MATLAB Guide to Finite Elements: An Interactive Approach

✍ Scribed by Peter I. Kattan PhD (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2008
• Tongue: English
• Leaves: 432
• Edition: 2
• Category: Library

✦ Synopsis

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. 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

Front Matter....Pages I-XII
Introduction....Pages 1-10
The Spring Element....Pages 11-26
The Linear Bar Element....Pages 27-43
The Quadratic Bar Element....Pages 45-60
The Plane Truss Element....Pages 61-89
The Space Truss Element....Pages 91-107
The Beam Element....Pages 109-135
The Plane Frame Element....Pages 137-174
The Grid Element....Pages 175-191
The Space Frame Element....Pages 193-216
The Linear Triangular Element....Pages 217-247
The Quadratic Triangular Element....Pages 249-273
The Bilinear Quadrilateral Element....Pages 275-310
The Quadratic Quadrilateral Element....Pages 311-336
The Linear Tetrahedral (Solid) Element....Pages 337-365
The Linear Brick (Solid) Element....Pages 367-396
Other Elements....Pages 397-401
Back Matter....Pages 403-429

✦ Subjects

Computational Intelligence;Continuum Mechanics and Mechanics of Materials;Mathematical Software;Numerical Analysis;Mechanics