Fundamentals Of The Finite Element Method


Fundamentals Of The Finite Element Method
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Fundamentals Of Finite Element Analysis


Fundamentals Of Finite Element Analysis
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Author : David V. Hutton
language : en
Publisher: McGraw-Hill Companies
Release Date : 2004

Fundamentals Of Finite Element Analysis written by David V. Hutton and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


This new text, intended for the senior undergraduate finite element course in civil or mechanical engineering departments, gives students a solid basis in the mechanical principles of the finite element method and provides a theoretical foundation for applying available software analysis packages and evaluating the results obtained. Dr. Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of a senior undergraduate engineering student. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of the FEM to nonstructural problems. The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples.



The Finite Element Method


The Finite Element Method
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Author : Zhu
language : en
Publisher: John Wiley & Sons
Release Date : 2018-03-20

The Finite Element Method written by Zhu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-20 with Mathematics categories.


A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics, fluid mechanics and heat transfer, appealing to a wide range of engineering disciplines. Written by a renowned author and academician with the Chinese Academy of Engineering, The Finite Element Method would appeal to researchers looking to understand how the fundamentals of the FEM can be applied in other disciplines. Researchers and graduate students studying hydraulic, mechanical and civil engineering will find it a practical reference text.



Fundamentals Of The Finite Element Method


Fundamentals Of The Finite Element Method
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Author : Hartley Grandin
language : en
Publisher:
Release Date : 1991

Fundamentals Of The Finite Element Method written by Hartley Grandin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Finite element method categories.




Fundamentals Of The Finite Element Method For Heat And Fluid Flow


Fundamentals Of The Finite Element Method For Heat And Fluid Flow
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Author : Roland W. Lewis
language : en
Publisher: John Wiley and Sons
Release Date : 2008-02-07

Fundamentals Of The Finite Element Method For Heat And Fluid Flow written by Roland W. Lewis and has been published by John Wiley and Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-07 with Science categories.


Heat transfer is the area of engineering science which describes the energy transport between material bodies due to a difference in temperature. The three different modes of heat transport are conduction, convection and radiation. In most problems, these three modes exist simultaneously. However, the significance of these modes depends on the problems studied and often, insignificant modes are neglected. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems. From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Problems with slow fluid motion and heat transfer can be difficult problems to handle. Therefore, the complexity of combined fluid flow and heat transfer problems should not be underestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals of how to use the Finite Element Method to solve heat transfer and fluid dynamics problems Explains how to solve various heat transfer problems with different types of boundary conditions Uses recent computational methods and codes to handle complex fluid motion and heat transfer problems Includes a large number of examples and exercises on heat transfer problems In an era of parallel computing, computational efficiency and easy to handle codes play a major part. Bearing all these points in mind, the topics covered on combined flow and heat transfer in this book will be an asset for practising engineers and postgraduate students. Other topics of interest for the heat transfer community, such as heat exchangers and radiation heat transfer, are also included.



Fundamentals Of The Finite Element Method For Heat And Mass Transfer


Fundamentals Of The Finite Element Method For Heat And Mass Transfer
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Author : Perumal Nithiarasu
language : en
Publisher: John Wiley & Sons
Release Date : 2016-01-21

Fundamentals Of The Finite Element Method For Heat And Mass Transfer written by Perumal Nithiarasu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-21 with Science categories.


Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer. • Addresses fundamentals, applications and computer implementation • Educational computer codes are freely available to download, modify and use • Includes a large number of worked examples and exercises • Fills the gap between learning and research



The Finite Element Method


The Finite Element Method
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Author : Zhangxin Chen
language : en
Publisher: World Scientific
Release Date : 2011

The Finite Element Method written by Zhangxin Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Technology & Engineering categories.


A fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.



Fundamentals Of The Finite Element Method


Fundamentals Of The Finite Element Method
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Author : Hartley Grandin
language : en
Publisher:
Release Date : 1986

Fundamentals Of The Finite Element Method written by Hartley Grandin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Finite element method categories.




The Finite Element Method Its Basis And Fundamentals


The Finite Element Method Its Basis And Fundamentals
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Author : Olek C Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-05-26

The Finite Element Method Its Basis And Fundamentals written by Olek C Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-26 with Technology & Engineering categories.


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 • 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



The Finite Element Method


The Finite Element Method
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Author : Douglas H. Norrie
language : en
Publisher: Academic Press
Release Date : 2014-05-10

The Finite Element Method written by Douglas H. Norrie and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Technology & Engineering categories.


The Finite Element Method: Fundamentals and Applications demonstrates the generality of the finite element method by providing a unified treatment of fundamentals and a broad coverage of applications. Topics covered include field problems and their approximate solutions; the variational method based on the Hilbert space; and the Ritz finite element method. Finite element applications in solid and structural mechanics are also discussed. Comprised of 16 chapters, this book begins with an introduction to the formulation and classification of physical problems, followed by a review of field or continuum problems and their approximate solutions by the method of trial functions. It is shown that the finite element method is a subclass of the method of trial functions and that a finite element formulation can, in principle, be developed for most trial function procedures. Variational and residual trial function methods are considered in some detail and their convergence is examined. After discussing the calculus of variations, both in classical and Hilbert space form, the fundamentals of the finite element method are analyzed. The variational approach is illustrated by outlining the Ritz finite element method. The application of the finite element method to solid and structural mechanics is also considered. This monograph will appeal to undergraduate and graduate students, engineers, scientists, and applied mathematicians.



Basic Principles Of The Finite Element Method


Basic Principles Of The Finite Element Method
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Author : K. M. Entwistle
language : en
Publisher: CRC Press
Release Date : 2001

Basic Principles Of The Finite Element Method written by K. M. Entwistle and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


Provides an introductory text which lays out the basic theory of the finite element method in a form that will be comprehensible to engineering and materials science students Although this book was written with materials scientists in mind, it will prove useful to all those interested in learning the fundamentals of the finite element method. The method is now widely used in research in materials science and technology. For example, it is the basis for the determination of the stress distribution in loaded specimens used in deformation and fracture studies. It is used to predict the mechanical behaviour of composite and of cellular solids and it is used to analyse materials processing of metals and polymers. Materials science researchers use one of the many available commercial finite element packages to model problems in these areas. These materials scientists and technologists are not always well informed about the principles of the analytical methods that these packages use. One reason for this is that they find the existing texts difficult to read. There is an extensive list of finite element books written mostly for engineers or mathematicians.In them the authors make assumptions that the reader has a facility with matrix algebra, has a grounding in applied mechanics and has an awareness of energy principles that do not feature prominently in undergraduate materials science courses and, in consequence, are rarely the stock in trade of materials science researchers or technologists. The objective of this book is to provide an introductory text which lays out the basic theory of the finite element method in a form that will be comprehensible to materials scientists. It presents the basic ideas in a sequential and measured fashion, avoiding the use of specialist vocabulary that is not clearly defined. The basic principles are illustrated by a diversity of examples which serve to reinforce the particular aspects of the theory, and there are three finite element analyses which are presented in extenso with the detailed mathematics exposed. By this means some of the mystery that can envelop commercial finite element packages is penetrated. Such is the extensive scale of finite element knowledge that any text of this introductory character must be selective in its choice of material.The criterion for the selection of topics has been guided by the wish to bring the readers to the point at the end of the book where they can develop their understanding further by reading the existing literature, in which there is a number of rigorous and scholarly texts with a wealth of detail on the move advanced aspects of the theory. No list of recommended texts is included. The choice of texts is a matter of personal choice. The most fruitful way forward is to browse the library shelves or the bookshop to seek a text that addresses the area in which enlightenment is sought in a way which accords with the readers current knowledge. The text deliberately used the second person plural in order to emphasise the intention that the treatment of the subject should constitute an (inevitably) one-sided tutorial with the reader. The cover diagram shows the stress contours round the hole of a loaded plate using quadrilateral elements. It is in fact a pictorial representation of the solution, part of which is quoted at the end of CH.1.