Books in Numerical methods in engineering

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Poroelastic Structures

1st Edition
July 12, 2000
G. Cederbaum + 2 more
English
eBook
9 7 8 - 0 - 0 8 - 0 5 3 9 2 7 - 0

Poroelasticity is a continuum theory for the analysis of a porous media consisting of an elastic matrix containing interconnected fluid-saturated pores. In physical terms the theory postulates that when a porous material is subjected to stress, the resulting matrix deformation leads to volumetric changes in the pores. This book is devoted to the analysis of fluid-saturated poroelastic beams, columns and plates made of materials for which diffusion in the longitudinal direction(s) is viable, while in the perpendicular direction(s) the flow can be considered negligible because of the micro-geometry of the solid skeletal material. Many microstructures and fabrication schemes could be imagined, which would produce bulk materials with the postulated behavior. The book provides a methodology and a theoretical basis for investigating the mechanical behaviors of the structural elements made of such materials. It is recognized that the response of the poroelastic structural element to loading is sensitive to the properties of the fluid and to the diffusion boundaries, which can be easily altered in practice. Therefore, such structural elements and thus their features are potentially controllable. In other words, it could be possible to convert such elements into intelligent or smart structures. If this is so, it would be interesting that such structural elements could work as both sensors and actuators, e.g. the fluid can "feel" the change of the temperature by changing its viscosity and this results in a change of the behavior of the structure. The present book is the first of its kind; there does not exist in the professional literature any book which deals with this subject.Chapter 1 is a general introduction and overview. The governing equations for beams are presented in Chapter 2. Chapter 3 then presents analytical solutions for the quasi-static bending problem. Series solutions are found for normal loading with various mechanical and diffusion boundary conditions. The finite element method is developed and employed for the quasi-static beams and columns with small deflections in Chapter 4. In Chapter 5 solutions are found for free and forced vibrations of poroelastic beams. Chapter 6 deals with large deflections of beams. The stability of poroelastic columns is investigated in Chapter 7. Three problems are considered: buckling, post-buckling, and dynamic stability. Formulations are found in Chapter 8 for fluid-saturated poroelastic plates consisting of a material, for which the diffusion is possible in the in-plane directions only, both for bending and for in-plane loading. This book attempts to constitute a reasonably self-contained presentation of a wide spectrum of problems related to the analysis of the type of poroelastic structure considered.

The Mathematics of Finite Elements and Applications X (MAFELAP 1999)

1st Edition
June 26, 2000
J.R. Whiteman
English
Hardback
9 7 8 - 0 - 0 8 - 0 4 3 5 6 8 - 8
eBook
9 7 8 - 0 - 0 8 - 0 5 4 8 6 8 - 5

The tenth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1999, was held at Brunel University during the period 22-25 June, 1999. This book seeks to highlight certain aspects of the state-of-the-art theory and applications of finite element methods of that time.This latest conference, in the MAFELAP series, followed the well established MAFELAP pattern of bringing together mathematicians, engineers and others interested in the field to discuss finite element techniques.In the MAFELAP context finite elements have always been interpreted in a broad and inclusive manner, including techniques such as finite difference, finite volume and boundary element methods as well as actual finite element methods. Twenty-six papers were carefully selected for this book out of the 180 presentations made at the conference, and all of these reflect this style and approach to finite elements. The increasing importance of modelling, in addition to numerical discretization, error estimation and adaptivity was also studied in MAFELAP 1999.

Theory of Shells

1st Edition
Volume 3
May 11, 2000
Philippe G. Ciarlet
English
Hardback
9 7 8 - 0 - 4 4 4 - 8 2 8 9 1 - 0
eBook
9 7 8 - 0 - 0 8 - 0 5 1 1 2 3 - 8

The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter.

Generalized Multipole Techniques for Electromagnetic and Light Scattering

1st Edition
Volume 4
December 1, 1999
T. Wriedt
English
eBook
9 7 8 - 0 - 0 8 - 0 5 3 2 3 7 - 0

This book is an edited volume of nine papers covering the different variants of the generalized multipole techniques (GMT). The papers were presented at the recent 3rd Workshop on Electromagnetics and Light Scattering - Theory and Applications, which focused on current GMT methods. These include the multiple multipole method (MMP), the discrete sources method (DSM), Yasuura's method, method of auxiliary sources and null-field method with discrete sources. Each paper presents a full theoretical description as well as some applications of the method in electrical engineering and optics. It also includes both 2D and 3D methods and other applications developed in the former Soviet Union and Japan.

EPMESC VII

1st Edition
July 1, 1999
E. Arantes e Oliveira + 2 more
English
eBook
9 7 8 - 0 - 0 8 - 0 9 8 3 7 5 - 2

The first EPMESC Conference took place in 1985. It was during the Conference, recognising the success it had been, that the promoters decided to organise other EPMESC conferences, giving birth to a new series of international meetings devoted to computational methods in engineering. The variety of subjects covered by the papers submitted to the 7th Conference demonstrates how much computational methods expanded and became richer in their applications to Science and Technology. New paradigms are being cultivated as non-numerical applications started to compete with the more traditional numerical ones. The scientific and technological communities to which the EPMESC Conferences used to be addressed themselves have changed.The two-volume Proceedings that we achieved to gather represent many of the interesting developments that are taking place, not only in the Asia Pacific Region, but also in some other scientifically advanced parts of the World, and cover a vast list of subjects grouped under the following headings: Applied Mathematics; Physics and Materials Science; Solid Mechanics; Finite Element and Boundary Element Methods; Structural Analysis; Structural Dynamics and Earthquake Engineering; Structural Engineering; Reinforced Concrete; Knowledge-Based Systems; Artificial Neural Networks and Genetic Algorithms; Computer-Aided Instruction; Computer-Aided Design and Computer-Aided Engineering; Geographic Information Systems; Environmental Applications; Road Engineering; Geotechnics; Soil Mechanics; Fluid Mechanics and Hydraulics.Two hundred and fifty one summaries were accepted, many of them with comments and restrictions, by the Programme Committee.From these, 153 papers resulted, many of them from Portuguese and Chinese origin, that were submitted to the revision of an international panel of referees from Australia, Belgium, Brazil, China, Italy, Macao, Portugal, Switzerland, United Kingdom and United States, to which we gladly acknowledge our gratitude and appreciation.

A Unified Approach to the Finite Element Method and Error Analysis Procedures

1st Edition
November 2, 1998
Julian A. T. Dow
English
eBook
9 7 8 - 0 - 0 8 - 0 5 4 3 4 2 - 0

A Unified Approach to the Finite Element Method and Error Analysis Procedures 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.

Advanced Applied Finite Element Methods

1st Edition
September 1, 1998
Carl T. F. Ross
English
eBook
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This book is aimed at senior undergraduates, graduates and engineers. It fills the gap between the numerous textbooks on traditional Applied Mechanics and postgraduate books on Finite Element Methods.

Computational Methods for Process Simulation

2nd Edition
November 20, 1997
W. Fred Ramirez
English
Hardback
9 7 8 - 0 - 7 5 0 6 - 3 5 4 1 - 7
eBook
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Process Modelling and simulation have proved to be extremely successful engineering tools for the design and optimisation of physical, chemical and biochemical processes. The use of simulation has expanded rapidly over the last two decades because of the availability of large high-speed computers and indeed has become even more widespread with the rise of the desk-top PC resources now available to nearly every engineer and student. In the chemical industry large, realistic non-linear problems are routinely solved with the aid of computer simulation. This has a number of benefits, including easy assessment of the economic desirability of a project, convenient investigation of the effects of changes to system variables, and finally the introduction of mathematical rigour into the design process and inherent assumptions that may not have been there before. Computational Methods for Process Simulation develops the methods needed for the simulation of real processes to be found in the process industries. It also stresses the engineering fundamentals used in developing process models. Steady state and dynamic systems are considered, for both spatially lumped and spatially distributed problems. It develops analytical and numerical computational techniques for algebraic, ordinary and partial differential equations, and makes use of computer software routines that are widely available. Dedicated software examples are available via the internet.

The Theory of Singular Perturbations

1st Edition
Volume 42
November 8, 1996
E.M. de Jager + 1 more
English
eBook
9 7 8 - 0 - 0 8 - 0 5 4 2 7 5 - 1

The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed.The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Gåding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises.

Finite Element Techniques in Structural Mechanics

1st Edition
January 1, 1996
Carl T. F. Ross
English
eBook
9 7 8 - 0 - 8 5 7 0 9 - 9 8 4 - 6

This advanced undergraduate and postgraduate text serves for courses in many engineering disciplines and professionals in industrial or academic research. It is written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study. Also useful for industrial engineers as a reference manual.

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