MATLAB Guide to Finite Elements

by Kattan, Peter Issac

• ISBN13: 9783540706977
• ISBN10: 3540706976
• Edition: 2nd
• Format: Hardcover
• Copyright: 2007-05-04
• Publisher: Springer Verlag

Summary

This successful textbook explores the numerical implementation of Finite Element Analysis using the computer program MATLAB, which is very popular today in engineering and engineering education. The book contains a short tutorial on MATLAB as well as a systematic strategy for the treatment of finite element methods. Useful to both students and researchers in engineering, it provides various examples and exercises from mechanical, civil and aerospace engineering, as well as from materials science. The book especially stresses the interactive use of MATLAB, with each example solved in an interactive manner. The accompanying CD-ROM includes more than fifty MATLAB functions specifically written to be used with this book in the form of a MATLAB Finite Element Toolbox. An extensive solutions manual is provided as well, which includes detailed solutions to all the problems in the book for classroom use. This second edition includes a new brick (solid) element with eight nodes and a one-dimensional fluid flow element. A review of the applications of finite elements in various fields such as fluid flow, heat transfer, structural dynamics, electro-magnetics, is added as well.

Table of Contents

Introduction	p. 1
Steps of the Finite Element Method	p. 1
MATLAB Functions for Finite Element Analysis	p. 2
MATLAB Tutorial	p. 4
The Spring Element	p. 11
Basic Equations	p. 11
MATLAB Functions Used	p. 12
The Linear Bar Element	p. 27
Basic Equations	p. 27
MATLAB Functions Used	p. 28
The Quadratic Bar Element	p. 45
Basic Equations	p. 45
MATLAB Functions Used	p. 46
The Plane Truss Element	p. 61
Basic Equations	p. 61
MATLAB Functions Used	p. 62
The Space Truss Element	p. 91
Basic Equations	p. 91
MATLAB Functions Used	p. 92
The Beam Element	p. 109
Basic Equations	p. 109
MATLAB Functions Used	p. 110
The Plane Frame Element	p. 137
Basic Equations	p. 137
MATLAB Functions Used	p. 139
The Grid Element	p. 175
Basic Equations	p. 175
MATLAB Functions Used	p. 176
The Space Frame Element	p. 193
Basic Equations	p. 193
MATLAB Functions Used	p. 195
The Linear Triangular Element	p. 217
Basic Equations	p. 217
MATLAB Functions Used	p. 219
The Quadratic Triangular Element	p. 249
Basic Equations	p. 249
MATLAB Functions Used	p. 251
The Bilinear Quadrilateral Element	p. 275
Basic Equations	p. 275
MATLAB Functions Used	p. 278
The Quadratic Quadrilateral Element	p. 311
Basic Equations	p. 311
MATLAB Functions Used	p. 314
The Linear Tetrahedral (Solid) Element	p. 337
Basic Equations	p. 337
MATLAB Functions Used	p. 340
The Linear Brick (Solid) Element	p. 367
Basic Equations	p. 367
MATLAB Functions Used	p. 371
Other Elements	p. 397
Applications of Finite Elements in Other Areas	p. 397
Basic Equations of the Fluid Flow 1D Element	p. 398
MATLAB Functions Used in the Fluid Flow 1D Element	p. 400
References	p. 403
Answer to Problems	p. 405
Contents of the Accompanying CD-ROM	p. 425
Index	p. 427
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