Cyclic Plasticity of Metals

Cyclic Plasticity of Metals

Modeling Fundamentals and Applications

1st Edition - November 11, 2021

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  • Editors: Hamid Jahed, Ali Roostaei
  • eBook ISBN: 9780128192948
  • Paperback ISBN: 9780128192931

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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.

Key Features

  • Reviews constitutive cyclic plasticity models for various metals and alloys with different cell structures (cubic, hexagonal, and more), allowing for more accurate evaluation of a component’s performance under loading
  • Provides real-world industrial context by demonstrating applications of cyclic plasticity models in the analysis of engineering components
  • Overview of latest models allows researchers to extend available models or develop new ones for analysis of an array of metals under more complex loading conditions


Academic researchers in plasticity modelling, mechanics of materials, and fatigue analysis; R&D researchers in automotive and aerospace industries; practicing design engineers, especially durability analysts; advanced engineering grad students

Table of Contents

  • 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

Product details

  • No. of pages: 468
  • Language: English
  • Copyright: © Elsevier 2021
  • Published: November 11, 2021
  • Imprint: Elsevier
  • eBook ISBN: 9780128192948
  • Paperback ISBN: 9780128192931

About the Editors

Hamid Jahed

Director of Fatigue and Stress Analysis Laboratory, Mechanical and Mechatronics Engineering Department, University of Waterloo. Dr. Jahed is a renowned researcher in the fields of plasticity, cyclic plasticity, continuum mechanics, and durability of metals under cyclic loads. He has over 200 scientific publications and has trained more than 75 PDF, PhD, and MASc students in these fields. Working closely with various industries, especially automotive, he has developed a number of cyclic plasticity-based fatigue life prediction models with direct application to design of structural parts in the transportation industry. He has been teaching different subjects in his research field to over 4000 undergraduate and graduate students over the past twenty years and has received a number of teaching awards including the Sandford Fleming Teaching Excellence Award.

Affiliations and Expertise

Director of Fatigue and Stress Analysis Laboratory, Mechanical and Mechatronics Engineering Department, University of Waterloo, Canada

Ali Roostaei

Postdoctoral Fellow, Mechanical and Mechatronics Engineering Department, University of Waterloo. Dr. Roostaei works in the field of cyclic plasticity of metals, specifically magnesium alloys. He has developed a new cyclic plasticity model applicable to wrought magnesium alloys, which exhibit unusual plastic flow characteristics under cyclic conditions. During the model development process he completed a comprehensive review of these models into numerical code for the purpose of comparing the results of his model in similar loading cases. He has published over a dozen articles in peer-reviewed internationally renowned journals.

Affiliations and Expertise

Postdoctoral Fellow, Mechanical and Mechatronics Engineering Department, University of Waterloo, Canada

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