05220nam 2200649Ia 450 991013951340332120170815145455.01-282-25389-197866138145480-470-61136-70-470-39397-1(CKB)2550000000005869(EBL)477657(OCoLC)520990448(SSID)ssj0000340650(PQKBManifestationID)11947680(PQKBTitleCode)TC0000340650(PQKBWorkID)10388213(PQKB)11440112(MiAaPQ)EBC477657(EXLCZ)99255000000000586920080619d2008 uy 0engur|n|---|||||txtccrMultiscale modeling of heterogenous materials[electronic resource] from microstructure to macro-scale properties /edited by Oana CazacuLondon ISTE Ltd. ;Hoboken, NJ J. Wiley20081 online resource (361 p.)ISTE ;v.49Description based upon print version of record.1-84821-047-7 Includes bibliographical references and index.Multiscale Modeling of Heterogenous Materials; Table of Contents; Foreword; Chapter 1. Accounting for Plastic Strain Heterogenities in Modeling Polycrystalline Plasticity: Microstructure-based Multi-laminate Approaches; 1.1. Introduction; 1.2. Polycrystal morphology in terms of grain and sub-grain boundaries; 1.2.1. Some evidence of piece-wise regularity for grain boundaries; 1.2.2. Characteristics of plastic-strain due to sub-grain boundaries; 1.3. Sub-boundaries and multi-laminate structure for heterogenous plasticity1.3.1. Effective moduli tensor and Green operator of multi-laminate structures1.3.2. Multi-laminate structures and piece-wise homogenous plasticity; 1.4. Application to polycrystal plasticity within the affine approximation; 1.4.1. Constitutive relations; 1.4.2. Fundamental properties for multi-laminate modeling of plasticity; 1.5. Conclusion; 1.6. Bibliography; Chapter 2. Discrete Dislocation Dynamics: Principles and Recent Applications; 2.1. Discrete Dislocation Dynamics as a link in multiscale modeling; 2.2. Principle of Discrete Dislocation Dynamics2.3. Example of scale transition: from DD to Continuum Mechanics2.3.1. Introduction to a dislocation density model; 2.3.1.1. Constitutive equations of a dislocation based model of crystal plasticity; 2.3.1.2. Parameter identification; 2.3.1.3. Application to copper simulations; 2.3.1.4. Taking into account kinematic hardening; 2.4. Example of DD analysis: simulations of crack initiation in fatigue; 2.4.1. Case of single phase AISI 31GL; 2.5. Conclusions; 2.6. Bibliography; Chapter 3. Multiscale Modeling of Large Strain Phenomena in Polycrystalline Metals3.1. Implementation of polycrystal plasticity in finite element analysis3.2. Kinematics and constitutive framework; 3.3. Forward Euler algorithm; 3.4. Validation of the forward Euler algorithm; 3.5. Time step issues in the forward Euler scheme; 3.6. Comparisons of CPU times: the rate tangent versus the forward Euler methods; 3.7. Conclusions; 3.8. Acknowledgements; 3.9. Bibliography; Chapter 4. Earth Mantle Rheology Inferred from Homogenization Theories; 4.1. Introduction; 4.2. Grain local behavior; 4.3. Full-field reference solutions; 4.4. Mean-field estimates4.4.1. Basic features of mean-field theories4.4.2. Results; 4.5. Concluding observations; 4.6. Bibliography; Chapter 5. Modeling Plastic Anistropy and Strength Differential Effects in Metallic Materials; 5.1. Introduction; 5.2. Isotropic yield criteria; 5.2.1. Pressure insensitive materials deforming by slip; 5.2.2. Pressure insensitive materials deforming by twinning; 5.2.3. Pressure insensitive materials with non-Schmid effects; 5.2.4. Pressure sensitive materials; 5.2.5. SD effect and plastic flow; 5.3. Anisotropic yield criteria with SD effects5.3.1. Cazacu and Barlat [CAZ 04] orthotropic yield criterionA 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.ISTEInhomogeneous materialsMathematical modelsMaterialsElectronic books.Inhomogeneous materialsMathematical models.Materials.620.1/1015118620.11015118Cazacu Oana960604MiAaPQMiAaPQMiAaPQBOOK9910139513403321Multiscale modeling of heterogenous materials2250775UNINA