Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Homogenization of coupled phenomena in heterogenous media [[electronic resource] /] / Jean-Louis Auriault, Claude Boutin, Christian Geindreau
| Homogenization of coupled phenomena in heterogenous media [[electronic resource] /] / Jean-Louis Auriault, Claude Boutin, Christian Geindreau |
| Autore | Auriault J.-L (Jean-Louis) |
| Pubbl/distr/stampa | London, UK, : ISTE |
| Descrizione fisica | 1 online resource (478 p.) |
| Disciplina |
620.1/1015118
620.11015118 |
| Altri autori (Persone) |
BoutinClaude
GeindreauChristian |
| Collana | ISTE |
| Soggetto topico |
Inhomogeneous materials - Mathematical models
Coupled problems (Complex systems) Homogenization (Differential equations) |
| ISBN |
1-282-68632-1
9786612686320 0-470-61203-7 0-470-61044-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Homogenization of Coupled Phenomena in Heterogenous Media; Contents; Main notations; Introduction; Part one. Upscaling Methods; Chapter 1. An Introduction to Upscaling Methods; 1.1. Introduction; 1.2. Heat transfer in a periodic bilaminate composite; 1.2.1. Transfer parallel to the layers; 1.2.2. Transfer perpendicular to the layers; 1.2.3. Comments; 1.2.4. Characteristic macroscopic length; 1.3. Bounds on the effective coefficients; 1.3.1. Theorem of virtual powers; 1.3.2. Minima in the complementary power and potential power; 1.3.3. Hill principle; 1.3.4. Voigt and Reuss bounds
1.3.4.1. Upper bound: Voigt1.3.4.2. Lower bound: Reuss; 1.3.5. Comments; 1.3.6. Hashin and Shtrikman's bounds; 1.3.7. Higher-order bounds; 1.4. Self-consistent method; 1.4.1. Boundary-value problem; 1.4.2. Self-consistent hypothesis; 1.4.3. Self-consistent method with simple inclusions; 1.4.3.1. Determination of βα for a homogenous spherical inclusion; 1.4.3.2. Self-consistent estimate; 1.4.3.3. Implicit morphological constraints; 1.4.4. Comments; Chapter 2. Heterogenous Medium: Is an Equivalent Macroscopic Description Possible?; 2.1. Introduction 2.2. Comments on techniques for micro-macro upscaling2.2.1. Homogenization techniques for separated length scales; 2.2.2. The ideal homogenization method; 2.3. Statistical modeling; 2.4. Method of multiple scale expansions; 2.4.1. Formulation of multiple scale problems; 2.4.1.1. Homogenizability conditions; 2.4.1.2. Double spatial variable; 2.4.1.3. Stationarity, asymptotic expansions; 2.4.2. Methodology; 2.4.3. Parallels between macroscopic models for materials with periodic and random structures; 2.4.3.1. Periodic materials; 2.4.3.2. Random materials with a REV 2.4.4. Hill macro-homogenity and separation of scales2.5. Comments on multiple scale methods and statistical methods; 2.5.1. On the periodicity, the stationarity and the concept of the REV; 2.5.2. On the absence of, or need for macroscopic prerequisites; 2.5.3. On the homogenizability and consistency of the macroscopic description; 2.5.4. On the treatment of problems with several small parameters; Chapter 3. Homogenization by Multiple Scale Asymptotic Expansions; 3.1. Introduction; 3.2. Separation of scales: intuitive approach and experimental visualization 3.2.1. Intuitive approach to the separation of scales3.2.2. Experimental visualization of fields with two length scales; 3.2.2.1. Investigation of a flexible net; 3.2.2.2. Photoelastic investigation of a perforated plate; 3.3. One-dimensional example; 3.3.1. Elasto-statics; 3.3.1.1. Equivalent macroscopic description; 3.3.1.2. Comments; 3.3.2. Elasto-dynamics; 3.3.2.1. Macroscopic dynamics: Pl = O(ε2); 3.3.2.2. Steady state: Pl = O(ε3); 3.3.2.3. Non-homogenizable description: Pl = O(ε); 3.3.3. Comments on the different possible choices for spatial variables 3.4. Expressing problems within the formalism of multiple scales |
| Record Nr. | UNINA-9910139470003321 |
Auriault J.-L (Jean-Louis)
|
||
| London, UK, : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homogenization of coupled phenomena in heterogenous media [[electronic resource] /] / Jean-Louis Auriault, Claude Boutin, Christian Geindreau
| Homogenization of coupled phenomena in heterogenous media [[electronic resource] /] / Jean-Louis Auriault, Claude Boutin, Christian Geindreau |
| Autore | Auriault J.-L (Jean-Louis) |
| Pubbl/distr/stampa | London, UK, : ISTE |
| Descrizione fisica | 1 online resource (478 p.) |
| Disciplina |
620.1/1015118
620.11015118 |
| Altri autori (Persone) |
BoutinClaude
GeindreauChristian |
| Collana | ISTE |
| Soggetto topico |
Inhomogeneous materials - Mathematical models
Coupled problems (Complex systems) Homogenization (Differential equations) |
| ISBN |
1-282-68632-1
9786612686320 0-470-61203-7 0-470-61044-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Homogenization of Coupled Phenomena in Heterogenous Media; Contents; Main notations; Introduction; Part one. Upscaling Methods; Chapter 1. An Introduction to Upscaling Methods; 1.1. Introduction; 1.2. Heat transfer in a periodic bilaminate composite; 1.2.1. Transfer parallel to the layers; 1.2.2. Transfer perpendicular to the layers; 1.2.3. Comments; 1.2.4. Characteristic macroscopic length; 1.3. Bounds on the effective coefficients; 1.3.1. Theorem of virtual powers; 1.3.2. Minima in the complementary power and potential power; 1.3.3. Hill principle; 1.3.4. Voigt and Reuss bounds
1.3.4.1. Upper bound: Voigt1.3.4.2. Lower bound: Reuss; 1.3.5. Comments; 1.3.6. Hashin and Shtrikman's bounds; 1.3.7. Higher-order bounds; 1.4. Self-consistent method; 1.4.1. Boundary-value problem; 1.4.2. Self-consistent hypothesis; 1.4.3. Self-consistent method with simple inclusions; 1.4.3.1. Determination of βα for a homogenous spherical inclusion; 1.4.3.2. Self-consistent estimate; 1.4.3.3. Implicit morphological constraints; 1.4.4. Comments; Chapter 2. Heterogenous Medium: Is an Equivalent Macroscopic Description Possible?; 2.1. Introduction 2.2. Comments on techniques for micro-macro upscaling2.2.1. Homogenization techniques for separated length scales; 2.2.2. The ideal homogenization method; 2.3. Statistical modeling; 2.4. Method of multiple scale expansions; 2.4.1. Formulation of multiple scale problems; 2.4.1.1. Homogenizability conditions; 2.4.1.2. Double spatial variable; 2.4.1.3. Stationarity, asymptotic expansions; 2.4.2. Methodology; 2.4.3. Parallels between macroscopic models for materials with periodic and random structures; 2.4.3.1. Periodic materials; 2.4.3.2. Random materials with a REV 2.4.4. Hill macro-homogenity and separation of scales2.5. Comments on multiple scale methods and statistical methods; 2.5.1. On the periodicity, the stationarity and the concept of the REV; 2.5.2. On the absence of, or need for macroscopic prerequisites; 2.5.3. On the homogenizability and consistency of the macroscopic description; 2.5.4. On the treatment of problems with several small parameters; Chapter 3. Homogenization by Multiple Scale Asymptotic Expansions; 3.1. Introduction; 3.2. Separation of scales: intuitive approach and experimental visualization 3.2.1. Intuitive approach to the separation of scales3.2.2. Experimental visualization of fields with two length scales; 3.2.2.1. Investigation of a flexible net; 3.2.2.2. Photoelastic investigation of a perforated plate; 3.3. One-dimensional example; 3.3.1. Elasto-statics; 3.3.1.1. Equivalent macroscopic description; 3.3.1.2. Comments; 3.3.2. Elasto-dynamics; 3.3.2.1. Macroscopic dynamics: Pl = O(ε2); 3.3.2.2. Steady state: Pl = O(ε3); 3.3.2.3. Non-homogenizable description: Pl = O(ε); 3.3.3. Comments on the different possible choices for spatial variables 3.4. Expressing problems within the formalism of multiple scales |
| Record Nr. | UNINA-9910830680803321 |
|
Auriault J.-L (Jean-Louis)
|
||
| London, UK, : ISTE | ||
| 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
| 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
| 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 | ||
| ||
Reconstruction of small inhomogeneities from boundary measurements / Habib Ammari, Hyeonbae Kang
| Reconstruction of small inhomogeneities from boundary measurements / Habib Ammari, Hyeonbae Kang |
| Autore | Ammari, Habib |
| Pubbl/distr/stampa | Berlin : Springer, c2004 |
| Descrizione fisica | ix, 238 p. : ill. ; 24 cm |
| Altri autori (Persone) | Kang, Hyeonbaeauthor |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1846 |
| Soggetto topico | Inhomogeneous materials - Mathematical models |
| ISBN | 3540224831 |
| Classificazione |
AMS 35R30
LC QA3.L28 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000465809707536 |
|
Ammari, Habib
|
||
| Berlin : Springer, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
