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MATLAB Guide to Finite Elements

An Interactive Approach

  • Textbook
  • © 2003

Overview

Authors:
  1. Peter I. Kattan
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  • Textbook on finite elements using the popular computer program MATLAB with CD-ROM

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Introduction

    • Peter I. Kattan
    Pages 1-10

  3. The Spring Element

    • Peter I. Kattan
    Pages 11-26

  4. The Linear Bar Element

    • Peter I. Kattan
    Pages 27-43

  5. The Quadratic Bar Element

    • Peter I. Kattan
    Pages 44-59

  6. The Plane Truss Element

    • Peter I. Kattan
    Pages 60-88

  7. The Space Truss Element

    • Peter I. Kattan
    Pages 89-105

  8. The Beam Element

    • Peter I. Kattan
    Pages 106-132

  9. The Plane Frame Element

    • Peter I. Kattan
    Pages 133-169

  10. The Grid Element

    • Peter I. Kattan
    Pages 170-186

  11. The Space Frame Element

    • Peter I. Kattan
    Pages 187-210

  12. The Linear Triangular Element

    • Peter I. Kattan
    Pages 211-241

  13. The Quadratic Triangular Element

    • Peter I. Kattan
    Pages 242-266

  14. The Bilinear Quadrilateral Element

    • Peter I. Kattan
    Pages 267-302

  15. The Quadratic Quadrilateral Element

    • Peter I. Kattan
    Pages 303-328

  16. The Linear Tetrahedral (Solid) Element

    • Peter I. Kattan
    Pages 329-357

  17. Back Matter

    Pages 359-385
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Keywords

About this book

This is a book for people who love finite elements and MATLAB I . We will use the popular computer package MATLAB as a matrix calculator for doing finite element analysis. Problems will be solved mainly using MATLAB to carry out the tedious and lengthy matrix calculations in addition to some manual manipulationsespecially when applying the boundary conditions. In particular the steps ofthe finite element method are emphasized in this book. The reader will not find ready-made MATLAB programsfor use as blackboxes. Insteadstep-by-stepsolutionsoffiniteelementprob­ lems are examined in detail using MATLAB. Problems from linearelastic structural mechanics are used throughout the book. The emphasis is not on mass computation or programming, but rather on leaming the finite element method computations and understanding of the underlying concepts. In addition to MATLAB, the MATLAB Symbolic Math 'Ioolbox? is used in Chapters 12, 13, and 14. Many types of finite elements are studied in this book including the spring ele­ ment, the bar element, two-dimensional and three-dimensional truss elements, plane and space beam and frame elements, two-dimensional elasticity elements for plane stress and plane strain problems,and one three-dimensional solid element. Each chap­ ter deals with only one type ofelement. Also each chapter starts with a summary of the basic equations for the elementfollowed by a numberofexamples demonstrating the use of the element using the provided MATLAB functions. Special MATLAB functions for finite elements are provided as M-files on the accompanying CD-ROM to be used in the examples.

Reviews

From the reviews:

"This book is written for people studying finite element analysis … . A special feature of this book is the accompanying CD-ROM which includes 75 MATLAB functions (M-files) that are specifically written to be used with this book. … Additionally, short answers to all problems are provided at the end of the book. On balance, this book written in interactive manner can be very useful to students and engineers dealing with applications of finite element method in structural mechanics." (Oleg Titow, Zentralblatt MATH, Vol. 1057 (8), 2005)

"MATLAB is a popular programming platform in engineering education for its intuitive syntax, graphic visualization, facility with vector and matrix operations, and wide variety of add-on toolboxes available for specific applications. … is most appropriate as a course resource on practical implementation of finite elements for mechanical engineering undergraduate students who have either already taken or are concurrently taking an introductory course in solid mechanics. … The book’s style is straightforward and easy to comprehend. … Summing Up: Recommended. Lower- and upper-division undergraduates; professionals." (M. R. King, CHOICE, Vol. v4 (3), November, 2007)

From the reviews of the second edition:

"This book constitutes the numerical implementation of finite element analysis using the computer program MATLAB. The accompanying CD-ROM includes more than eighty MATLAB functions specially written to be used with this book. … Problems from linear elastic structure mechanics are used throughout the book. The book is very useful to both students and researchers in engineering." (V. Leontiev, Zentralblatt MATH, Vol. 1114 (16), 2007)

"The book is intended as a guide to writing finite element programs in MATLAB and understanding the main steps in a finite element analysis. The book is well written and very easy to read by students … . The author succeeded in providing a valuable tool to help engineering students learn the main steps of finite element analysis using MATLAB." (Slimane Adjerid, Siam Review, Vol. 50 (3), 2008)

Bibliographic Information

  • Book Title: MATLAB Guide to Finite Elements

  • Book Subtitle: An Interactive Approach

  • Authors: Peter I. Kattan

  • DOI: https://doi.org/10.1007/978-3-662-05209-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • eBook ISBN: 978-3-662-05209-9Published: 17 April 2013

  • Edition Number: 1

  • Number of Pages: X, 385

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Computational Intelligence, Mathematical Software, Numerical Analysis

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