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The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu
| The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu |
| Autore | E Weinan <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 548.8420153154 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Dislocations in crystals - Mathematical models
Deformations (Mechanics) - Mathematical models Density functionals |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9466-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Perfect crystal""; ""Chapter 3. Stability condition""; ""Chapter 4. Homogeneously deformed crystal""; ""Chapter 5. Deformed crystal and the extended Cauchy-Born rule""; ""Chapter 6. The linearized Kohn-Sham operator""; ""1. From density to potential: Uniform estimates of the operator""; ""Chapter 7. Proof of the results for the homogeneously deformed crystal""; ""Chapter 8. Exponential decay of the resolvent""; ""Chapter 9. Asymptotic analysis of the Kohn-Sham equation""
""Chapter 10. Higher order approximate solution to the Kohn-Sham equation""""Chapter 11. Proofs of Lemmas 5.3 and 5.4""; ""Appendix A. Proofs of Lemmas 9.3 and 9.9""; ""Acknowledgement""; ""Bibliography"" |
| Record Nr. | UNINA-9910480515903321 |
E Weinan <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu
| The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu |
| Autore | E Weinan <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 548.8420153154 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Dislocations in crystals - Mathematical models
Deformations (Mechanics) - Mathematical models Density functionals |
| ISBN | 0-8218-9466-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Perfect crystal""; ""Chapter 3. Stability condition""; ""Chapter 4. Homogeneously deformed crystal""; ""Chapter 5. Deformed crystal and the extended Cauchy-Born rule""; ""Chapter 6. The linearized Kohn-Sham operator""; ""1. From density to potential: Uniform estimates of the operator""; ""Chapter 7. Proof of the results for the homogeneously deformed crystal""; ""Chapter 8. Exponential decay of the resolvent""; ""Chapter 9. Asymptotic analysis of the Kohn-Sham equation""
""Chapter 10. Higher order approximate solution to the Kohn-Sham equation""""Chapter 11. Proofs of Lemmas 5.3 and 5.4""; ""Appendix A. Proofs of Lemmas 9.3 and 9.9""; ""Acknowledgement""; ""Bibliography"" |
| Record Nr. | UNINA-9910796038003321 |
|
E Weinan <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu
| The Kohn-Sham equation for deformed crystals / / Weinan E, Jianfeng Lu |
| Autore | E Weinan <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 548.8420153154 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Dislocations in crystals - Mathematical models
Deformations (Mechanics) - Mathematical models Density functionals |
| ISBN | 0-8218-9466-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Perfect crystal""; ""Chapter 3. Stability condition""; ""Chapter 4. Homogeneously deformed crystal""; ""Chapter 5. Deformed crystal and the extended Cauchy-Born rule""; ""Chapter 6. The linearized Kohn-Sham operator""; ""1. From density to potential: Uniform estimates of the operator""; ""Chapter 7. Proof of the results for the homogeneously deformed crystal""; ""Chapter 8. Exponential decay of the resolvent""; ""Chapter 9. Asymptotic analysis of the Kohn-Sham equation""
""Chapter 10. Higher order approximate solution to the Kohn-Sham equation""""Chapter 11. Proofs of Lemmas 5.3 and 5.4""; ""Appendix A. Proofs of Lemmas 9.3 and 9.9""; ""Acknowledgement""; ""Bibliography"" |
| Record Nr. | UNINA-9910828125803321 |
|
E Weinan <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Unified constitutive laws of plastic deformation [[electronic resource] /] / edited by A.S. Krausz, and K. Krausz
| Unified constitutive laws of plastic deformation [[electronic resource] /] / edited by A.S. Krausz, and K. Krausz |
| Pubbl/distr/stampa | San Diego, : Academic Press, c1996 |
| Descrizione fisica | 1 online resource (479 p.) |
| Disciplina |
620.1/123 20
620.112 |
| Altri autori (Persone) |
KrauszA. S
KrauszK |
| Soggetto topico |
Deformations (Mechanics) - Mathematical models
Plasticity - Mathematical models Dislocations in crystals - Mathematical models |
| ISBN |
1-281-03833-4
9786611038335 0-08-054343-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Unified Constitutive Laws of Plastic Deformation; Copyright Page; Contents; Contributors; Preface; Chapter 1. Unified Cyclic Viscoplastic Constitutive Equations: Development, Capabilities, and Thermodynamic Framework; I. Introduction; II. A Cyclic Viscoplastic Constitutive Law; III. Capabilities of the Constitutive Model; IV. Thermoviscoplasticity; V. Conclusion; References; Chapter 2. Dislocation-Density-Related Constitutive Modeling; I. Introduction; II. One-Internal-Variable Model; III. Two-Internal-Variable Model; IV. Conclusion; References
Chapter 3. Constitutive Laws for High-Temperature Creep and Creep FractureI. Introduction; II. Traditional Approaches to Creep and Creep Fracture; III. The θ Projection Concept; IV. Analysis of Tensile Creep Data; V. Creep under Multiaxial Stress States; VI. Creep under Nonsteady Loading Conditions; VII. Conclusions; References; Chapter 4. Improvements in the MATMOD Equations for Modeling Solute Effects and Yield-Surface Distortion; I. Introduction; II. Modeling Yield-Surface Distortions; III. Simulating Solute Effects through Short Range Back Stresses; IV. Using the Models; V. Summary ReferencesChapter 5. The Constitutive Law of Deformation Kinetics; I. Introduction; II. The Kinetics Equation; III. The State Equations; IV. Measurement and Analysis of the Charac teristic Microstructural Quantities; V. Comments and Summary; References; Chapter 6. A Small-Strain Viscoplasticity Theory Based on Overstress; I. Introduction; II. Viscoplasticity Theory Based on Overstress; III. Discussion; References; Chapter 7. Anisotropic and Inhomogeneous Plastic Deformation of Polycrystalline Solids; I. Introduction; II. Constitutive Relations for a Single Crystallite III. Texture Effects and the Orientation Distribution FunctionIV. Texture Tensor and Average Procedures; V. Texture Effect on the Plastic Flow and Yield; VI. Inhomogeneous Plastic Deformation; References; Chapter 8. Modeling the Role of Dislocation Substructure during Class M and Exponential Creep; I. Introduction; II. Class M and Exponential Creep in Single- Phase Materials; III. Substructure Formation in NaC1 Single Crystals in the Class M and Exponential Creep Regimes; IV. Microstructural Stability; V. Nix-Gibeling One-Dimensional Two-Phase Creep Model VI. Development of a Multiphase Three-Dimensional Creep ModelVII. Summary; Appendix; References; Chapter 9. Comments and Summary; Index |
| Record Nr. | UNINA-9910784562403321 |
| San Diego, : Academic Press, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Unified constitutive laws of plastic deformation / / edited by A.S. Krausz, and K. Krausz
| Unified constitutive laws of plastic deformation / / edited by A.S. Krausz, and K. Krausz |
| Pubbl/distr/stampa | San Diego, : Academic Press, c1996 |
| Descrizione fisica | 1 online resource (479 p.) |
| Disciplina |
620.1/123 20
620.112 620.1123 |
| Altri autori (Persone) |
KrauszA. S
KrauszK |
| Soggetto topico |
Deformations (Mechanics) - Mathematical models
Plasticity - Mathematical models Dislocations in crystals - Mathematical models |
| ISBN |
1-281-03833-4
9786611038335 0-08-054343-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Unified Constitutive Laws of Plastic Deformation; Copyright Page; Contents; Contributors; Preface; Chapter 1. Unified Cyclic Viscoplastic Constitutive Equations: Development, Capabilities, and Thermodynamic Framework; I. Introduction; II. A Cyclic Viscoplastic Constitutive Law; III. Capabilities of the Constitutive Model; IV. Thermoviscoplasticity; V. Conclusion; References; Chapter 2. Dislocation-Density-Related Constitutive Modeling; I. Introduction; II. One-Internal-Variable Model; III. Two-Internal-Variable Model; IV. Conclusion; References
Chapter 3. Constitutive Laws for High-Temperature Creep and Creep FractureI. Introduction; II. Traditional Approaches to Creep and Creep Fracture; III. The θ Projection Concept; IV. Analysis of Tensile Creep Data; V. Creep under Multiaxial Stress States; VI. Creep under Nonsteady Loading Conditions; VII. Conclusions; References; Chapter 4. Improvements in the MATMOD Equations for Modeling Solute Effects and Yield-Surface Distortion; I. Introduction; II. Modeling Yield-Surface Distortions; III. Simulating Solute Effects through Short Range Back Stresses; IV. Using the Models; V. Summary ReferencesChapter 5. The Constitutive Law of Deformation Kinetics; I. Introduction; II. The Kinetics Equation; III. The State Equations; IV. Measurement and Analysis of the Charac teristic Microstructural Quantities; V. Comments and Summary; References; Chapter 6. A Small-Strain Viscoplasticity Theory Based on Overstress; I. Introduction; II. Viscoplasticity Theory Based on Overstress; III. Discussion; References; Chapter 7. Anisotropic and Inhomogeneous Plastic Deformation of Polycrystalline Solids; I. Introduction; II. Constitutive Relations for a Single Crystallite III. Texture Effects and the Orientation Distribution FunctionIV. Texture Tensor and Average Procedures; V. Texture Effect on the Plastic Flow and Yield; VI. Inhomogeneous Plastic Deformation; References; Chapter 8. Modeling the Role of Dislocation Substructure during Class M and Exponential Creep; I. Introduction; II. Class M and Exponential Creep in Single- Phase Materials; III. Substructure Formation in NaC1 Single Crystals in the Class M and Exponential Creep Regimes; IV. Microstructural Stability; V. Nix-Gibeling One-Dimensional Two-Phase Creep Model VI. Development of a Multiphase Three-Dimensional Creep ModelVII. Summary; Appendix; References; Chapter 9. Comments and Summary; Index |
| Record Nr. | UNINA-9910810984803321 |
| San Diego, : Academic Press, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
