Crystal Plasticity Finite Element Methods (PDF)

Preface INTRODUCTION TO CRYSTALLINE ANISOTROPY AND THE CRYSTAL PLASTICITY FINITE 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-PHYSICS FRAMEWORK 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 METHOD IMPLEMENTATIONS 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 Strain Deformation Texture and Dislocation Density Evolution in a Bent Single-Crystalline Copper-Nanowire Texture and Microstructure underneath a Nanoindent in a Copper Single Crystal Application of a Nonlocal Dislocation Model Including Geometrically Necessary Dislocations to Simple Shear Tests of Aluminum Single Crystals Application of a Grain Boundary Constitutive Model to Simple Shear Tests of Aluminum Bicrystals with Different Misorientation Evolution of Dislocation Density in a Crystal Plasticity Model Three-Dimensional Aspects of Oligocrystal Plasticity Simulation of Recrystallization Using Micromechanical Results of CPFE 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 Predicting Textures and Texture-Dependent Elastic

Franz Roters heads the research group "Theory and Simulation" at the Max Planck Institute for Iron Research in Düsseldorf, 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-Nürnberg 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.

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