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Stress Analysis By Boundary Element Methods


Stress Analysis By Boundary Element Methods
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Stress Analysis By Boundary Element Methods


Stress Analysis By Boundary Element Methods
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Author : J. Balaš
language : en
Publisher: Elsevier
Release Date : 2013-10-22

Stress Analysis By Boundary Element Methods written by J. Balaš and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.


The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.



Stress Analysis By Boundary Element Methods


Stress Analysis By Boundary Element Methods
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Author : Ján Balaš
language : en
Publisher:
Release Date : 1989

Stress Analysis By Boundary Element Methods written by Ján Balaš and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




Advances In Boundary Elements


Advances In Boundary Elements
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Author : C. A. Brebbia
language : en
Publisher:
Release Date : 1989

Advances In Boundary Elements written by C. A. Brebbia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.




The Boundary Element Method With Programming


The Boundary Element Method With Programming
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Author : Gernot Beer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-03

The Boundary Element Method With Programming written by Gernot Beer 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 2008-09-03 with Technology & Engineering categories.


This thorough yet understandable introduction to the boundary element method presents an attractive alternative to the finite element method. It not only explains the theory but also presents the implementation of the theory into computer code, the code in FORTRAN 95 can be freely downloaded. The book also addresses the issue of efficiently using parallel processing hardware in order to considerably speed up the computations for large systems. The applications range from problems of heat and fluid flow to static and dynamic elasto-plastic problems in continuum mechanics.



Stress Analysis By Boundary Element Methods


Stress Analysis By Boundary Element Methods
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Author :
language : en
Publisher:
Release Date : 1989

Stress Analysis By Boundary Element Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




The Boundary Element Method For Engineers And Scientists


The Boundary Element Method For Engineers And Scientists
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Author : John T. Katsikadelis
language : en
Publisher: Academic Press
Release Date : 2016-10-10

The Boundary Element Method For Engineers And Scientists written by John T. Katsikadelis and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-10 with Technology & Engineering categories.


The Boundary Element Method for Engineers and Scientists: Theory and Applications is a detailed introduction to the principles and use of boundary element method (BEM), enabling this versatile and powerful computational tool to be employed for engineering analysis and design. In this book, Dr. Katsikadelis presents the underlying principles and explains how the BEM equations are formed and numerically solved using only the mathematics and mechanics to which readers will have been exposed during undergraduate studies. All concepts are illustrated with worked examples and problems, helping to put theory into practice and to familiarize the reader with BEM programming through the use of code and programs listed in the book and also available in electronic form on the book's companion website. - Offers an accessible guide to BEM principles and numerical implementation, with worked examples and detailed discussion of practical applications - This second edition features three new chapters, including coverage of the dual reciprocity method (DRM) and analog equation method (AEM), with their application to complicated problems, including time dependent and non-linear problems, as well as problems described by fractional differential equations - Companion website includes source code of all computer programs developed in the book for the solution of a broad range of real-life engineering problems



Stress Analysis By Boundary Element Methods


Stress Analysis By Boundary Element Methods
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Author : Ján Balaš
language : en
Publisher:
Release Date : 1989

Stress Analysis By Boundary Element Methods written by Ján Balaš and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




Boundary Element Methods


Boundary Element Methods
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Author :
language : en
Publisher: Institute of Physics Publishing (GB)
Release Date : 1986

Boundary Element Methods written by and has been published by Institute of Physics Publishing (GB) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.




The Scaled Boundary Finite Element Method


The Scaled Boundary Finite Element Method
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Author : John P. Wolf
language : en
Publisher: John Wiley & Sons
Release Date : 2003-03-14

The Scaled Boundary Finite Element Method written by John P. Wolf 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 2003-03-14 with Technology & Engineering categories.


A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.



The Boundary Element Method For Plate Analysis


The Boundary Element Method For Plate Analysis
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Author : John T. Katsikadelis
language : en
Publisher: Academic Press
Release Date : 2017-10-30

The Boundary Element Method For Plate Analysis written by John T. Katsikadelis and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Mathematics categories.


Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design. Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application. Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, Boundary Element Method for Plate Analysis is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering. One of the first resources dedicated to boundary element analysis of plates, offering a systematic and accessible introductory to theory and application Authored by a leading figure in the field whose pioneering work has led to the development of BEM as an efficient computational method for practical plate analysis and design Includes mathematical background, examples and problems in one self-contained resource