Programming the Finite Element Method / Edition 5

by I. M. Smith, D. V. Griffiths, L. Margetts

Overview

Many students, engineers, scientists and researchers have benefited from the practical, programming-oriented style of the previous editions of Programming the Finite Element Method, learning how to develop computer programs to solve specific engineering problems using the finite element method.

This new fifth edition offers timely revisions that include programs and subroutine libraries fully updated to Fortran 2003, which are freely available online, and provides updated material on advances in parallel computing, thermal stress analysis, plasticity return algorithms, convection boundary conditions, and interfaces to third party tools such as ParaView, METIS and ARPACK. As in the previous editions, a wide variety of problem solving capabilities are presented including structural analysis, elasticity and plasticity, construction processes in geomechanics, uncoupled and coupled steady and transient fluid flow and linear and nonlinear solid dynamics.

Key features:

• Updated to take into account advances in parallel computing as well as new material on thermal stress analysis
• Programs use an updated version of Fortran 2003
• Includes exercises for students
• Accompanied by website hosting software

Programming the Finite Element Method, Fifth Edition is an ideal textbook for undergraduate and postgraduate students in civil and mechanical engineering, applied mathematics and numerical analysis, and is also a comprehensive reference for researchers and practitioners.

Further information and source codes described in this text can be accessed at the following web sites:

• www.inside.mines.edu/~vgriffit/PFEM5 for the serial programs from Chapters 4-11
• www.parafem.org.uk for the parallel programs from Chapter 12

Product Details

ISBN-13:	9781119973348
Publisher:	Wiley
Publication date:	11/11/2013
Edition description:	5th ed.
Pages:	688
Product dimensions:	6.90(w) x 9.70(h) x 1.50(d)

About the Author

Ian M. Smith and Lee Margetts, University of Manchester, UK and D. V. Griffiths, Colorado School of Mines, USA
Professor Ian Smith is Professor Emeritus at the University of Manchester. He is a Fellow of Royal Academy of Engineering and has 200 published research papers. He has authored 5 books, the latest Boundary Element Method with Programming (Springer 2008).

D.V Griffiths is Professor of Civil Engineering, Division of Engineering at the Colorado School of Mines. His research focuses on oil resource geomechanics, probabilistic geotechnics, soil mechanics and foundation engineering, finite element software development.

Dr Lee Margetts is Head of Synthetic Environments at the University of Manchester Aerospace Research Institute. Dr Margetts' main areas of expertise are in structural mechanics, geotechnical engineering, high performance computing and tomographic imaging. His main research activities concern investigating how real materials behave (both organic and inorganic) and how this can be simulated using computers.

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Table of Contents

Preface to Fifth Edition xv

Acknowledgements xvii

1 Preliminaries: Computer Strategies 1

2 Spatial Discretisation by Finite Elements 25

3 Programming Finite Element Computations 59

4 Static Equilibrium of Structures 115

5 Static Equilibrium of Linear Elastic Solids 169

6 Material Non-linearity 233

7 Steady State Flow 333

8 Transient Problems: First Order (Uncoupled) 369

9 Coupled Problems 423

10 Eigenvalue Problems 461

11 Forced Vibrations 483

12 Parallel Processing of Finite Element Analyses 523

Appendix A Equivalent Nodal Loads 605

Appendix B Shape Functions and Element Node Numbering 611

Appendix C Plastic Stress-Strain Matrices and Plastic Potential Derivatives 619

Appendix D main Library Subprograms 623

Appendix E geom Library Subroutines 635

Appendix F Parallel Library Subroutines 639

Appendix G External Subprograms 645

Author Index 649

Subject Index 653

Editorial Reviews

Intended to help readers assemble computer programs to solve particular engineering problems by using building blocks specifically designed for computations via the finite element technique. Topics: spatial discretization by finite elements, programming finite element computations, static equilibrium of structures and of elastic solids, material nonlinearity, steady state flow, uncoupled and coupled transient problems, eigenvalue problems, and forced vibrations. Several appendices supply the building block subroutines necessary to build the programs described in the book, as well as information on nodal loads, geometry subroutines, and plastic stress-strain matrices and plastic potential. Annotation c. by Book News, Inc., Portland, Or.

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