Finite Element Method: Volume 1
- 5th Edition - August 25, 2000
- Imprint: Butterworth-Heinemann
- Authors: O. C. Zienkiewicz, R. L. Taylor, J.Z. Zhu
- Language: English
- Hardback ISBN:9 7 8 - 0 - 7 5 0 6 - 5 0 4 9 - 6
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 2 3 6 7 - 5
In the years since the fourth edition of this seminal work was published, active research has further developed the Finite Element Method into the pre-eminent tool for the… Read more
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Request a sales quoteIn the years since the fourth edition of this seminal work was published, active research has further developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume 1: The Basis is intended as a broad overview of the Finite Element Method. Aimed at undergraduates, postgraduates and professional engineers, it provides a complete introduction to the method.
Volume 2 and Volume 3 of the Finite Element Method cover non-linear solid and structural mechanics and fluid dynamics respectively. Both are essential reading for postgraduate students and professional engineers working in these disciplines.
Volume 2 and Volume 3 of the Finite Element Method cover non-linear solid and structural mechanics and fluid dynamics respectively. Both are essential reading for postgraduate students and professional engineers working in these disciplines.
New material on recovery, accuracy, error estimates and adaptivity.Increased coverage of mixed and hybrid methods including the Discontinuous Galerkin and Enhanced Strain Methods.Expanded chapter on incompressible behaviour and stabilization procedures.
Undergraduate, postgraduate and professional civil, mechanical, aeronautical, automotive and marine engineers and material scientists.
Some preliminaries: The standard discrete system * A direct approach to problems in elasticity * Generalization of the finite element concepts - Galerkin-weighted residual and variational approaches * Plane stress and plane strain * Axisymmetric stress analysis * Three-dimensional stress analysis * Steady-state field problems - heat conduction, electric and magnetic potential, fluid flow etc * 'Standard' and 'hierarchical' element shape functions: some general familiarities of C0 continuity * Mapped elements and numerical integration - 'infinite' and 'singularity' elements * The patch test, reduced integration and non-conforming elements * Mixed formulation and constraints - complete field methods * Incompressible problems, mixed methods and other procedures of solution * Mixed formulation and constraints - incomplete (hybrid) field methods, boundary * Trefftz methods * Errors, recovery processes and error estimates * Adaptive finite element refinement * The time dimension - semi-discretization of field and dynamic problems and analytical solution procedures * The time dimension - discrete approximation in time * Coupled systems * Computer procedures for finite element analysis * Appendices.
- Edition: 5
- Published: August 25, 2000
- Imprint: Butterworth-Heinemann
- No. of pages: 689
- Language: English
- Hardback ISBN: 9780750650496
- eBook ISBN: 9780080523675
OZ
O. C. Zienkiewicz
Professor O.C. Zienkiewicz, CBE, FRS, FREng died on 2 January 2009. Prior to his death he was Professor Emeritus at the Civil and Computational Engineering Centre, University of Wales Swansea and previously was Director of the Institute for Numerical Methods in Engineering at the University of Wales Swansea, UK. He also held the UNESCO Chair of Numerical Methods in Engineering at the Technical University of Catalunya, Barcelona, Spain. He was the head of the Civil Engineering Department at the University of Wales Swansea between 1961 and 1989. During this period he established that department as one of the primary centres of finite element research. In 1968 he became the Founder Editor of the International Journal for Numerical Methods in Engineering which still remains today the major journal in this field. The recipient of 27 honorary degrees and many medals, Professor Zienkiewicz was a member of five academies – an honour he received for his many contributions to the fundamental developments of the finite element method. In 1978, he became a Fellow of the Royal Society and the Royal Academy of Engineering. This was followed by his election as a foreign member to the US National Academy of Engineering (1981), the Polish Academy of Science (1985), the Chinese Academy of Sciences (1998), and the National Academy of Science, Italy (Academia dei Lincei) (1999). He published the first edition of this book in 1967 and it remained the only book on the subject until 1971.
Affiliations and expertise
Swansea University, Swansea, WalesRT
R. L. Taylor
Professor R.L. Taylor has more than 60 years of experience in the modelling and simulation of structures and solid continua including eighteen years in industry. He is Professor of the Graduate School and the Emeritus T.Y. and Margaret Lin Professor of Engineering at the University of California, Berkeley and also Corporate Fellow at Dassault Systèmes Americas Corp. in Johnston, Rhode Island. In 1991 he was elected to membership in the US National Academy of Engineering in recognition of his educational and research contributions to the field of computational mechanics. Professor Taylor is a Fellow of the US Association for Computational Mechanics – USACM (1996) and a Fellow of the International Association of Computational Mechanics – IACM (1998). He has received numerous awards including the Berkeley Citation, the highest honour awarded by the University of California, Berkeley, the USACM John von Neumann Medal, the IACM Gauss–Newton Congress Medal and a Dr.-Ingenieur ehrenhalber awarded by the Technical University of Hannover, Germany. Professor Taylor has written several computer programs for finite element analysis of structural and non-structural systems, one of which, FEAP, is used world-wide in education and research environments. A personal version, FEAPpv, available on GitHub, is incorporated into this book.
Affiliations and expertise
Emeritus Professor of Engineering, University of California, Berkeley, USAJZ
J.Z. Zhu
J. Z. Zhu is a Senior Scientist at ProCAST, ESI Group, USA.
Affiliations and expertise
Senior Scientist at ProCast Inc., ESI-Group North America, USA