A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.
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"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
From the Back Cover
This book describes the theoretical foundations of inelasticity, its numerical formulation and implementation. The subject matter described herein constitutes a representative sample of state-of-the- art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimization theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalization of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalization to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Computational Inelasticity will be of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.
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Most Helpful Customer Reviews
3 of 3 people found the following review helpful:
5.0 out of 5 stars
very complete and useful,
By rewt "rewt" (MA, USA) - See all my reviews
This review is from: Computational Inelasticity (Interdisciplinary Applied Mathematics) (v. 7) (Hardcover)
I bought this book several years ago, and keep going back and study more in it. As usual, I didn't read it from front to back. Instead I started from the middle, jumped around and then settled for chapter 7. That's mainly a review of continuum mechanics, and one of the reasons I keep this book handy. It is very comprehensive and very clear. I think the reason Simo and Hughes could explain things so clear is because they just really deeply understood it. There is hardly any superfluous talking or name dropping, it's all just clear, well printed math and neat little diagrams that lets you get the point. Somehow I understood chapters 8 and 9 much better by first reading chapter 10 on nonlinear viscoelasticity, finally getting the idea of dissipative processes in solids, and how one can actually compute all this. Recently I studied more of the first part of the book: finally this stuff about yield surfaces makes sense. It's a real mystery buster. Another thing that makes this book very useful are the boxes: detailed algorithms, neatly printed, that actually work if you turn them into computer code. In general, this book is not for total beginners, but if you understand the very basic mathematical underpinnings for continuum mechanics, this will bring you to the next level. If you get stuck, read around in other books, but go back to this one, because that's were you will understand.
10 of 14 people found the following review helpful:
4.0 out of 5 stars
Right on target yet someting missing,
This review is from: Computational Inelasticity (Interdisciplinary Applied Mathematics) (v. 7) (Hardcover)
The book had been in the making at Stanford for some time. I happened to use a manuscript of it in 1991 at Virginia Tech. I was pleasantly surprised how quickly a student could pick up relevant aspects of compuatational plasticity from this book; the book has a style of its own. We have successfully used the book in programming the integral (or endochronic) hardening rule with the incremental theory of plasticity. The book surely makes a useful companion to a plasticity textbook.It is disheartening to see that the numerical schemes for the integration of the constitutive equations of the endochronic theory are missing from the book.
4.0 out of 5 stars
Good for reference but difficult to first time learners,
By
This review is from: Computational Inelasticity (Interdisciplinary Applied Mathematics) (v. 7) (Hardcover)
Pros: gives numerical solution algorithms for isotropic and kinematic hardening, etc; covers a wide range of plasticity problems.
Cons: lack of detailed step by step deduction for some important equations, difficult to swallow by first time learners
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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rotated configuration, finite elasticity, infinitesimal elastoplasticity, finite element formulation, variational formulation, algorithmic internal variables, point projection iteration, classical viscoplasticity, mechanical work identity, trial elastic state, algorithmic tangent moduli, closest point projection algorithm, superposed spatial rigid body motions, convected description, midpoint rule algorithm, elastoplastic tangent moduli, generalized midpoint rule, perfect viscoplasticity, algorithmic tangent modulus, elastoplastic moduli, discrete variational formulation, viscoplastic regularization, rotated description, multisurface plasticity, radial return method Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Simulations, Phenomenological Plasticity Models, Continuum Mechanics, Review of Some Basic Results, Classical Rate-Independent Plasticity, One-Dimensional Viscoplasticity, One-Dimensional Frictional Models, The Initial Boundary-Value Problem, Discrete Formulation, Algorithms Based, Uncoupled Volume Response, Kinematic Preliminaries, Continuum Consistent, Extension of General Algorithms, Ad-Hoc Extensions of Phenomenological Plasticity, Rate-Independent Multisurface Plasticity, Nonlinear Isotropic, Objective Time-Stepping Algorithms, The Notion of Closest Point Projection, Stability Analysis of the Algorithmic, Material Properties Shear, Closest Point Projection Iteration, Number of Newton Iterations, Review of Some Basic Notation, Residual Norm Iteration Step Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
rotated configuration, finite elasticity, infinitesimal elastoplasticity, finite element formulation, variational formulation, algorithmic internal variables, point projection iteration, classical viscoplasticity, mechanical work identity, trial elastic state, algorithmic tangent moduli, closest point projection algorithm, superposed spatial rigid body motions, convected description, midpoint rule algorithm, elastoplastic tangent moduli, generalized midpoint rule, perfect viscoplasticity, algorithmic tangent modulus, elastoplastic moduli, discrete variational formulation, viscoplastic regularization, rotated description, multisurface plasticity, radial return method Key Phrases - Capitalized Phrases (CAPs): (learn more)
Numerical Simulations, Phenomenological Plasticity Models, Continuum Mechanics, Review of Some Basic Results, Classical Rate-Independent Plasticity, One-Dimensional Viscoplasticity, One-Dimensional Frictional Models, The Initial Boundary-Value Problem, Discrete Formulation, Algorithms Based, Uncoupled Volume Response, Kinematic Preliminaries, Continuum Consistent, Extension of General Algorithms, Ad-Hoc Extensions of Phenomenological Plasticity, Rate-Independent Multisurface Plasticity, Nonlinear Isotropic, Objective Time-Stepping Algorithms, The Notion of Closest Point Projection, Stability Analysis of the Algorithmic, Material Properties Shear, Closest Point Projection Iteration, Number of Newton Iterations, Review of Some Basic Notation, Residual Norm Iteration Step Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
69
books
cite this book:
See all 69 books citing this book
- Error-controlled Adaptive Finite Elements in Solid Mechanics by Ekkehard Ramm on page 145, page 307, and page 384
- Continuum Mechanics and Plasticity (Modern Mechanics and Mathematics) by Han-Chin Wu on page 318, page 576, and page 669
- Mechanics of Biological Tissue by Gerhard A. Holzapfel on page 368, and page 501
- Porous Media by Wolfgang Ehlers on page 274, and page 380
- The Finite Element Method: Its Basis and Fundamentals, Sixth Edition by O. C. Zienkiewicz on page 432, and page 666
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