Computational Inelasticity

1. Front Matter

   Pages i-xiv

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2. Motivation. One-Dimensional Plasticity and Viscoplasticity

   Pages 1-70

3. Classical Rate-Independent Plasticity and Viscoplasticity

   Pages 71-112

4. Integration Algorithms for Plasticity and Viscoplasticity

   Pages 113-153

5. Discrete Variational Formulation and Finite-Element Implementation

   Pages 154-197

6. Nonsmooth Multisurface Plasticity and Viscoplasticity

   Pages 198-218

7. Numerical Analysis of General Return Mapping Algorithms

   Pages 219-239

8. Nonlinear Continuum Mechanics and Phenomenological Plasticity Models

   Pages 240-275

9. Objective Integration Algorithms for Rate Formulations of Elastoplasticity

   Pages 276-299

10. Phenomenological Plasticity Models Based on the Notion of an Intermediate Stress-Free Configuration

    Pages 300-335

11. Viscoelasticity

    Pages 336-373

12. Back Matter

    Pages 375-392

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This book goes back a long way. There is a tradition of research and teaching in inelasticity at Stanford that goes back at least to Wilhelm Flugge ¨ and Erastus Lee. I joined the faculty in 1980, and shortly thereafter the Chairman of the Applied Mechanics Division, George Herrmann, asked me to present a course in plasticity. I decided to develop a new two-quarter sequence entitled “Theoretical and C- putational Plasticity” which combined the basic theory I had learned as a graduate student at the University of California at Berkeley from David Bogy, James Kelly, Jacob Lubliner, and Paul Naghdi with new computational techniques from the ?nite-element literature and my personal research. I taught the course a couple of times and developed a set of notes that I passed on to Juan Simo when he joined thefacultyin1985. IwasChairmanatthattimeandIaskedJuantofurtherdevelop the course into a full year covering inelasticity from a more comprehensive p- spective. Juan embarked on this path creating what was to become his signature course. He eventually renamed it “Computational and Theoretical Inelasticity” and it covered much of the material that was the basis of his research in material modeling and simulation for which he achieved international recognition. At the outset we decided to write a book that would cover the material in the course.

• Applied Mathematics
• Calculation
• Finite
• Mathematica
• algorithms
• calculus
• equation
• finite element method
• mathematics
• numerical analysis
• optimization

"This book is well written, is easy to follow, and contains much useful material for researchers and graduate students in various branches of engineering and applied mathematics." Newsletter of the EMS, Issue 42, December 2001

• Stanford University, Stanford, USA

  J. C. Simo

• Mechanics and Computation Durand Building, Stanford University, Stanford, USA

  T. J. R. Hughes

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