Crystal Plasticity Finite Element Methods

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 Properties of Beta-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