MATLAB Guide to Finite Elements: An Interactive Approach

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Springer Science & Business Media, 2003 - Computers - 385 pages
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This book 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.
 

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Contents

Introduction
1
12 MATLAB Functions for Finite Element Analysis
2
13 MATLAB Tutorial
4
The Spring Element
11
22 MATLAB Functions Used
12
The Linear Bar Element
27
32 MATLAB Functions Used
28
The Quadratic Bar Element
44
92 MATLAB Functions Used
171
The Space Frame Element
187
102 MATLAB Functions Used
189
The Linear Triangular Element
211
112 MATLAB Functions Used
213
The Quadratic Triangular Element
242
122 MATLAB Functions Used
244
The Bilinear Quadrilateral Element
267

42 MATLAB Functions Used
45
The Plane Truss Element
60
52 MATLAB Functions Used
61
The Space Truss Element
89
62 MATLAB Functions Used
90
The Beam Element
106
72 MATLAB Functions Used
107
The Plane Frame Element
133
82 MATLAB Functions Used
135
The Grid Element
170
132 MATLAB Functions Used
270
The Quadratic Quadrilateral Element
303
142 MATLAB Functions Used
306
The Linear Tetrahedral Solid Element
329
152 MATLAB Functions Used
332
References
359
Answers to Problems
361
Contents of the Accompanying CDROM
381
Index
383
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