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Informationen zum Autor Oana Cazacu is Professor in the Department of Mechanical and Aerospace Engineering at the University of Florida, REEF, Shalimar, USA. Klappentext A material's various proprieties is based on its microscopic and nanoscale structures. This book provides an overview of recent advances in computational methods for linking phenomena in systems that span large ranges of time and spatial scales. Particular attention is given to predicting macroscopic properties based on subscale behaviors. Given the book's extensive coverage of multi-scale methods for modeling both metallic and geologic materials, it will be an invaluable reading for graduate students, scientists, and practitioners alike. Zusammenfassung A material's various proprieties is based on its microscopic and nanoscale structures. This book provides an overview of recent advances in computational methods for linking phenomena in systems that span large ranges of time and spatial scales. Inhaltsverzeichnis Foreword xiii Chapter 1. Accounting for Plastic Strain Heterogenities in Modeling Polycrystalline Plasticity: Microstructure-based Multi-laminate Approaches 1 Patrick FRANCIOSI 1.1. Introduction 1 1.2. Polycrystal morphology in terms of grain and sub-grain boundaries 2 1.2.1. Some evidence of piece-wise regularity for grain boundaries 2 1.2.2. Characteristics of plastic-strain due to sub-grain boundaries 3 1.3. Sub-boundaries and multi-laminate structure for heterogenous plasticity 5 1.3.1. Effective moduli tensor and Green operator of multi-laminate structures 6 1.3.2. Multi-laminate structures and piece-wise homogenous plasticity 10 1.4. Application to polycrystal plasticity within the affine approximation 10 1.4.1. Constitutive relations 10 1.4.2. Fundamental properties for multi-laminate modeling of plasticity 14 1.5. Conclusion 15 1.6. Bibliography 15 Chapter 2. Discrete Dislocation Dynamics: Principles and Recent Applications 17 Marc FIVEL 2.1. Discrete Dislocation Dynamics as a link in multiscale modeling 17 2.2. Principle of Discrete Dislocation Dynamics 19 2.3. Example of scale transition: from DD to Continuum Mechanics 21 2.3.1. Introduction to a dislocation density model 21 2.3.1.1. Constitutive equations of a dislocation based model of crystal plasticity 22 2.3.1.2. Parameter identification 24 2.3.1.3. Application to copper simulations 25 2.3.1.4. Taking into account kinematic hardening 26 2.4. Example of DD analysis: simulations of crack initiation in fatigue 29 2.4.1. Case of single phase AISI 31GL 29 2.5. Conclusions 32 2.6. Bibliography 33 Chapter 3. Multiscale Modeling of Large Strain Phenomenain Polycrystalline Metals 37 Kaan INAL and Raj. K. MISHRA 3.1. Implementation of polycrystal plasticity in finite element analysis 39 3.2. Kinematics and constitutive framework 41 3.3. Forward Euler algorithm 44 3.4. Validation of the forward Euler algorithm 46 3.5. Time step issues in the forward Euler scheme 49 3.6. Comparisons of CPU times: the rate tangent versus the forward Euler methods 51 3.7. Conclusions 52 3.8. Acknowledgements 52 3.9. Bibliography 52 Chapter 4. Earth Mantle Rheology Inferred from Homogenization Theories 55 Olivier CASTELNAU, Ricardo LEBENSOHN, Pedro Ponte CASTAÑEDA and Donna BLACKMAN 4.1. Introduction 55 4.2. Grain local behavior 57 4.3. Full-field reference solutions 59 4.4. Mean-field estimates 62 4.4.1. Basic features of mean-field theories 62 4.4.2. Results 64 4.5. Concluding observations 66 4.6. Bibliography 68 Chapter 5. Modeling Plastic A...
