Nonlinear Finite Elements for Continua and Structures [Hardcover]

Ted Belytschko (Author), Wing Kam Liu (Author), Brian Moran (Author)

Book Description

ISBN-10: 0471987735 | ISBN-13: 978-0471987734 | Publication Date: September 12, 2000 | Edition: 1

Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In-depth coverage of the following is given:
* Lagrangian and arbitrary Lagrangian Eulerian treatments of continua
* many of the material laws used in today's software and research
* solution methods, including explicit and implicit time integration methods and methods for equilibrium problems
* basic concepts such as stability and smoothness, and techniques such as linearization and regularization
* methods for shells and structures
* contact-impact problems
* element technology, including multi-field elements
Ideal for self-study, no other book provides such a comprehensive description of nonlinear finite element analysis for solid mechanics. This is an invaluable reference not only for final year undergraduates, postgraduates, academics and engineers working on sophisticated finite element software and in the field of solid mechanics, but also for all users of nonlinear finite element programs.

Editorial Reviews

Review

"This remarkable and comprehensive book represents the state of knowledge of nonlinear solid continua and structures." (Zentralblatt Math, Vol. 959 No. 9, 2001)

From the Back Cover

This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In-depth coverage of the following is given:

• Lagrangian and arbitrary Lagrangian Eulerian treatments of continua
• many of the material laws used in today?s software and research
• solution methods, including explicit and implicit time integration methods and methods for equilibrium problems
• basic concepts such as stability and smoothness, and techniques such as linearization and regularization
• methods for shells and structures
• contact-impact problems
• element technology, including multi-field elements

Ideal for self-study, no other book provides such a comprehensive description of nonlinear finite element analysis for solid mechanics. This is an invaluable reference not only for final year undergraduates, postgraduates, academics and engineers working on sophisticated finite element software and in the field of solid mechanics, but also for all users of nonlinear finite element programs.

Product Details

• Hardcover: 650 pages
• Publisher: Wiley; 1 edition (September 12, 2000)
• Language: English
• ISBN-10: 0471987735
• ISBN-13: 978-0471987734
• Product Dimensions: 9 x 6 x 1.6 inches
• Shipping Weight: 2.6 pounds (View shipping rates and policies)
• Average Customer Review: 3.9 out of 5 stars  See all reviews (13 customer reviews)
• Amazon Best Sellers Rank: #4,573,725 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

8 of 8 people found the following review helpful:

5.0 out of 5 stars Extremely Well written book on Nonlinear FEA, October 9, 2001

By 

sanjay S . Deshpande (Hyderabad , India) - See all my reviews

This review is from: Nonlinear Finite Elements for Continua and Structures (Paperback)

This book provides a very sound foundation of nonlinear continuum mechanics and the latest technology of finite elements and procedures and is a valuable reference for every practising engineer. We have used this book extensively in our LS DYNA training programmes which has an equal focus on nonlinear continuum mechanics and a hands on training on the software involving problems ranging from the most simple spring mass dasahpot system to full car crash simulations. We have been greatly benefited by the lucid approach followed in explanation of large strain measures and transformation between various stress measures which most of the other books either don't discuss or fail to do so by following a very abstract way which the practical engineers don't appreciate . We would like to add here that any mechanical engineer can become a LS DYNA operator but if he/she develop an understanding of when to use a reduced integrated element and the fully integrated one and the how and why of controlling the hourglass energies , then you are marching towards becoming a matured finite element analyst.
In summary , Nonlinear Finite Elements for Continua and Structures is an extremely well written book and is strongly recommended for finite element researchers and practitioners .

9 of 10 people found the following review helpful:

5.0 out of 5 stars Nonlinear Finite Elements for Continua and Structures, September 9, 2001

By 

Jacob Fish (USA) - See all my reviews
(REAL NAME)   

This review is from: Nonlinear Finite Elements for Continua and Structures (Paperback)

This is the first comprehensive book on nonlinear finite element
analysis. It provides thorough coverage of the most important
topics for both students and users of nonlinear software. I am currently teaching two Nonlinear Finite Element courses, one at RPI (12 students) and one at the Knolls Nuclear Laboratory (13 engineers). In both cases the book is adopted as a textbook. Students love it and claim that "this is the ONLY book on the
subject matter that explains difficult concepts in a way that engineers can comprehend."

4.0 out of 5 stars Learning nonlinear FEA?, March 20, 2011

By 

Francisco - See all my reviews

Amazon Verified Purchase

This review is from: Nonlinear Finite Elements for Continua and Structures (Paperback)

This is not an easy book. Nevertheless it is worth the price as it presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis. Some of the material covered is better understood if one has other references to compare with(e.g. Bonet and and Woods)Comparing both books, Belitschko is more comprehensive and detailed but in some aspects Bonet and Woods book is simpler and easier to understand. It helps to have both.
For those who are new to the field, like me (Untill know I have been dealing all the time with linear static analysis and geometric nonlinearity) it takes more than a reading to become familiar with the subject. Jumping to Bonet and Jones a few times helped a lot in understanding Belytschko.