A First Course in Finite Elements by Jacob Fish (PDF)

Description

The text material evolved from over 50 years of combined teaching experience it deals with a formulation and application of the finite element method. A meaningful course can be constructed from a subset of the chapters in this book for a quarter course; instructions for such use are given in the preface. The course material is organized in three chronological units of one month each: 1) the finite element formulation for one-dimensional problems, 2) the finite element formulation for scalar field problems in two dimensions and 3) finite element programming and application to scalar field problems; and finite element formulation for vector field problems in two dimensions and beams. In conjunction with the book there will be the access and use of ABAQUS software and MATLAB exercises.

User’s Reviews

Editorial Reviews: Review “Recommended for upper division undergraduates and above.” (CHOICE, February 2008) From the Inside Flap 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 specificIn conjunction with a web-based chapter, it integrates code development, theory, and application in one bookProvides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resourcesContains a comprehensive set of homework problems at the end of each chapterProduces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study.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. From the Back Cover 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 specificIn conjunction with a web-based chapter, it integrates code development, theory, and application in one bookProvides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resourcesContains a comprehensive set of homework problems at the end of each chapterProduces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study.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. About the Author rong>Jacob Fish The Rosalind and John J. Redfern, Jr. ’33 Chaired Professor in Engineering Rensselaer Polytechnic Institute, Troy, NYDr. 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 Engineering, Northwestern University, Evanston, ILTed 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. n 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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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Course I took a long time ago. I guess 5 stars.

⭐This book makes many assumptions about the students previous knowledge. It assumes you know where equations come from and skips many steps when it is manipulating those equations. It took us hours to work through each example just trying to figure out how the author went from step 1 to step 3.After taking this class, I understand less about Finite Elements then I thought I did before the class.

⭐Author does a pretty poor job explaining just about anything in finite elements. He gives a generic suggestion, then blasts the reader with complex examples where steps are skipped.

⭐Contains very solid theory, but it a little hard to understand. It could use to provide more examples of difficult concepts. Would recommend a more understandable book.

⭐Very good!

⭐By far one of the best Finite Elements books i have seen in the market that makes it easy to teach with better examples and applications.

⭐still need to up to date, good enough for my study but if you r interested in coding for your own FEA program ,still need some adv book

⭐Although this says it comes with an accompanying website which includes a student edition of ABAQUS, THIS IS WRONG!!!!I bought the book brand new, which mean I paid $78, and I got NO WEBSITE, NO SOFTWARE.You can save money by buying this book elsewhere!

⭐Required reading for a course. DON’T buy this book if you think you are getting a useable version of Abaqus (unless you are running WinXP). You can probably get Abaqus student edition by contacting Dassault Systemes directly. I hear there might be a .pdf of this book floating about on the web. It’s a shame, because it is a good book, but the software provided by Wylie is obsolete.

⭐Great book

⭐10 out of 10

⭐Dieses Buch gewährt einen sehr einfach verständlichen Einstieg in die Finite Elemente Methode.Es behandelt die Methode vollständig für Spannungsanalysen und Wärmeübertragungen.Mir wurde dieses Buch von meinem Professor empfohlen und ich kann es ebenfalls jedem Student empfehlen, der von Finiten Elementen noch nie etwas gehört hat und sich selbstständig diese Methode aneignen will oder etwas zu der grundsätzlichen Methode nachschlagen will.Ein tolles Extra ist, dass das Programm ABAQUS auf der CD mitgeliefert wird. Es ist zwar eine Version, die auf 1000 Knoten beschränkt ist (reicht nur für ziemlich kleine Probleme), aber mit Hilfe der Anleitung am Ende des Buches lassen sich ein paar Modelle erstellen.Wer sehr leicht Zugang zu sehr komplexen mathematischen Zusammenhängen findet oder sich bereits mit den Grundlagen der FEM vertraut gemacht hat und später sich nicht nur mit der reinen Anwendung der Methode beschäftigen will, empfehle ich allerdings ein tiefgreifenderes Buch. Man kann natürlich auch mit diesem Buch anfangen und dann sein Wissen mit anderen Lektüren erweitern.Was in diesem Buch z.B. fehlt: Wie ein fertiges FE-Programm konkret aufgebaut ist und wie die FE-Gleichungen konkret gelöst werden (können). Das Buch beschränkt sich auf kleine Verformungen (also lineare Spannungsanalyse) und auf verschiedene Materialien wird ebenfalls nicht eingegangen. Die Vernetzung fällt insgesamt auch etwas oberflächlich aus.Dennoch ist es ein absolut lesenswertes Buch, dass man auch als Englisch-Laye gut verstehen kann.In one sentence: the best introduction at all to the topic. The authors clearly present and derive the FEM as the solution of the weak form of the governing differential equations. They do not simply string together one matrix after the other as in many german books on the topic. Many examples worked out and also many problems, the latter without solutions, the only minor weak point.

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