chinese Academy of Sciences.

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Table of Contents

Preface
INTRODUCTION TO CRYSTALLINE ANISOTROPY AND THE CRYSTAL PLASTICITYFINITE ELEMENT METHOD

PART I: Fundamentals

METALLURGICAL FUNDAMENTALS OF PLASTIC DEFORMATION
Introduction
Lattice Dislocations
Deformation Martensite and Mechanical Twinning
CONTINUUM MECHANICS
Kinematics
Mechanical Equilibrium
Thermodynamics
THE FINITE ELEMENT METHOD
The Principle of Virtual Work
Solution Procedure -
Discretization
Non-Linear FEM
THE CRYSTAL PLASTICITY FINITE ELEMENT METHOD AS A MULTI-PHYSICSFRAMEWORK

PART II: The Crystal Plasticity Finite Element Method

CONSTITUTIVE MODELS
Dislocation Slip
Displacive Transformations
Damage
HOMOGENIZATION
Introduction
Statistical Representation of Crystallographic Texture
Computational Homogenization
Mean-Field Homogenization
Grain-Cluster Methods
NUMERICAL ASPECTS OF CRYSTAL PLASTICITY FINITE ELEMENT METHODIMPLEMENTATIONS
General Remarks
Explicit Versus Implicit Integration Methods
Element Types

PART III: Application

MICROSCOPIC AND MESOSCOPIC EXAMPLES
Introduction to the Field of CPFE Experimental Validation
Stability and Grain Fragmentation in Aluminum under Plane StrainDeformation
Texture and Dislocation Density Evolution in a BentSingle-Crystalline Copper-Nanowire
Texture and Microstructure underneath a Nanoindent in a CopperSingle Crystal
Application of a Nonlocal Dislocation Model Including GeometricallyNecessary Dislocations to Simple Shear Tests of Aluminum SingleCrystals
Application of a Grain Boundary Constitutive Model to Simple ShearTests of Aluminum Bicrystals with Different Misorientation
Evolution of Dislocation Density in a Crystal PlasticityModel
Three-Dimensional Aspects of Oligocrystal Plasticity
Simulation of Recrystallization Using Micromechanical Results ofCPFE Simulations
Simulations of Multiphase TRIP Steels
Damage Nucleation Example
The Grain Size-Dependence in Polycrystal Models
MACROSCOPIC EXAMPLES
Using Elastic Constants from Ab Initio Simulations for PredictingTextures and Texture-Dependent Elastic Properties ofBeta-Titanium
Simulation of Earing during Cup Drawing of Steel and Aluminum
Simulation of Lankford Values
Virtual Material Testing for Sheet Stamping Simulations
OUTLOOK AND CONCLUSIONS

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