Nonlinear Continuum Mechanics for Finite Element Analysis [Hardcover]

Javier Bonet (Author), Richard D. Wood (Author)

Book Description

ISBN-10: 052157272X | ISBN-13: 978-0521572729 | Publication Date: September 28, 1997

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.

Editorial Reviews

Review

'... a unified introduction ... can be recommended to postgraduate students and to researchers from mechanical, aerospace and civil engineering areas.' Zentralblatt für Mathematik und ihre Grenzgebiete

'... the authors have succeeded in writing a excellent textbook ... The book is absolutely recommended directly to students and scientists in the field of solid mechanics at universities.' K. Schweizerhof, ZAMM

Book Description

Bonet and Wood present a unified treatment of nonlinear continuum analysis and finite element techniques. These tools provide fundamental background knowledge on software used for continuum analysis. Worked examples and exercises complete each chapter, making it an essential resource for engineers and researchers.

See all Editorial Reviews

Product Details

• Hardcover: 268 pages
• Publisher: Cambridge University Press (September 28, 1997)
• Language: English
• ISBN-10: 052157272X
• ISBN-13: 978-0521572729
• Product Dimensions: 10.3 x 7.3 x 0.8 inches
• Shipping Weight: 1.5 pounds
• Average Customer Review: 4.2 out of 5 stars  See all reviews (10 customer reviews)
• Amazon Best Sellers Rank: #3,270,299 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

9 of 9 people found the following review helpful:

4.0 out of 5 stars An excellent advanced course or self-teaching text, February 9, 2000

By 

Ron Thomson (Glasgow, Scotland) - See all my reviews

This review is from: Nonlinear Continuum Mechanics for Finite Element Analysis (Hardcover)

This is possibly the clearest textbook exposition of the fundamentals of nonlinear mechanics that I have seen. The various finite deformation tensors are developed thoroughly but from initially simple systems in a manner that should be accessible to senior students. These fundamentals are then applied to the increasingly-important class of hyperelastic materials, a fairly recent development in many FE codes but with applications ranging from vehicle tyres, to running shoes to biomedical implants.

Unlike many texts, this book does not attempt to address the whole field of continuum mechanics and, in particular, does not really consider inelasticity or fluids. This helps keep the cost down to a level that students might afford.

An alternative might be Mase's 'Continuum Mechanics' (Shaum's Outline Series), which does not however include the finite element aspects.

11 of 13 people found the following review helpful:

1.0 out of 5 stars Of academic interest only., October 26, 1999

By 

Brian E. Lamm (Toccoa, GA) - See all my reviews

This review is from: Nonlinear Continuum Mechanics for Finite Element Analysis (Hardcover)

This book does a fine job of covering the topic of nonlinear kinematics and uses powerful techniques (push forward, pull back, Lie derivative, etc) to convey kinematics. However, the most important, widely used engineering materials (metals) are summarily ignored until they are covered in a mere ten pages in an appendix. That is, elastoplastic material behavior is barely touched upon. Therefore, things such as descetized kinematics, finite element formulations are virtually worthless to any worker in the field of metals. Only the exceedingly simplistic material behavior known as hyperelastic is covered in detail. As a worker in both mechanical engineering and finite element linear and nonlinear analyses, this book was a great disappointment relative to its usefulness.

3 of 3 people found the following review helpful:

5.0 out of 5 stars Does a good job with the fundamentals, June 21, 2001

By A Customer

This review is from: Nonlinear Continuum Mechanics for Finite Element Analysis (Hardcover)

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.