Cyclic Plasticity of Metals: Modeling Fundamentals and Applications provides an exhaustive overview of the fundamentals and applications of various cyclic plasticity models including forming and spring back, notch analysis, fatigue life prediction, and more. Covering metals with an array of different structures, such as hexagonal close packed (HCP), face centered cubic (FCC), and body centered cubic (BCC), the book starts with an introduction to experimental macroscopic and microscopic observations of cyclic plasticity and then segues into a discussion of the fundamentals of the different cyclic plasticity models, covering topics such as kinematics, stress and strain tensors, elasticity, plastic flow rule, and an array of other concepts. A review of the available models follows, and the book concludes with chapters covering finite element implementation and industrial applications of the various models.
1. Part One: Introduction - p. xx 2. 1. Experimental observations in cyclic loading of metals - p. xx 3. 2. Fundamentals of cyclic plasticity models - p. 22 4. Part Two: Cyclic plasticity models - p. 51 5. 3. Multisurface cyclic plasticity - p. 51 6. Abstract - p. 51 7. 3.1 Introduction - p. 55 8. 3.2 General framework for small strains based on stored energies and elastic corrector rates - p. 57 9. 3.3 Overlay and nested surface models. The Mróz model - p. 60 10. 3.4 A translation rule for an implicit implementation of the Mróz model - p. 65 11. 3.5 Multisurface model using Prager translation rule - p. 68 12. 3.6 Connection with subloading and bounding surface models - p. 78 13. 3.7 Rheology-based models without explicit backstress - p. 80 14. 3.8 Comparison of multisurface models for multiaxial cyclic behavior - p. 82 15. 3.9 Large strains formulation of Besseling models - p. 86 16. 3.10 Concluding remarks - p. 96 17. References - p. 97 18. 4. Two-surface cyclic plasticity - p. 100 19. 5. Nonlinear kinematic hardening cyclic plasticity - p. 138 20. 6. Distortional hardening cyclic plasticity: Experiments and modeling - p. 174 21. 7. Computational methods for cyclic plasticity - p. 225 22. Abstract - p. 225 23. 7.1 Introduction - p. 227 24. 7.2 Thermomechanical framework - p. 228 25. 7.3 Variational principles - p. 244 26. 7.4 Constitutive update algorithms - p. 250 27. 7.5 Minimum principle for the dissipation potential - p. 269 28. 7.6 Generalized and endochronic plasticity - p. 273 29. 7.7 Closure - p. 276 30. References - p. 277 31. Part Three: Applications of cyclic plasticity - p. 279 32. 8. Cyclic plasticity applied to the notch analysis of metals - p. 279 33. 9. Application of cyclic plasticity for modeling ratcheting in metals - p. 323 34. 10. Application of cyclic plasticity to fatigue modeling - p. 355 35. 11. Cyclic plasticity of additively manufactured metals - p. 395 36. Index - p. 435
Cyclic Plasticity of Metals: Modeling Fundamentals and Applications provides an exhaustive overview of the fundamentals and applications of various cyclic plasticity models including forming and spring back, notch analysis, fatigue life prediction, and more. Covering metals with an array of different structures, such as hexagonal close packed (HCP), face centered cubic (FCC), and body centered cubic (BCC), the book starts with an introduction to experimental macroscopic and microscopic observations of cyclic plasticity and then segues into a discussion of the fundamentals of the different cyclic plasticity models, covering topics such as kinematics, stress and strain tensors, elasticity, plastic flow rule, and an array of other concepts. A review of the available models follows, and the book concludes with chapters covering finite element implementation and industrial applications of the various models.
1. Part One: Introduction - p. xx 2. 1. Experimental observations in cyclic loading of metals - p. xx 3. 2. Fundamentals of cyclic plasticity models - p. 22 4. Part Two: Cyclic plasticity models - p. 51 5. 3. Multisurface cyclic plasticity - p. 51 6. Abstract - p. 51 7. 3.1 Introduction - p. 55 8. 3.2 General framework for small strains based on stored energies and elastic corrector rates - p. 57 9. 3.3 Overlay and nested surface models. The Mróz model - p. 60 10. 3.4 A translation rule for an implicit implementation of the Mróz model - p. 65 11. 3.5 Multisurface model using Prager translation rule - p. 68 12. 3.6 Connection with subloading and bounding surface models - p. 78 13. 3.7 Rheology-based models without explicit backstress - p. 80 14. 3.8 Comparison of multisurface models for multiaxial cyclic behavior - p. 82 15. 3.9 Large strains formulation of Besseling models - p. 86 16. 3.10 Concluding remarks - p. 96 17. References - p. 97 18. 4. Two-surface cyclic plasticity - p. 100 19. 5. Nonlinear kinematic hardening cyclic plasticity - p. 138 20. 6. Distortional hardening cyclic plasticity: Experiments and modeling - p. 174 21. 7. Computational methods for cyclic plasticity - p. 225 22. Abstract - p. 225 23. 7.1 Introduction - p. 227 24. 7.2 Thermomechanical framework - p. 228 25. 7.3 Variational principles - p. 244 26. 7.4 Constitutive update algorithms - p. 250 27. 7.5 Minimum principle for the dissipation potential - p. 269 28. 7.6 Generalized and endochronic plasticity - p. 273 29. 7.7 Closure - p. 276 30. References - p. 277 31. Part Three: Applications of cyclic plasticity - p. 279 32. 8. Cyclic plasticity applied to the notch analysis of metals - p. 279 33. 9. Application of cyclic plasticity for modeling ratcheting in metals - p. 323 34. 10. Application of cyclic plasticity to fatigue modeling - p. 355 35. 11. Cyclic plasticity of additively manufactured metals - p. 395 36. Index - p. 435
