Cyclic Plasticity of Metals

Modeling Fundamentals and Applications

1st Edition - November 11, 2021

Editors: Hamid Jahed, Ali A. A. Roostaei

Paperback ISBN:

9 7 8 - 0 - 1 2 - 8 1 9 2 9 3 - 1

eBook ISBN:

9 7 8 - 0 - 1 2 - 8 1 9 2 9 4 - 8

Cyclic Plasticity of Metals: Modeling Fundamentals and Applications provides an exhaustive overview of the fundamentals and applications of various cyclic plasticity models… Read more

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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.

Cover image
Title page
Table of Contents
Copyright
List of contributors
Foreword
Preface
Part One: Introduction
1: Experimental observations in cyclic loading of metals
Abstract
1.1. Introduction
1.2. Bauschinger phenomenon
1.3. Cyclic hardening/softening
1.4. Mean stress/strain response evolution
1.5. Direction-dependent behavior
1.6. Masing behavior
1.7. Closing remarks
References
2: Fundamentals of cyclic plasticity models
Abstract
2.1. States of stress and strain
2.2. Stress–strain relations
2.3. Hardening rules
2.4. Closing remarks
References
Part Two: Cyclic plasticity models
3: Multisurface cyclic plasticity
Abstract
3.1. Introduction
3.2. General framework for small strains based on stored energies and elastic corrector rates
3.3. Overlay and nested surface models. The Mróz model
3.4. A translation rule for an implicit implementation of the Mróz model
3.5. Multisurface model using Prager translation rule
3.6. Connection with subloading and bounding surface models
3.7. Rheology-based models without explicit backstress
3.8. Comparison of multisurface models for multiaxial cyclic behavior
3.9. Large strains formulation of Besseling models
3.10. Concluding remarks
References
4: Two-surface cyclic plasticity
Abstract
Acknowledgements
4.1. Introduction
4.2. Fundamentals of two-surface plasticity
4.3. Further development of the two-surface plasticity
4.4. General assessment and current trends
4.5. Conclusion
References
5: Nonlinear kinematic hardening cyclic plasticity
Abstract
Acknowledgements
5.1. Introduction
5.2. Kinematic hardening models
5.3. Kinematic hardening rules coupled with influential descriptions
5.4. Closing remarks
References
6: Distortional hardening cyclic plasticity
Abstract
Acknowledgements
6.1. Introduction
6.2. Experimental measurement of yield surface distortion
6.3. Modeling of yield surface distortion
6.4. Numerical simulations and demonstrations
6.5. Conclusions
References
7: Computational methods for cyclic plasticity
Abstract
7.1. Introduction
7.2. Thermomechanical framework
7.3. Variational principles
7.4. Constitutive update algorithms
7.5. Minimum principle for the dissipation potential
7.6. Generalized and endochronic plasticity
7.7. Closure
References
Part Three: Applications of cyclic plasticity
8: Cyclic plasticity applied to the notch analysis of metals
Abstract
8.1. Introduction
8.2. Stress states at a notch tip
8.3. The Neuber rule
8.4. Equivalent Strain Energy Density (ESED) rule
8.5. Notches under uniaxial cyclic loadings
8.6. Notches under multiaxial cyclic loading
8.7. Extension of the notch analysis to asymmetric/anisotropic metals
8.8. Summary
References
9: Application of cyclic plasticity for modeling ratcheting in metals
Abstract
9.1. Introduction
9.2. Evolution features of ratcheting
9.3. Cyclic plasticity models of ratcheting
9.4. Ratcheting of structure components and its effect on fatigue failure
9.5. Closing remarks
References
10: Application of cyclic plasticity to fatigue modeling
Abstract
10.1. Introduction
10.2. Understanding physical damage due to fatigue
10.3. Fatigue damage models
10.4. Application of cyclic plasticity
References
11: Cyclic plasticity of additively manufactured metals
Abstract
Acknowledgements
11.1. Introduction
11.2. Additive manufacturing background
11.3. Anisotropic behavior of AM metals
11.4. Cyclic plasticity modeling of additively manufactured Ti-6Al-4V
11.5. Comparison of 3D printed and conventional SS316L
11.6. Accelerated testing of creep and ratcheting
11.7. Closing remarks
References
Index