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Introduction to computational plasticity (计算塑性概论)
发布日期:2007-04-04  浏览
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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.

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