The Boundary Integral Equatio Method In Axisymmetric Stress Analysis Problems
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The Boundary Integral Equation Method In Axisymmetric Stress Analysis Problems
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Author : A. A. Bakr
language : en
Publisher: Springer Verlag
Release Date : 1986
The Boundary Integral Equation Method In Axisymmetric Stress Analysis Problems written by A. A. Bakr and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Technology & Engineering categories.
The Boundary Integral Equatio Method In Axisymmetric Stress Analysis Problems
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Author : Adib A. Bakr
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
The Boundary Integral Equatio Method In Axisymmetric Stress Analysis Problems written by Adib A. Bakr and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Science categories.
The Boundary Integral Equation (BIE) or the Boundary Element Method is now well established as an efficient and accurate numerical technique for engineering problems. This book presents the application of this technique to axisymmetric engineering problems, where the geometry and applied loads are symmetrical about an axis of rotation. Emphasis is placed on using isoparametric quadratic elements which exhibit excellent modelling capabilities. Efficient numerical integration schemes are also presented in detail. Unlike the Finite Element Method (FEM), the BIE adaptation to axisymmetric problems is not a straightforward modification of the two or three-dimensional formulations. Two approaches can be used; either a purely axisymmetric approach based on assuming a ring of load, or, alternatively, integrating the three-dimensional fundamental solution of a point load around the axis of rotational symmetry. Throughout this ~ook, both approaches are used and are shown to arrive at identi cal solutions. The book starts with axisymmetric potential problems and extends the formulation to elasticity, thermoelasticity, centrifugal and fracture mechanics problems. The accuracy of the formulation is demonstrated by solving several practical engineering problems and comparing the BIE solution to analytical or other numerical methods such as the FEM. This book provides a foundation for further research into axisymmetric prob lems, such as elastoplasticity, contact, time-dependent and creep prob lems.
The Boundary Integral Equatio Method In Axisymmetric Stress Analysis Problems
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Author : Adib A. Bakr
language : en
Publisher: Springer
Release Date : 2011-12-21
The Boundary Integral Equatio Method In Axisymmetric Stress Analysis Problems written by Adib A. Bakr and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-21 with Science categories.
The Boundary Integral Equation (BIE) or the Boundary Element Method is now well established as an efficient and accurate numerical technique for engineering problems. This book presents the application of this technique to axisymmetric engineering problems, where the geometry and applied loads are symmetrical about an axis of rotation. Emphasis is placed on using isoparametric quadratic elements which exhibit excellent modelling capabilities. Efficient numerical integration schemes are also presented in detail. Unlike the Finite Element Method (FEM), the BIE adaptation to axisymmetric problems is not a straightforward modification of the two or three-dimensional formulations. Two approaches can be used; either a purely axisymmetric approach based on assuming a ring of load, or, alternatively, integrating the three-dimensional fundamental solution of a point load around the axis of rotational symmetry. Throughout this ~ook, both approaches are used and are shown to arrive at identi cal solutions. The book starts with axisymmetric potential problems and extends the formulation to elasticity, thermoelasticity, centrifugal and fracture mechanics problems. The accuracy of the formulation is demonstrated by solving several practical engineering problems and comparing the BIE solution to analytical or other numerical methods such as the FEM. This book provides a foundation for further research into axisymmetric prob lems, such as elastoplasticity, contact, time-dependent and creep prob lems.
Boundary Integral And Singularity Methods For Linearized Viscous Flow
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Author : C. Pozrikidis
language : en
Publisher: Cambridge University Press
Release Date : 1992-02-28
Boundary Integral And Singularity Methods For Linearized Viscous Flow written by C. Pozrikidis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-28 with Mathematics categories.
In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
Symmetric Galerkin Boundary Element Method
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Author : Alok Sutradhar
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-26
Symmetric Galerkin Boundary Element Method written by Alok Sutradhar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-26 with Technology & Engineering categories.
Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals. FEATURES • Written in a form suitable for a graduate level textbook as well as a self-learning tutorial in the field. • Covers applications in two-dimensional and three-dimensional problems of potential theory and elasticity. Additional basic topics involve axisymmetry, multi-zone and interface formulations. More advanced topics include fluid flow (wave breaking over a sloping beach), non-homogeneous media, functionally graded materials (FGMs), anisotropic elasticity, error estimation, adaptivity, and fracture mechanics. • Presents integral equations as a basis for the formulation of general symmetric Galerkin boundary element methods and their corresponding numerical implementation. • Designed to convey effective unified procedures for the treatment of singular and hypersingular integrals that naturally arise in the method. Symbolic codes using Maple® for singular-type integrations are provided and discussed in detail. • The user-friendly adaptive computer code BEAN (Boundary Element ANalysis), fully written in Matlab®, is available as a companion to the text. The complete source code, including the graphical user-interface (GUI), can be downloaded from the web site http://www.ghpaulino.com/SGBEM_book. The source code can be used as the basis for building new applications, and should also function as an effective teaching tool. To facilitate the use of BEAN, a video tutorial and a library of practical examples are provided.
Modern Practice In Stress And Vibration Analysis
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Author : J. E. Mottershead
language : en
Publisher: Elsevier
Release Date : 2016-06-23
Modern Practice In Stress And Vibration Analysis written by J. E. Mottershead and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-23 with Technology & Engineering categories.
Modern Practice in Stress and Vibration Analysis documents the proceedings of the conference on Modern Practice in Stress and Vibration Analysis organized by the Stress Analysis Group of the Institute of Physics at the University of Liverpool, 3-5 April 1989. The Group has been known in the UK for its contribution in providing meetings with an emphasis on application, covering topics which range widely to include modern numerical techniques and advanced experimentation. The volume contains 34 papers presented by researchers at the conference covering a wide range of topics such as the application of the sensitivity analysis method to structural dynamics; passive and active vibration control for use in vibration suppression in spacecraft; analysis of an ultrasonically excited thick cylinder; and the prediction of vibrational power transmission through a system of jointed beams carrying longitudinal and flexural waves. It is hoped that the contributions published in this book will be of value to the broad community of practitioners in stress and vibration analysis whom the Stress Analysis Group exists to serve.
Introduction To Boundary Elements
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Author : Friedel Hartmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Boundary Elements written by Friedel Hartmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
to Boundary Elements Theory and Applications With 194 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Dr.-Ing. Friedel Hartmann University of Dortmund Department of Civil Engineering 4600 Dortmund 50 FRG ISBN-13: 978-3-642-48875-7 e-ISBN-13: 978-3-642-48873-3 001: 10.1007/978-3-642-48873-3 Library of Congress Cataloging-in-Publication Data Hartmann, F. (Friedel) Introduction to boundary elements: theory and applications/Friedel Hartmann. ISBN-13: 978-3-642-48875-7 1. Boundary value problems. I. Title. TA347.B69H371989 515.3'5--dc19 89-4160 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provision of the German Copyright Law of September 9,1965, in its version of June 24,1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1989 Softcover reprint of the hardcover 1 st edition 1989 The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
Boundary Element Techniques
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Author : C. A. Brebbia
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boundary Element Techniques written by C. A. Brebbia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.
Finite Element Analysis Of Hyperbolic Cooling Towers
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Author : Seyyed Mohammed Niku
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Finite Element Analysis Of Hyperbolic Cooling Towers written by Seyyed Mohammed Niku and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The analysis of thin shells of revolution in general has always occupied an important place in the theory of structures, and recently the problem of hyperbolic cooling towers has attracted many investigators due to the wide use of such shells in industry. Until the early 1960's these towers were of moderate size, probably not exceeding 76m (250ft) height. In this range, the structural safety and stability were not of primary concern because, the minimum wall thickness and reinforcement were sufficient to provide the required safety. It was not necessary to use very rigorous methods to analyse the problem. The analysis involved the following assumptions, i) flexural stresses were ignored (membrane tneory), ii) The geometry of the shell was assumed to be perfect and to be idealised as a set of straight sided conical frusta, and iii) The boundary conditions at the base were taken to be fixed or continuously hinged with full tangential restraint.
Boundary Elements And Other Mesh Reduction Methods Xli
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Author : Cheng, A. H-D.
language : en
Publisher: WIT Press
Release Date : 2019-01-30
Boundary Elements And Other Mesh Reduction Methods Xli written by Cheng, A. H-D. and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Mathematics categories.
Containing the proceedings from the 41st conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), this book is a collection of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.