A First Course in Finite Elements / Edition 1

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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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Editorial Reviews

From the Publisher
"Recommended for upper division undergraduates and above." (CHOICE, February 2008)
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Product Details

  • ISBN-13: 9780470035801
  • Publisher: Wiley
  • Publication date: 5/11/2007
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 336
  • Sales rank: 670,130
  • Product dimensions: 6.77 (w) x 9.76 (h) x 0.77 (d)

Meet the Author

Jacob Fish The Rosalind and John J. Redfern, Jr. ’33Chaired 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, whichbridges the gap between modeling, simulation and design of productsbased on multi-scale principles. Dr. Fish has published over onehundred journal articles and book chapters. Two of his papers, oneon development of multilevel solution techniques for large scalesystems presented at the 1995 ASME International Computers inEngineering Conference and the second one, on fatigue crack growthin aging aircraft presented at the 1993 Structures, StructuralDynamics, and Materials Conference have won the Best Paper Awards.Dr. Fish is a recipient of 2005 USACM Computational StructuralMechanics Award given “in recognition of outstanding andsustained contributions to the broad field of ComputationalStructural Mechanics”. He is editor of the InternationalJournal for Multiscale Computational Engineering.

Ted Belytschko, Department of Mechanical Engineering2145North Sheridan Road, Northwestern University, Evanston, IL60208-311

Ted Belytschko's main interests lie in the development ofcomputational methods for engineering problems.  He hasdeveloped explicit finite element methods that are widely used incrashworthiness analysis and virtual prototyping.  He is alsointerested in engineering education, and he chaired the committeethat developed the "Engineering First Program" atNorthwestern.  He obtained his B.S. and Ph.D. at IllinoisInstitute of Technology in 1965 and 1968, respectively.  Hehas been at Northwestern since 1977 where he is currently Walter P.Murphy Professor and McCormick Distinguished Professor ofComputational Mechanics.  He is co-author of the bookNONLINEAR FINITE ELEMENTS FOR CONTINUA AND STRUCTURES with W.K.Liuand B. Moran (published by Wiley and in the third printing) and hehas edited more than 10 other books.  In January 2004, he waslisted as the 4th most cited researcher in engineering. He is pastChairman of the Engineering Mechanics Division of the ASCE, theApplied Mechanics Division of ASME, past President of USACM, and amember of the National Academy of Engineering (elected in 1992) andthe American Academy of Arts and Sciences (elected in 2002). He isthe editor of Numerical Methods in Engineering.

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Table of Contents


1. Introduction.

2. Direct approach for Discrete Systems.

3. Strong and Weak Forms for One-dimensional Problems.

4. Approximation of Trial Solutions, Weight Functions and GaussQuadrature for One-Dimensional Problems.

5. Finite Element Formulation for One-Dimensional Problems.

6. Strong and Weak Forms for Multi-Dimensional Scalar FieldProblems.

7. Approximation of Trial Solutions, Weight Functions and GaussQuadrature for Multi-Dimensional Problems.

8. Finite Element Formulation for Multi Dimensional Scalar FieldProblems.

9. Finite Element Formulation for Vector Field Problems –Linear Elasticity.

10. Finite Element Formulation for Beams.

11. Commercial Finite Element Program ABAQUS Tutorials.



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