Size Effects in Plasticity: From Macro to Nano provides concise explanations of all available methods in this area, from atomistic simulation, to non-local continuum models to capture size effects. It then compares their applicability to a wide range of research scenarios. This essential guide addresses basic principles, numerical issues and computation, applications and provides code which readers can use in their own modeling projects. Researchers in the fields of computational mechanics, materials science and engineering will find this to be an ideal resource when they address the size effects observed in deformation mechanisms and strengths of various materials.
1. Chapter 1: Introduction: Size effects in materials - p. xiii 2. Chapter 2: Nonlocal continuum plasticity - p. 79 3. Abstract - p. 81 4. 2.1 Introduction - p. 81 5. 2.2 Small strain plasticity: Local models - p. 82 6. 2.3 Small strain plasticity: Nonlocal models - p. 102 7. 2.4 Finite strain plasticity: Local models - p. 130 8. 2.5 Finite strain plasticity: Nonlocal models - p. 169 9. Chapter 3: Nonlocal crystal plasticity - p. 190 10. Chapter 4: Discrete dislocation dynamics - p. 232 11. Chapter 5: Molecular dynamics - p. 273 12. Chapter 6: Future evolution: Multiscale modeling framework to develop a physically based nonlocal plasticity model for crystalline materials - p. 355 13. Index - p. 385
Size Effects in Plasticity: From Macro to Nano provides concise explanations of all available methods in this area, from atomistic simulation, to non-local continuum models to capture size effects. It then compares their applicability to a wide range of research scenarios. This essential guide addresses basic principles, numerical issues and computation, applications and provides code which readers can use in their own modeling projects. Researchers in the fields of computational mechanics, materials science and engineering will find this to be an ideal resource when they address the size effects observed in deformation mechanisms and strengths of various materials.
1. Chapter 1: Introduction: Size effects in materials - p. xiii 2. Chapter 2: Nonlocal continuum plasticity - p. 79 3. Abstract - p. 81 4. 2.1 Introduction - p. 81 5. 2.2 Small strain plasticity: Local models - p. 82 6. 2.3 Small strain plasticity: Nonlocal models - p. 102 7. 2.4 Finite strain plasticity: Local models - p. 130 8. 2.5 Finite strain plasticity: Nonlocal models - p. 169 9. Chapter 3: Nonlocal crystal plasticity - p. 190 10. Chapter 4: Discrete dislocation dynamics - p. 232 11. Chapter 5: Molecular dynamics - p. 273 12. Chapter 6: Future evolution: Multiscale modeling framework to develop a physically based nonlocal plasticity model for crystalline materials - p. 355 13. Index - p. 385