A First Course in Finite Elements

Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student. This authoritative text on Finite Elements:* Adopts a generic approach to the subject, and is not application specific* In conjunction with a web-based chapter, it integrates code development, theory, and application in one book* Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources* Contains a comprehensive set of homework problems at the end of each chapter* Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study.* Accompanied by a book companion website housing supplementary material that can be found at http://www.wileyeurope.com/college/Fish A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study.

ISBN 0470035803   Volumes 1 ISBN13 9780470035801 (What's this?)   Weight (grammes) 623 Publisher John Wiley and Sons Ltd   Published in Chichester Imprint John Wiley & Sons Ltd   Previous ISBN 9780470510858 Format Paperback   Height (mm) 244 Publication date 13 Apr 2007   Width (mm) 163 Library of Congress T   Spine width (mm) 20 DEWEY 620.00151825   Academic level Professional / Scholarly DEWEY edition DC22   Alternative ISBN 9780470510858 Pages 336

1		Introduction		1
2		Direct approach for discrete systems		11
3		Strong and weak forms for one-dimensional problems		41
4		Approximation of trial solutions, weight functions and Gauss quadrature for one-dimensional problems		77
5		Finite element formulation for one-dimensional problems		93
6		Strong and weak forms for multidimensional scalar field problems		131
7		Approximations of trial solutions, weight functions and Gauss quadrature for multidimensional problems		151
8		Finite element formulation for multidimensional scalar field problems		189
9		Finite element formulation for vector field problems - linear elasticity		215
10		Finite element formulation for beams		249
11		Commercial finite element program ABAQUS tutorials		275
App. A.1		Rotation of coordinate system in three dimensions
App. A.2		Scalar product theorem
App. A.3		Taylor's formula with remainder and the mean value theorem
App. A.4		Green's theorem
App. A.5		Point force (source)
App. A.6		Static condensation
App. A.7		Solution methods

"Recommended for upper division undergraduates and above." (CHOICE, February 2008)

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