Crystal Plasticity Finite Element Methods

PrefaceINTRODUCTION TO CRYSTALLINE ANISOTROPY AND THE CRYSTAL PLASTICITY FINITE ELEMENT METHODPART I: FundamentalsMETALLURGICAL FUNDAMENTALS OF PLASTIC DEFORMATIONIntroductionLattice DislocationsDeformation Martensite and Mechanical TwinningCONTINUUM MECHANICSKinematicsMechanical EquilibriumThermodynamicsTHE FINITE ELEMENT METHODThe Principle of Virtual WorkSolution Procedure - DiscretizationNon-Linear FEMTHE CRYSTAL PLASTICITY FINITE ELEMENT METHOD AS A MULTI-PHYSICS FRAMEWORKPART II: The Crystal Plasticity Finite Element MethodCONSTITUTIVE MODELSDislocation SlipDisplacive TransformationsDamageHOMOGENIZATIONIntroductionStatistical Representation of Crystallographic TextureComputational HomogenizationMean-Field HomogenizationGrain-Cluster MethodsNUMERICAL ASPECTS OF CRYSTAL PLASTICITY FINITE ELEMENT METHOD IMPLEMENTATIONSGeneral RemarksExplicit Versus Implicit Integration MethodsElement TypesPART III: ApplicationMICROSCOPIC AND MESOSCOPIC EXAMPLESIntroduction to the Field of CPFE Experimental ValidationStability and Grain Fragmentation in Aluminum under Plane Strain DeformationTexture and Dislocation Density Evolution in a Bent Single-Crystalline Copper-NanowireTexture and Microstructure underneath a Nanoindent in a Copper Single CrystalApplication of a Nonlocal Dislocation Model Including Geometrically Necessary Dislocations to Simple Shear Tests of Aluminum Single CrystalsApplication of a Grain Boundary Constitutive Model to Simple Shear Tests of Aluminum Bicrystals with Different MisorientationEvolution of Dislocation Density in a Crystal Plasticity ModelThree-Dimensional Aspects of Oligocrystal PlasticitySimulation of Recrystallization Using Micromechanical Results of CPFE SimulationsSimulations of Multiphase TRIP SteelsDamage Nucleation ExampleThe Grain Size-Dependence in Polycrystal ModelsMACROSCOPIC EXAMPLESUsing Elastic Constants from Ab Initio Simulations for Predicting Textures and Texture-Dependent Elastic Properties of Beta-TitaniumSimulation of Earing

Franz Roters heads the research group "Theory and Simulation" at the Max Planck Institute for Iron Research in Düsseldorf, Germany. After he had obtained his PhD in physics from 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 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 did his PhD at the University of Erlangen-Nürnberg elucidating the role of dislocation dipoles for the deformation of crystals. For his outstanding diploma degree he received the 2001 Young Scientist Award of the DGM.

Thomas R. Bieler is Professor at the College of Engineering of Michigan State University, USA. He received his PhD in Materials Science in 1989 from the University of California, Davis, and then went to Michigan State University, complemented by a sojourn in the Air Force Research Laboratory under the Materials and Manufacturing Directorate.

Dierk Raabe is Vice-Chief Executive of the Max Planck Institute for Iron Research and Professor at RWTH Aachen University. After his PhD he was visiting scientist in the Department of Materials Science and Engineering at the Carnegie Mellon University in Pittsburgh, USA. For his outstanding accomplishments he was honoured with numerous awards, including the Adolf Martens Award of the German Federal Institute for Materials Research and Testing and the Lee Hsun Lecture Award of the Chinese Academy of Sciences.

"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)

"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)