[Reviews]
Book Description
This book gives an introduction to computational plasticity and includes the kinematics of large deformations, together with relevant continuum mechanics. Central to the book is its focus on computational plasticity, and we cover an introduction to the finite element method which includes both quasi-static and dynamic problems. We then go on to describe explicit and implicit implementations of plasticity models in to finite element software. Throughout the book, we describe the general, multiaxial form of the theory but uniquely, wherever possible, reduce the equations to their simplest, uniaxial form to develop understanding of the general theory and, we hope, physical insight. We provide several examples of implicit and explicit implementations of von Mises time-independent and visco-plasticity in to the commercial code ABAQUS (including the fortran coding), which should prove invaluable to research students and practising engineers developing ABAQUS 'UMATs'. The book bridges the gap between undergraduate material on plasticity and existing advanced texts on nonlinear computational mechanics, which makes it ideal for students and practising engineers alike. It introduces a range of engineering applications, including superplasticity, porous plasticity, cyclic plasticity and thermo-mechanical fatigue, to emphasize the subject's relevance and importance.
Synopsis
This book gives an introduction to computational plasticity and includes the kinematics of large deformations, together with relevant continuum mechanics. Central to the book is its focus on computational plasticity, and we cover an introduction to the finite element method which includes both quasi-static and dynamic problems. We then go on to describe explicit and implicit implementations of plasticity models in to finite element software. Throughout the book, we describe the general, multiaxial form of the theory but uniquely, wherever possible, reduce the equations to their simplest, uniaxial form to develop understanding of the general theory and, we hope, physical insight. We provide several examples of implicit and explicit implementations of von Mises time-independent and visco-plasticity in to the commercial code ABAQUS (including the fortran coding), which should prove invaluable to research students and practising engineers developing ABAQUS 'UMATs'. The book bridges the gap between undergraduate material on plasticity and existing advanced texts on nonlinear computational mechanics, which makes it ideal for students and practising engineers alike. It introduces a range of engineering applications, including superplasticity, porous plasticity, cyclic plasticity and thermo-mechanical fatigue, to emphasize the subject's relevance and importance.
Table Of Contents
Acknowledgements
Notation
Part I. Microplasticity and continuum plasticity
Microplasticity
Introduction
Crystal slip
Critical resolved shear stress
Dislocations
Further reading
Continuum plasticity
Introduction
Some preliminaries
Yield criterion
Isotropic hardening
Kinematic hardening
Combined isotropic and kinematic hardening
Viscoplasticity and creep
Further reading
Kinematics of large deformations and continuum mechanics
Introduction
The deformation gradient
Measures of strain
Interpretation of strain measures
Polar decomposition
Velocity gradient, rate of deformation, and continuum spin
Elastic-plastic coupling
Objective stress rates
Summary
Further reading
The finite element method for static and dynamic plasticity
Introduction
Hamilton's principle
Introduction to the finite element method
Finite element equilibrium equations
Integration of momentum balance and equilibrium equations
Further reading
Implicit and explicit integration of von Mises plasticity
Introduction
Implicit and explicit integration of constitutive equations
Material Jacobian
Kinematic hardening
Implicit integration in viscoplasticity
Incrementally objective integration for large deformations
Further reading
Implementation of plasticity models into finite element code
Introduction
Elasticity implementation
Verification of implementations
Isotropic hardening plasticity implementation
Large deformation implementations
Elasto-viscoplasticity implementation
Part II. Plasticity models
Superplasticity
Introduction
Some properties of superplastic alloys
Constitutive equations for superplasticity
Multiaxial constitutive equations and applications
References
Porous plasticity
Introduction
Finite element implementation of the porous material constitutive equations
Application to consolidation of Ti-MMCs
References
Creep in an aero-engine combustor material
Introduction
Physically based constitutive equations
Multiaxial implementation into ABAQUS
References
Appendix 9.1
Cyclic plasticity, creep, and TMF
Introduction
Constitutive equations for cyclic plasticity
Constitutive equations for C263 undergoing TMF
References
Appendix A: Elements of tensor algebra
Differentiation
The chain rule
Rotation
Appendix B: Fortran coding available via the OUP website
Index
Customer Reviews
Review #1
Ranking 4
I do not have this book. However, one effort of this book alone is enough to place it above most others. It includes useful and real examples of UMAT for ABAQUS to demonstrate how one can actually implement the theories. Having been a PhD in solid mechanics, I could have saved months if I had this book when I was in school. Even if you don't buy the book, the programs can be downloaded from publisher's website.