A First Course in Finite Elements

Front Cover
Wiley, Apr 30, 2007 - Mathematics - 336 pages
4 Reviews
Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations.

Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student.

This authoritative text on Finite Elements: Adopts a generic approach to the subject, and is not application specific In conjunction with a web-based chapter, it integrates code development, theory, and application in one book Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources Contains a comprehensive set of homework problems at the end of each chapter Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study. Accompanied by a book companion website housing supplementary material that can be found at http: //www.wileyeurope.com/college/Fish

"A First Course in Finite Elements" is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study.

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this is probably the best book from which engineers can be introduced to the finite element method. The notation and techniques used are fresh and modern(for example the derivation of the weak form for elasticity problems), and the material is built up in a logical and progressive manner. The mathematics needed for someone to understand the method are introduced smoothly, without losing generality. For example the reader will be introduced to the variational techniques needed to derive the weak formulation of a problem and will understand the equivalence between the weak and strong forms. Boundary conditions are explained throughout the text and their application methods are explained since page 22. Furthermore, the user can actually learn the basics on how to program the method, by using the extra material with matlab codes and notes on the programming of the method, which are clean and well structured. At this point it beats any 'learn how to program the fem' book. It is amazing how much basic material is contained in this little book, no matter whether someone uses books like the ones of Hughes, Zienkiewicz, or more mathematical like the one of Braess, there will be always a reason to return back on this one. I have been taught this book in class and I am using it as a teaching assistant since then, and I find it to be one of the most useful book I have in my civil engineering library.
As a last note, I want to say that I have red the book from cover to cover without tracking any typo...
 

User Review - Flag as inappropriate

Very good introduction. But there are too many typos in this book.

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About the author (2007)

Jacob Fish The Rosalind and John J. Redfern, Jr. ’33 Chaired Professor in Engineering Rensselaer Polytechnic Institute, Troy, NY 12180

Dr. Fish has 20 years of experience (both industry and academia) in the field of multi-scale computational engineering, which bridges the gap between modeling, simulation and design of products based on multi-scale principles. Dr. Fish has published over one hundred journal articles and book chapters. Two of his papers, one on development of multilevel solution techniques for large scale systems presented at the 1995 ASME International Computers in Engineering Conference and the second one, on fatigue crack growth in aging aircraft presented at the 1993 Structures, Structural Dynamics, and Materials Conference have won the Best Paper Awards. Dr. Fish is a recipient of 2005 USACM Computational Structural Mechanics Award given “in recognition of outstanding and sustained contributions to the broad field of Computational Structural Mechanics”. He is editor of the International Journal for Multiscale Computational Engineering.

Ted Belytschko, Department of Mechanical Engineering2145 North Sheridan Road, Northwestern University, Evanston, IL 60208-311

Ted Belytschko's main interests lie in the development of computational methods for engineering problems.  He has developed explicit finite element methods that are widely used in crashworthiness analysis and virtual prototyping.  He is also interested in engineering education, and he chaired the committee that developed the "Engineering First Program" at Northwestern.  He obtained his B.S. and Ph.D. at Illinois Institute of Technology in 1965 and 1968, respectively.  He has been at Northwestern since 1977 where he is currently Walter P. Murphy Professor and McCormick Distinguished Professor of Computational Mechanics.  He is co-author of the book NONLINEAR FINITE ELEMENTS FOR CONTINUA AND STRUCTURES with W.K.Liu and B. Moran (published by Wiley and in the third printing) and he has edited more than 10 other books.  In January 2004, he was listed as the 4th most cited researcher in engineering. He is past Chairman of the Engineering Mechanics Division of the ASCE, the Applied Mechanics Division of ASME, past President of USACM, and a member of the National Academy of Engineering (elected in 1992) and the American Academy of Arts and Sciences (elected in 2002). He is the editor of Numerical Methods in Engineering.

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