MATLAB Guide to Finite Elements - An Interactive Approach

later versions. In addition, the CD-ROM contains a complete solutions manual that includes detailed solutions to all the problems in the book. If the reader does not wish to consult these solutions, then a brief list of answers is provided in printed form at the end of the book. Iwouldliketothankmyfamilymembersfortheirhelpandcontinuedsupportwi- out which this book would not have been possible. I would also like to acknowledge the help of the editior at Springer-Verlag (Dr. Thomas Ditzinger) for his assistance in bringing this book out in its present form. Finally, I would like to thank my brother, Nicola, for preparing most of the line drawings in both editions. In this edition, I am providing two email addresses for my readers to contact me (pkattan@tedata. net. jo and pkattan@lsu. edu). The old email address that appeared in the ?rst edition was cancelled in 2004. December 2006 Peter I. Kattan PrefacetotheFirstEdition 3 This is a book for people who love ?nite elements and MATLAB . We will use the popular computer package MATLAB as a matrix calculator for doing ?nite element analysis. Problems will be solved mainly using MATLAB to carry out the tedious and lengthy matrix calculations in addition to some manual manipulations especially when applying the boundary conditions. In particular the steps of the ?nite element method are emphasized in this book. The reader will not ?nd ready-made MATLAB programsforuseasblackboxes. Insteadstep-by-stepsolutionsof?niteelementpr- lems are examined in detail using MATLAB.

List of contents

The Spring Element.- The Linear Bar Element.- The Quadratic Bar Element.- The Plane Truss Element.- The Space Truss Element.- The Beam Element.- The Plane Frame Element.- The Grid Element.- The Space Frame Element.- The Linear Triangular Element.- The Quadratic Triangular Element.- The Bilinear Quadrilateral Element.- The Quadratic Quadrilateral Element.- The Linear Tetrahedral (Solid) Element.- The Linear Brick (Solid) Element.- Other Elements.

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 students and researchers in engineering, it provides examples and exercises from mechanical, civil and aerospace engineering, as well as from materials science. The book stresses the interactive use of MATLAB. 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.

Additional text

From the reviews:"This book is written for people studying finite element analysis … . 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. … 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)

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From the reviews:

"This book is written for people studying finite element analysis ... . 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. ... 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)

Product details

• Authors: Peter I Kattan, Peter I. Kattan
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2007
• EAN: 9783540706977
• ISBN: 978-3-540-70697-7
• No. of pages: 429
• Dimensions: 155 mm x 35 mm x 242 mm
• Weight: 772 g
• Illustrations: XII, 429 p.
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Klassische Mechanik, Numerische Mathematik, engineering, Classical mechanics, Solid Mechanics, Mechanics, Mechanics of solids, Mechanics, Applied, Mathematical & statistical software, Numerical analysis, Computational Intelligence, Mathematical Software, Computer software, Mathematical and statistical software