Concepts and Applications of Finite Element Analysis, 4th Edition

Book Description

This book has been thoroughly revised and updated to reflect developments since the third edition, with an emphasis on structural mechanics. Coverage is up-to-date without making the treatment highly specialized and mathematically difficult. Basic theory is clearly explained to the reader, while advanced techniques are left to thousands of references available, which are cited in the text.

Customer Reviews:

Great.......2007-08-26

It explains the the hard concepts in a nice way. But the material covers the great extent of FEA.

It is good for reference.

Murat Surucu

Another student prospective.......2007-05-30

The comments left are interesting in that all the people teaching from it find it useful, and all the students find it frustrating...there is a trend here!

I agree that the explanations are great in detail and the content practical, but at a graduate level with minimal support from the professor and no TA available, not having examples or solutions (to the odds or evens at the very least) is infuriating. After spending close to $100 for this text, I had to go out to buy another with some problems to make it through my course. Two stars for readability, will pile the other three onto the review for my other text.

If a professor recommends this book for his course, my suggestion would be to go talk to some fellow students who have already taken the course to be sure you know what you are signing up for!

A collection of papers at best.......2006-06-16

I am a graduate student of solid mechanics and I have read quite a few books on FEA. Of all the textbooks I have read-this is clearly the worst. The authors don't spend any time to make the material coherent and organized. They seem to have published this book just for the sake of establishing their names in the field. It is basically a collection of research papers on the subject. The worst part of the book is that the authors use excessive verbiage to describe extremely inportant concepts with little or no mathematics. This leaves the readers confused and disoriented. This book is not for those looking for an introductory text and is useless to even those experienced in the field. Avoid this book.

Not an undergraduage text.......2006-05-16

This book was used to 'introduce' us to finite element analysis. To say the least, the book is very hard to follow. For an undergraduate text book, I don't recommend it at all. The problems are very difficult and assume you have a lot of knowledge on other subjects. Also there are close to no examples. This would be a great book for graduate classes or those seriously interested in the theory, but not for the intro introductory class, unless you have a super great professor. Because of my bad experience with the book, and how I found it difficult to grasp, I give it only two stars.

In need of a solutions manual.......2004-10-12

The material in this book is great, but I think the problems are difficult. I am in need of a solutions manual. Please contact me at jjoseph86@hotmail.com if you know where I can get one.

Finite Element Method And Error Analysis Procedures: A Unified Approach

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Finite Element Method And Error Analysis Procedures: A Unified Approach
John O. Dow
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0122214404

Book Description

This book provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization errors in the overall model; 3) point-wise errors in the final stress or strain results.
Thoroughly class tested with undergraduate and graduate students. A Unified Approach to the Finite Element Method and Error Analysis Procedures is sure to become an essential resource for students as well as practicing engineers and researchers.

* New, simpler element formulation techniques, model-independent results, and error measures
* New polynomial-based methods for identifying critical points
* New procedures for evaluating sheer/strain accuracy
* Accessible to undergraduates, insightful to researchers, and useful to practitioners
* Taylor series (polynomial) based
* Intuitive elemental and point-wise error measures
* Essential background information provided in 12 appendices

Finite Element Methods for Maxwell's Equations (Numerical Analysis and Scientific Computation Series)

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Finite Element Methods for Maxwell's Equations (Numerical Analysis and Scientific Computation Series)
Peter Monk
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover

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The Finite Element Method in Electromagnetics
Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences)

ASIN: 0198508883

Book Description

Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell's equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book finishes with a short introduction to inverse problems in electromagnetism.

Moving Finite Elements (Numerical Mathematics and Scientific Computation)

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Moving Finite Elements (Numerical Mathematics and Scientific Computation)
M. J. Baines
Manufacturer: Oxford University Press, USA
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Binding: Hardcover

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ASIN: 0198534671

Book Description

This book is mainly concerned with finite element methods for time-dependent partial differential equations when the grids are allowed to move in time, but also describes grid generation techniques which include grid adjustment. The mechanism for grid movement derives from a generalization of the residual minimization technique which is familiar from the Galerkin finite element method. The book brings together most of the work done over the last decade or so which has been stimulated by Miller's original idea, and discusses the interrelationships between the techniques of the method and the established ideas of the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. The book highlights the issues involved and should provide the reader with a clear view of the current state of the subject and prompt further research.

Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics (Numerical Mathematics and Scientific Computation)

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Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics (Numerical Mathematics and Scientific Computation)
Howard C. Elman , David J. Silvester , and Andrew J. Wathen
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover

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Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations
A Multigrid Tutorial: Society for Industrial & Applied Mathematics
Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis

ASIN: 0198528671

Book Description

The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The material is organized into four groups of two chapters each, covering the Poisson equation (chapters 1 & 2); the convection-diffucion equation
(chapters 3 & 4); the Stokes equations (chapters 5 & 6); and the Navier-Stokes equations (chapters 7 & 8). These equations represent important models within the domain of computational fluid dynamics, but they also arise in many other settings. For each PDE model, there is a chapter concerned with
finite element discretization. For each problem and associated solvers there is a description of how to compute along with theoretical analysis which guides the choice of approaches. Illustrative numerical results occur throughout the book, which have been computed with the freely downloadable
IFISS software. All numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the 'computational laboratory' provided by the software. This book provides an excellent introduction to finite elements, iterative linear solvers
and scientific computing aimed at graduates in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing. Including theoretical problems and practical exercises closely tied with freely downloadable MATLAB software, this book is an ideal teaching and learning
resource.

Advanced Topics in Finite Element Analysis of Structures: With Mathematica and MATLAB Computations

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Advanced Topics in Finite Element Analysis of Structures: With Mathematica and MATLAB Computations
M. Asghar Bhatti
Manufacturer: Wiley
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Binding: Hardcover

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Fundamental Finite Element Analysis and Applications: With Mathematica and MATLAB Computations
An Introduction to Nonlinear Finite Element Analysis
Classical and Computational Solid Mechanics (Advanced Series in Engineering Science)
The Finite Element Method Using MATLAB, Second Edition
MATLAB Guide to Finite Elements: An Interactive Approach

ASIN: 0471648078

Book Description

Starting from governing differential equations, a unique and consistently weighted residual approach is used to present advanced topics in finite element analysis of structures, such as mixed and hybrid formulations, material and geometric nonlinearities, and contact problems. This book features a hands-on approach to understanding advanced concepts of the finite element method (FEM) through integrated Mathematica and MATLAB® exercises.

Theoretical Numerical Analysis: A Functional Analysis Framework (Texts in Applied Mathematics)

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About Theoretical Numerical Analysis
by Kendall E. Atkinson
not so useful for much numerical analysis

Theoretical Numerical Analysis: A Functional Analysis Framework (Texts in Applied Mathematics)
Kendall Atkinson , and Weimin Han
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Similar Items:

Foundations of Modern Analysis
Applied Functional Analysis
Introductory Functional Analysis : With Applications to Boundary Value Problems and Finite Elements (Texts in Applied Mathematics, Vol. 27)
Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics
Functional Analysis (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

Accessories:

Elementary Analysis
Metric Spaces (SPRINGER UNDERGRADUATE MATHEMATICS SERIES)
Mathematics and its History

ASIN: 0387258876

Book Description

This textbook covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis. For this second edition, a new chapter on Fourier analysis and wavelets and over 140 new exercises have been added, almost doubling the exercise amount from the last edition. Many sections from the first edition have been revised. Some of the other topics covered in this book are functional analysis and approximation theory, nonlinear analysis, Sobolev spaces, elliptic boundary value problems and variational inequalities.

Customer Reviews:

About Theoretical Numerical Analysis
by Kendall E. Atkinson.......2005-04-18

The book presents an abstract point of view of Numerical Analysis (as one can immediatly see by the title!). It is written by a master in the topic, author of more than 70 publications at the higher levels, well known for his contributions in Integral and Partial Differential Equations.

If one is interested on the basic aspects of numerical analysis, I also suggest to consider his well known manual "Elementary Numerical Analysis".

The present book presents several aspects that are not covered by most of the manuals in Numerical Analysis and highly contributes to have a wider idea of convergence and stability of some well known methods.

not so useful for much numerical analysis .......2005-03-08

The emphasis on this book is on functional analysis, and secondarily numerical analysis. The former is certainly well done. But the problem is that if you are a computer scientist, say, and looking to this book to give a more rigorous understanding of numerical methods, this book might disappoint. The functional analysis requires a fairly strong background in pure maths. Candidly, the application of this to numerical methods may be too abstruse and not that understandable to you.

A typical use of numerical research is to improve the efficiency of an algorithm. This book might not be that useful in this regard. This is not meant to detract from the typical research level texts put out by Springer, of which this is one. Just that perhaps it could have been better titled.

The Finite Element Analysis of Shells: Fundamentals

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A thought-provoking treatise
finite element analysis of shells in depth
Useless for most people
An important reference for shell structure mechanics
An excellent book on Shells

The Finite Element Analysis of Shells: Fundamentals
Klaus-Jurgen Bathe , and Dominique Chapelle
Manufacturer: Springer-Verlag
ProductGroup: Book
Binding: Hardcover

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Similar Items:

The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
Finite Element Procedures
Programming the Finite Element Method
Schaum's Outline of Finite Element Analysis
Nonlinear Finite Elements Analysis for Continua And Structures

Accessories:

Random Number Generation and Monte Carlo Methods (Statistics in Practice)
Symbolic-Numeric Computation (Trends in Mathematics)
Numerical Mathematics (Texts in Applied Mathematics)

ASIN: 3540413391

Book Description

Shell structures are found abundantly in engineering designs and are routinely analyzed with finite element methods. The objective of this book is to present, in a unified manner, modern finite element procedures for general shell analysis. The first chapters introduce the basic concepts for the analysis of shells, explain the mathematical preliminaries, and discuss the mathematical models of plates and shells including their asymptotic properties. The following chapters deal with finite element discretization methods for plates and shells. At the end of the book, applications of these methods in modern engineering practice are described and an overview of nonlinear shell analysis is given.

Customer Reviews:

A thought-provoking treatise.......2004-09-08

It is an understatement to call this book excellent! Development of robust and reliable computational techniques for shell analysis continues to be a most challenging task. The level of profundity offered by this book on this traditional topic is truly astounding. Mathematical analysis has been wonderfully intertwined with engineering judgement. The presentation is brief and compact with an emphasis on mathematical rigor.

finite element analysis of shells in depth.......2003-12-17

This is the first (and only) book I have come across which gives a deep and comprehensive analysis of finite element methods for shell structures. The authors take a mathematical approach to the problem, and do a very nice job. Traditionally, finite element procedures for shells have been formulated intuitively hence resulting in mixed success. Mathematical analyses of finite element formulations give a deeper and meaningful insight into the underlying mathematical theory and the reasons why some formulations perform much better than others. This deeper mathematical understanding in turn gives better insight into the physical behaviour of shells as limiting cases are approached (i.e thin shells etc.). Research in finite element analysis, including shells, is very much alive and still has a lot of potential. This book is very valuable for people who want to dig further into mathematical aspects of finite element formulations, and are not just content with "coding" an existing formulation. This is not a "recipe" book, but a book which teaches you how to come up with new, mathematically consistent and meaningful formulations.

Useless for most people.......2003-10-02

The book is probably good for researchers. It is however not suitable for beginners or practitioners.

An important reference for shell structure mechanics.......2003-08-27

This book clearly explains shell structure mechanics from a mathematical and practical perspective. As a practicing engineer and finite element user, I found it extremely useful and easy to understand. This is also an invaluable reference for graduate students in applied mechanics. I think it will be a classic reference in that field.

An excellent book on Shells.......2003-08-26

This is an excellent book for anybody interested in the analysis of shells. It uniquely presents the physical and mathematical aspects of shell behavior, and their finite element analysis. I believe this book is a MUST for researchers and practioners.

Finite Element Methods with B-Splines (Frontiers in Applied Mathematics)

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Finite Element Methods with B-Splines (Frontiers in Applied Mathematics)
Klaus Höllig
Manufacturer: Society for Industrial Mathematics
ProductGroup: Book
Binding: Hardcover

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ASIN: 0898715334

Book Description

The finite element method (FEM) has become the most widely accepted general-purpose technique for numerical simulations in engineering and applied mathematics. Principal applications arise in continuum mechanics, fluid flow, thermodynamics, and field theory. In these areas, computational methods are essential and benefit strongly from the enormous advances in computer technology. B-splines play an important role in approximation and geometric modeling. They are used in data fitting, computer-aided design (CAD), automated manufacturing (CAM), and computer graphics. Finite Element Methods with B-Splines describes new weighted approximation techniques, combining the computational advantages of B-splines and standard finite elements. In particular, no grid generation is necessary, which eliminates a difficult and often time-consuming preprocessing step. The meshless methods are very efficient and yield highly accurate solutions with relatively few parameters. This is illustrated for typical boundary value problems in fluid flow, heat conduction, and elasticity.

Finite Element Analysis of Acoustic Scattering (Applied Mathematical Sciences)

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Finite Element Analysis of Acoustic Scattering (Applied Mathematical Sciences)
Frank Ihlenburg
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387983198

Book Description

This book is a report of a cognitive journey towards the reliable simulation of scattering problems using finite element methods. The pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forms the core of the book. The topics include a priori and a posteriori error estimation as well as the stabilized methods. The mathematical investigation of model problems is given in close connection with the physical problem of acoustic scattering and fluid-solid interaction. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations. The main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. The book also contains broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. Students and researchers in mathematics, physics and engineering, as well as scientists and computational engineers working on scattering problems will find this book of interest. The author has produced a self-contained and easily readable work containing numerous illustrations of the theory with numerical examples and computational results.

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