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Nonlinear Continuum Mechanics for Finite Element Analysis

by Javier Bonet, Richard D. Wood

ISBN-10: 9780521572729
ISBN-10: 0-521-57272-X
ISBN-13: 9780521572729
ISBN-13: 978-0-521-57272-9
Hardcover
1997-09-28
Cambridge University Press


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Editorials


Product Description
This book provides a look at the theory behind the programs engineers use for the computer simulation of nonlinear structural behaviour. It establishes the mathematical foundations for the development of computer programs that can predict the behaviour of mechanical and structural components. After a thorough but succinct introduction, the book delves into mathematical preliminaries, kinematics, stress and equilibrium. Subsequent sections address hyperelasticity for compressible and incompressible materials, finite element discretisation, equation solution and computer implementation. A short appendix extends the kinematics chapter to cater for elasto-plastic deformation. The book provides user instructions, program description and examples for the FLAGSHYP computer implementation for which the source code is available free on the Internet. Worked examples and exercises complete each chapter, making it an essential resource for engineers and researchers.

Reviews


Excellent book
Bonet and Wood have written an excellent book. I thank them for
writing such a wonderful book. Every student who wants to learn nonlinear mechanics should have this book. I am saying this because
I am also a student and I know what a student expects from a book.

nice introduction to nonlinear elasticity
The book is a nice pedagogic introduction to nonlinear elasticity. It lays out the principles clearly supported with good examples, something you won`t be able to find in many other books.
Some previous reviews criticizes the book for not covering anisotropy or plasticity, but the book is simply intended to cover the principles of large deformation elasticity. From that point of view, anisotropy is a case where you have the same formulas but more constants. And plasticity, as the name reveals, is NOT elasticity. There are plenty of plasticity models out there and interested reader should find the proper source for those. Unlike what a previous reviewer says, hyperelasticity is NOT "exceedengly simple", and is a fairly general form of elasticity. It is widely used in many engineering materials and covered in detail in this book.

Good book and a gentle introduction to solid mechanics
Good book and gentle introduction to computational and theoretical aspects of nonlinear solid mechanics with large deformation. I downloaded also the code mentioned, and it is great fun playing with it.

Does a good job with the fundamentals
This book does well with the principles of finite deformation. From its first few chapters which enter into the preliminaries of finite deformation to its final chapters which transform the theory of finite deformation into a workable finite element code. If you are interested in going from the theory to the finite element code, this book is for you. The book uses a finite deformation (hyperelastic and isotropic) finite element code to teach you all of the subroutines required. The book references a website where you can download the source code. The only major weakness of the book is the fact that the book ultimately assumes an isotropic material to carry the theory forward.

Very Good Starting Point to Nonlinear Analysis
This is a very good introductory book to the subject of nonlinear continuum mechanics focusing on finite element applications. It fills the gap existing among different books treating this subject. The approach to Directional Derivative is quite general and very interesting. I would recommend this book for a first course in Nonlinear Continuum Mechanics.


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