Civil Engineering Association

by O. C. Zienkiewicz, R. L. Taylor, J.Z. Zhu

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.
The classic FEM text, written by the subject's leading authors
Enhancements include more worked examples and exercises, plus a companion website with a solutions manual and downloadable algorithms
With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems
Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations.
Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics.
* The classic introduction to the finite element method, by two of the subject's leading authors
* Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text
* Enhancements include more worked examples, exercises, plus a companion website with a worked solutions manual for tutors and downloadable algorithms

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Finite Element Method: Volume 1, 2,3
Publisher: Butterworth-Heinemann | ISBN: 0750650494 | edition 2000 | PDF | 712 pages | 52,9 mb


Vol. 1. The Finite Element Method - The Basis
Volume 1 is an essential text for people trying to acquaint themselves with the subject and requiring an up to date presentation of theory and possibilities. It deals strictly with linear problems and the matter presented allows engineers and scientists with different backgrounds to become acquainted with the subject. The mathematics is kept at a fairly simple level to cover a wide readership. The book should also be useful to students of mathematics albeit they might be used to a different notation than that used in this text.

The arrangement of Vol.1 differs some what from that of Vol.1 in the fourth edition. A rearrangement of text was made to include the general chapter dealing the concepts of mathematical formulations early in the book (Ch.3). This allows the reader to become acquainted rapidly with the mathematical background and where the finite element method fits into the general scheme of numerical approximation.

In addition several chapters dealing with dynamics and transient phenomena have been moved from Vol.2 to this volume. These have been updated and include various approximation procedures recently used (e.g. Discontinuous Galerkin).

Though many of the chapters have not been substantially altered, they have been updated to include most recent references and thinking. However many new ideas and subjects are presented in this volume. In particular the following developments should be noted.

(1) The recently developed procedures of recovery for increasing the accuracy of the results are presented. These lead naturally to the most efficient procedures of error estimation and adaptivity. The two chapters 14 and 15 present this subject in a thoroughly up to date manner and here all the recent procedures have been made available.

(2) The subject of mixed methods (Ch.11) has been elaborated further from the fourth edition and much attention has been given to recent developments of hybrid methods including even such methods as Discontinuous Galerkin method (Ch.13). Attention has been given to the so-called "enhanced strain" methods that today are widely used in various applications of solid mechanics.

(3) The subject of incompressible behaviour is given special attention and a whole chapter (Ch.12) is devoted to it. Here recent work on various procedures of stabilisation is presented in comparative manner and readers can acquaint themselves with the present day developments in this area. Thus chapters 11,12 and 13 have been very substantially rewritten.

(4) In the last decade, much progress has been achieved in the development of the so called meshless (element free methods) methods. Here so called partition of unity procedures have allowed a considerable expansion of FEM possibilities. Chapter 16 presents the present state of the art and here the reader will find many of the concepts that are today at the "sharp end" of research. These are given in an assessable manner that may guide the developments in the early part of the next millennium.

One important development that is included in the fifth edition is the omission of detailed program listings that have been characteristics of all previous editions. The reason for this is fairly rapid development of the computer software and the need for providing updates that can eliminate errors and show the most recent development. We present for each volume a full program list and computer procedures on this webpage.

Vol. 2. The Finite Element Method - Solid Mechanics
Volume 2 is partially rewritten and some new chapters particularly in the area of large deformation and strain are incorporated. In particular we start this volume with the description of non-linear methodologies of solution for the problem of non-linear material behaviour and introduce right in the beginning the concepts necessary for description of various constitutive laws ranging from viscoelasticity through plasticity to creep.

The chapters dealing with shell and plate formulation which were initially the subject of the finite element attack are brought up to date by recent developments in which so called linked interpolations are used. We mentioned those in the fourth edition but since its publication the development has been rapid and the elements presented here are probably among those which are the best. For this reason we eliminated some of the descriptive matter for the very simple elements previously used in the plate theory and concentrate attention on recent development of both thick and thin approximations for plates, shells etc.

A largely rewritten series of chapters deal with non-linear geometry, stability and buckling of structures as well as large deformation theory necessary for impact studies. Here a simple introduction to large deformation behaviour is given and the reader can thus avoid the complex introduction usually belonging to advanced texts of mechanics. Most of the presentation of this chapter and indeed others of this book uses indicial notation and the generalised notion of strain and stress. Several of the chapters in the new Vol.2 essentially repeat the topics previously dealt with in Vol.2 of the fourth edition that remain still valid today. These include such things as finite strip methods etc.



Vol. 2. The Finite Element Method - Solid Mechanics
Volume 2 is partially rewritten and some new chapters particularly in the area of large deformation and strain are incorporated. In particular we start this volume with the description of non-linear methodologies of solution for the problem of non-linear material behaviour and introduce right in the beginning the concepts necessary for description of various constitutive laws ranging from viscoelasticity through plasticity to creep.

The chapters dealing with shell and plate formulation which were initially the subject of the finite element attack are brought up to date by recent developments in which so called linked interpolations are used. We mentioned those in the fourth edition but since its publication the development has been rapid and the elements presented here are probably among those which are the best. For this reason we eliminated some of the descriptive matter for the very simple elements previously used in the plate theory and concentrate attention on recent development of both thick and thin approximations for plates, shells etc.

A largely rewritten series of chapters deal with non-linear geometry, stability and buckling of structures as well as large deformation theory necessary for impact studies. Here a simple introduction to large deformation behaviour is given and the reader can thus avoid the complex introduction usually belonging to advanced texts of mechanics. Most of the presentation of this chapter and indeed others of this book uses indicial notation and the generalised notion of strain and stress. Several of the chapters in the new Vol.2 essentially repeat the topics previously dealt with in Vol.2 of the fourth edition that remain still valid today. These include such things as finite strip methods etc.




Vol. 3. The Finite Element Method - Fluid Dynamics
This volume as the title indicates is directed entirely at those whose main interest is in the fluid mechanics area. Here however a very wide application field is covered ranging from incompressible slow viscous flow to high-speed supersonic flows. Such specialised applications as shallow water flow, ocean waves and metal or plastic forming are also included in this text as specific examples.

What is entirely novel in this text is the manner of presentation and the introduction of a unified algorithm, which is applicable to all the fields of study in the fluid mechanics area. This algorithm which has been developed only a few years ago has now superseded in view of the authors many older ones and provides a unique and simple approach to most problems. The new algorithm is based on the so-called Characteristic Galerkin method of dealing with convection dominated problems. Thus with suitable splitting the full fluid mechanics equations can be divided into two parts. The first of these dealing with a set of scalar transport is convection dominated and uses the Characteristic Galerkin process. The second presents a self-adjoint problem in terms of pressure for which Galerkin procedures can be directly applied. Although some of the concepts have been given in the fourth edition, most of the presentation is new and here very little remains from the previous edition. We believe Vol.3 is the one from which many can learn the basic concepts of computational fluid dynamics.

We introduce here methodologies capable of dealing with supersonic and hypersonic behaviours at the same time showing that the same formulation applies well to the study of shallow water tidal phenomena being able to predict such things as the `bore' that occurs in many highly tidal areas.

The new algorithm stabilises both the convective part of the equations and the incompressible phenomena.

Many new topics are included and in particular application to the study of wave resistance of ships and other free surface phenomena can now be modelled using the new algorithm fairly simply. Also in the same chapter, we deal with buoyancy phenomena by which various convection problems can be solved. These are of importance in heat transfer engineering as well as in environmental studies.

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Finite Element Method - Zienkiewicz and Taylor

The Finite Element Method for Fluid Dynamics, Sixth Edition By O. C. Zienkiewicz, R. L. Taylor, P. Nithiarasu
Publisher: Butterworth-Heinemann | 2005-12-22 | ISBN: 0750663227 | Pages: 400 | PDF | 23.06 MB

Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series.

‪The Finite Element Method Its Basis and Fundamentals‬

It is thirty-eight years since the The Finite Element Method in Structural and Continuum Mechanics was first published. This book, which was the first dealing with the finite element method, provided the basis from which many further developments occurred. The expanding research and field of application of finite elements led to the second edition in 1971, the third in 1977, the fourth as two volumes in 1989 and 1991 and the fifth as three volumes in 2000. The size of each of these editions expanded geometrically (from 272 pages in 1967 to the fifth edition of 1482 pages). This was necessary to do justice to a rapidly expanding field of professional application and research. Even so, much filtering of the contents was necessary to keep these editions within reasonable bounds.
In the present edition we have decided not to pursue the course of having three contiguous volumes but rather we treat the whole work as an assembly of three separate works, each one capable of being used without the others and each one appealing perhaps to a different audience. Though naturally we recommend the use of the whole ensemble to people wishing to devote much of their time and study to the finite element method.
In particular the first volume which was entitled The Finite Element Method: The Basis is now renamed The Finite Element Method: Its Basis and Fundamentals. This volume has been considerably reorganized from the previous one and is now, we believe, better suited for teaching fundamentals of the finite element method. The sequence of chapters has been somewhat altered and several examples of worked problems have been added to the text. A set of problems to be worked out by students has also been provided.
In addition to its previous content this book has been considerably enlarged by including more emphasis on use of higher order shape functions in formulation of problems and a new chapter devoted to the subject of automatic mesh generation. A beginner in the finite element field will find very rapidly that much of the work of solving problems consists of preparing a suitable mesh to deal with the whole problem and as the size of computers has seemed to increase without limits the size of problems capable of being dealt with is also increasing. Thus, meshes containing sometimes more than several million nodes have to be prepared with details of the material interfaces, boundaries and loads being well specified.
There are many books devoted exclusively to the subject of mesh generation but we feel that the essence of dealing with this difficult problem should be included here for those who wish to have a complete ‘encyclopedic’ knowledge of the subject.

Book Name: The Finite Element Method for Solid and Structural Mechanics
Size: 32, 764 Mb
eBoook Format: PDF
Authors: O. C. Zienkiewicz, R. L. Taylor
Publish by: Butterworth-Heinemann
Pages: 736
Year: 2006
ISBN: 0750663219

This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures - from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor.
New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling.
* Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor
* New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

The Finite Element Method Its Basis and Fundamentals

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