Multiscale modeling of heterogenous materials [[electronic resource] ] : from microstructure to macro-scale properties / / edited by Oana Cazacu |
Pubbl/distr/stampa | London, : ISTE Ltd. |
Descrizione fisica | 1 online resource (361 p.) |
Disciplina |
620.1/1015118
620.11015118 |
Altri autori (Persone) | CazacuOana |
Collana | ISTE |
Soggetto topico |
Inhomogeneous materials - Mathematical models
Materials |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-25389-1
9786613814548 0-470-61136-7 0-470-39397-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 plasticity
1.3.1. 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 Dynamics 2.3. 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 Metals 3.1. 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 estimates 4.4.1. 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 effects 5.3.1. Cazacu and Barlat [CAZ 04] orthotropic yield criterion |
Record Nr. | UNINA-9910139513403321 |
London, : ISTE Ltd. | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Multiscale modeling of heterogenous materials [[electronic resource] ] : from microstructure to macro-scale properties / / edited by Oana Cazacu |
Pubbl/distr/stampa | London, : ISTE Ltd. |
Descrizione fisica | 1 online resource (361 p.) |
Disciplina |
620.1/1015118
620.11015118 |
Altri autori (Persone) | CazacuOana |
Collana | ISTE |
Soggetto topico |
Inhomogeneous materials - Mathematical models
Materials |
ISBN |
1-282-25389-1
9786613814548 0-470-61136-7 0-470-39397-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
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 plasticity
1.3.1. 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 Dynamics 2.3. 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 Metals 3.1. 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 estimates 4.4.1. 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 effects 5.3.1. Cazacu and Barlat [CAZ 04] orthotropic yield criterion |
Record Nr. | UNINA-9910831166503321 |
London, : ISTE Ltd. | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|