Introduction.- Methods for Generating 3D Image Data for Material Microstructures.- 3D Microstructure Simulation.- Microstructure-Based Domain Partitioning, RVE Definition and RVE Evolution for Intrinsic Property Computations.- Coupling Microstructure Evolution with Microstructure Characterization.- Materials Response Representations & Limitations in Present-day Design Codes.- Local Continuum Approaches to Constitutive Modeling.- Strain Gradient Plasticity; Dislocation Coarse-Graining Challenges; Representing Length-Scale Dependence.- Constitutive Laws for Time Dependent Thermally-Activated Processes.- Conventional Finite Element Methods.- Full-Field or Meshless and Homogenization Methods for Handling the RVE.- Limitations in Homogenization and Uncertainty.- Links to Fracture Mechanics & Probabilistic Methods.- Accelerated Time Scaling Methods for Fatigue Analysis.- Treating Challenges Below the Grain Scale.- Multiscale Methods for Material Modeling.- Representing Environmentally Induced Damage.- Emerging Methods for Matching Simulation and Experimental Scales.- Approaching Design Systems for the Future.
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