Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Size Effects in Plasticity : from macro to nano
1.3.2.3. NanoindentationReferences; Further reading; Chapter 2: Nonlocal continuum plasticity; 2.1. Introduction; 2.2. Small strain plasticity: Local models; 2.2.1. Strain additive decomposition; 2.2.2. Yield criterion; 2.2.3. Loading criteria; 2.2.4. Plastic potential and flow rule; 2.2.5. Hardening rules; 2.2.5.1. Loading criterion; 2.2.5.2. Isotropic hardening; 2.2.5.3. Kinematic hardening; 2.2.5.4. Mixed hardening; 2.2.6. Incremental stress-strain relation for a material with mixed hardening; 2.2.7. Thermodynamically consistent plasticity models
1.3.1.2.1.3. Dislocation density model1.3.1.2.1.4. Non-homogenous plastic deformation model; 1.3.1.2.2. Inverse Hall-Petch effect; 1.3.1.2.2.1. Breakdown in dislocation pile-up model; 1.3.1.2.2.2. Grain boundary sliding; 1.3.1.2.2.3. Phase mixture model; 1.3.2. Extrinsic size effects; 1.3.2.1. Thin films; 1.3.2.1.1. Interaction of size effects due to the thin film thickness and grain size; 1.3.2.2. Pillars; 1.3.2.2.1. Source truncation; 1.3.2.2.2. Source exhaustion; 1.3.2.2.3. Weakest link theory; 1.3.2.2.4. Interaction of size effects due to the pillar diameter and grain size
2.2.8. Rate-dependent plasticity: Models with the von Mises yield surface2.2.8.1. Bingham model; 2.2.8.2. Perzyna model; 2.2.8.3. Peric model; 2.2.9. Rate-dependent plasticity models without a yield surface; 2.3. Small strain plasticity: Nonlocal models; 2.3.1. Gradient plasticity models; 2.3.1.1. Gradient elasticity models; 2.3.1.2. Gradient plasticity models: Fleck and Hutchinson; 2.3.1.3. Gradient plasticity models: Aifantis and his co-workers; 2.3.1.4. Gradient ductile damage: Geers and coworkers; 2.3.1.5. Gradient plasticity models: Gurtin and Anand
2.3.1.6. Gradient plasticity damage model: Voyiadjis and his co-workers2.3.2. Integral-type nonlocal plasticity models; 2.3.2.1. Integral-type nonlocal softening models; 2.3.2.2. Integral-type nonlocal Gurson model; 2.3.2.3. Integral-type nonlocal plastic model: Bazant and Lin; 2.4. Finite strain plasticity: Local models; 2.4.1. Kinematics; 2.4.1.1. Material and spatial description; 2.4.1.2. Deformation gradient; 2.4.1.3. Polar decomposition; 2.4.1.4. Strain measures; 2.4.1.5. Velocity; 2.4.1.6. Material time derivative; 2.4.1.7. Velocity gradient; 2.4.1.8. Rate of deformation
Front Cover; Size Effects in Plasticity: From Macro to Nano; Copyright; Dedication; Contents; About the Authors; Acknowledgments; Chapter 1: Introduction: Size effects in materials; 1.1. Brittle materials; 1.2. Quasibrittle materials; 1.2.1. Failure while the structure has a stable large crack or a deep notch; 1.2.2. Failure at crack initiation; 1.3. Crystalline metals; 1.3.1. Intrinsic size effects; 1.3.1.1. Precipitates size; 1.3.1.2. Grain size; 1.3.1.2.1. Hall-Petch effect; 1.3.1.2.1.1. Dislocation pile-up model; 1.3.1.2.1.2. Dislocation generation from grain boundary ledges
Size Effects in Plasticity : from macro to nano
1.3.2.3. NanoindentationReferences; Further reading; Chapter 2: Nonlocal continuum plasticity; 2.1. Introduction; 2.2. Small strain plasticity: Local models; 2.2.1. Strain additive decomposition; 2.2.2. Yield criterion; 2.2.3. Loading criteria; 2.2.4. Plastic potential and flow rule; 2.2.5. Hardening rules; 2.2.5.1. Loading criterion; 2.2.5.2. Isotropic hardening; 2.2.5.3. Kinematic hardening; 2.2.5.4. Mixed hardening; 2.2.6. Incremental stress-strain relation for a material with mixed hardening; 2.2.7. Thermodynamically consistent plasticity models
1.3.1.2.1.3. Dislocation density model1.3.1.2.1.4. Non-homogenous plastic deformation model; 1.3.1.2.2. Inverse Hall-Petch effect; 1.3.1.2.2.1. Breakdown in dislocation pile-up model; 1.3.1.2.2.2. Grain boundary sliding; 1.3.1.2.2.3. Phase mixture model; 1.3.2. Extrinsic size effects; 1.3.2.1. Thin films; 1.3.2.1.1. Interaction of size effects due to the thin film thickness and grain size; 1.3.2.2. Pillars; 1.3.2.2.1. Source truncation; 1.3.2.2.2. Source exhaustion; 1.3.2.2.3. Weakest link theory; 1.3.2.2.4. Interaction of size effects due to the pillar diameter and grain size
2.2.8. Rate-dependent plasticity: Models with the von Mises yield surface2.2.8.1. Bingham model; 2.2.8.2. Perzyna model; 2.2.8.3. Peric model; 2.2.9. Rate-dependent plasticity models without a yield surface; 2.3. Small strain plasticity: Nonlocal models; 2.3.1. Gradient plasticity models; 2.3.1.1. Gradient elasticity models; 2.3.1.2. Gradient plasticity models: Fleck and Hutchinson; 2.3.1.3. Gradient plasticity models: Aifantis and his co-workers; 2.3.1.4. Gradient ductile damage: Geers and coworkers; 2.3.1.5. Gradient plasticity models: Gurtin and Anand
2.3.1.6. Gradient plasticity damage model: Voyiadjis and his co-workers2.3.2. Integral-type nonlocal plasticity models; 2.3.2.1. Integral-type nonlocal softening models; 2.3.2.2. Integral-type nonlocal Gurson model; 2.3.2.3. Integral-type nonlocal plastic model: Bazant and Lin; 2.4. Finite strain plasticity: Local models; 2.4.1. Kinematics; 2.4.1.1. Material and spatial description; 2.4.1.2. Deformation gradient; 2.4.1.3. Polar decomposition; 2.4.1.4. Strain measures; 2.4.1.5. Velocity; 2.4.1.6. Material time derivative; 2.4.1.7. Velocity gradient; 2.4.1.8. Rate of deformation
Front Cover; Size Effects in Plasticity: From Macro to Nano; Copyright; Dedication; Contents; About the Authors; Acknowledgments; Chapter 1: Introduction: Size effects in materials; 1.1. Brittle materials; 1.2. Quasibrittle materials; 1.2.1. Failure while the structure has a stable large crack or a deep notch; 1.2.2. Failure at crack initiation; 1.3. Crystalline metals; 1.3.1. Intrinsic size effects; 1.3.1.1. Precipitates size; 1.3.1.2. Grain size; 1.3.1.2.1. Hall-Petch effect; 1.3.1.2.1.1. Dislocation pile-up model; 1.3.1.2.1.2. Dislocation generation from grain boundary ledges
Size Effects in Plasticity : from macro to nano
Voyiadjis, George Z. (Autor:in) / Yaghoobi, Mohammadreza (Autor:in)
2019
1 Online-Ressource (xiii, 394 Seiten)
Illustrationen, Diagramme
Campusweiter Zugriff (Universität Hannover) - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots
2.4.1.9. Spin tensor
Description based upon print version of record
Includes index
Buch
Elektronische Ressource
Englisch
DDC:
620.1/1233
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