A Three Dimensional Boundary Element Method For Elastodynamics

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The Scaled Boundary Finite Element Method

Author : John P. Wolf
Publisher : John Wiley & Sons
ISBN 13 : 9780471486824
Total Pages : 398 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Scaled Boundary Finite Element Method by : John P. Wolf

Download or read book The Scaled Boundary Finite Element Method written by John P. Wolf and published by John Wiley & Sons. This book was released on 2003-03-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Three-dimensional Boundary Element Method for Elastodynamics

Author : Mark Gavin Mack
Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis A Three-dimensional Boundary Element Method for Elastodynamics by : Mark Gavin Mack

Download or read book A Three-dimensional Boundary Element Method for Elastodynamics written by Mark Gavin Mack and published by . This book was released on 1991 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Three-dimensional Boundary Element Method for Linear Elastodynamics

Author : Marc Clifton Loken
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis A Three-dimensional Boundary Element Method for Linear Elastodynamics by : Marc Clifton Loken

Download or read book A Three-dimensional Boundary Element Method for Linear Elastodynamics written by Marc Clifton Loken and published by . This book was released on 1992 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Scaled Boundary Finite Element Method

Author : Chongmin Song
Publisher : John Wiley & Sons
ISBN 13 : 1119388457
Total Pages : 775 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song

Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Boundary Elements in Dynamics

Author : J. Dominguez
Publisher : WIT Press
ISBN 13 : 1853122580
Total Pages : 724 pages
Book Rating : 4.8/5 (531 download)

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Book Synopsis Boundary Elements in Dynamics by : J. Dominguez

Download or read book Boundary Elements in Dynamics written by J. Dominguez and published by WIT Press. This book was released on 1993 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference for those who need to acquire detailed knowledge of the formulation, implementation, and practical applications of BEM in dynamics. The author presents research on BEM in dynamics of continua. The main emphasis is on the development of the different boundary element formulations.

The Boundary Element Method, Volume 2

Author : M. H. Aliabadi
Publisher : John Wiley & Sons
ISBN 13 : 9780470842980
Total Pages : 614 pages
Book Rating : 4.8/5 (429 download)

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Book Synopsis The Boundary Element Method, Volume 2 by : M. H. Aliabadi

Download or read book The Boundary Element Method, Volume 2 written by M. H. Aliabadi and published by John Wiley & Sons. This book was released on 2002-04-29 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems. Each volume is a self-contained book including a substantial amount of material not previously covered by other text books on the subject. Volume 1 covers applications to heat transfer, acoustics, electrochemistry and fluid mechanics problems, while volume 2 concentrates on solids and structures, describing applications to elasticity, plasticity, elastodynamics, fracture mechanics and contact analysis. The early chapters are designed as a teaching text for final year undergraduate courses. Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research. This volume, Applications in Solids and Structures, provides a comprehensive presentation of the BEM from fundamentals to advanced engineering applications and encompasses: Elasticity for 2D, 3D and Plates and Shells Non-linear, Transient and Thermal Stress Analysis Crack Growth and Multi-body Contact Mechanics Sensitivity Analysis and Optimisation Analysis of Assembled Structures. An important feature of this book is the in-depth presentation of BEM formulations in all the above fields, including detailed discussions of the basic theory, numerical algorithms and where possible simple examples are included, as well as test results for practical engineering applications of the method. Although most of the methods presented are the latest developments in the field, the author has included some simple techniques, which are helpful in understanding the computer implementation of BEM. Another notable feature is the comprehensive presentation of a new generation of boundary elements known as the Dual Boundary Element Method. Written by an internationally recognised authority in the field, this is essential reading for postgraduates, researchers and practitioners in Aerospace, Mechanical and Civil Engineering and Applied Mathematics.

Recent Advances in Boundary Element Methods

Author : George Manolis
Publisher : Springer Science & Business Media
ISBN 13 : 1402097107
Total Pages : 467 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Recent Advances in Boundary Element Methods by : George Manolis

Download or read book Recent Advances in Boundary Element Methods written by George Manolis and published by Springer Science & Business Media. This book was released on 2009-05-12 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields. The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece. The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.

Boundary Element Methods in Elastodynamics

Author : You Tian
Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Boundary Element Methods in Elastodynamics by : You Tian

Download or read book Boundary Element Methods in Elastodynamics written by You Tian and published by . This book was released on 1990 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Element Methods in Engineering

Author : Balkrishna S. Annigeri
Publisher : Springer Science & Business Media
ISBN 13 : 3642842380
Total Pages : 596 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Boundary Element Methods in Engineering by : Balkrishna S. Annigeri

Download or read book Boundary Element Methods in Engineering written by Balkrishna S. Annigeri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method (BEM) has become established as an effective tool for the solutions of problems in engineering science. The salient features of the BEM have been well documented in the open literature and therefore will not be elaborated here. The BEM research has progressed rapidly, especially in the past decade and continues to evolve worldwide. This Symposium was organized to provide an international forum for presentation of current research in BEM for linear and nonlinear problems in solid and fluid mechanics and related areas. To this end, papers on the following topics were included: rotary wing aerodynamics, unsteady aerodynamics, design and optimization, elasticity, elasto dynamics and elastoplasticity, fracture mechanics, acoustics, diffusion and wave motion, thermal analysis, mathematical aspects and boundary/finite element coupled methods. A special session was devoted to parallel/vector supercomputing with emphasis on mas sive parallelism. This Symposium was sponsored by United Technologies Research Center (UTRC) , NASA Langley Research Center, and the International Association of Boundary Ele ment Methods (lAB EM) . We thank the UTRC management for their permission to host this Symposium. In particular, we thank Dr. Arthur S. Kesten and Mr. Robert E. Olson for their encouragement and support. We gratefully acknowledge the support of Dr. E. Carson Yates, Jr. of NASA Langley, Prof. Luigi Morino, Dr. Thomas A.

Mesh Reduction Methods

Author : C. A. Brebbia
Publisher : WIT Press
ISBN 13 : 1845641973
Total Pages : 432 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Mesh Reduction Methods by : C. A. Brebbia

Download or read book Mesh Reduction Methods written by C. A. Brebbia and published by WIT Press. This book was released on 2009 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 31st World Conference on Boundary Elements and Other Mesh Reduction Methods, held Sept. 2-4, 2009, Wessex Institute of Technology.

Boundary Element Methods

Author : S. Kobayashi
Publisher : Springer Science & Business Media
ISBN 13 : 3662061538
Total Pages : 422 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Boundary Element Methods by : S. Kobayashi

Download or read book Boundary Element Methods written by S. Kobayashi and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.

Developments in Boundary Element Methods

Author : P.K. Banerjee
Publisher : CRC Press
ISBN 13 : 0203974506
Total Pages : 299 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Developments in Boundary Element Methods by : P.K. Banerjee

Download or read book Developments in Boundary Element Methods written by P.K. Banerjee and published by CRC Press. This book was released on 2005-12-07 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nine detailed survey chapters by different authors present a number of applications of BEMs.

Higher Gradient Materials and Related Generalized Continua

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303030406X
Total Pages : 246 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Higher Gradient Materials and Related Generalized Continua by : Holm Altenbach

Download or read book Higher Gradient Materials and Related Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2019-11-04 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.

Boundary Elements XIII

Author : C.A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 9401136963
Total Pages : 1005 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Boundary Elements XIII by : C.A. Brebbia

Download or read book Boundary Elements XIII written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its origin in 1978, the International Conference on Boundary Element Methods has provided the recognized and established forum for innovations in boundary element research. Practically all new ideas on boundary ele ments have been presented at these conferences and the resulting papers can be found in the published books. The conference brings together the most renowned scientists and engineers working on boundary element research throughout the world. A unique feature of these meetings is that the participation of younger researchers is actively encouraged by the organizers in an effort to .bring forward to the attention of the international community an ever expanding range of new ideas. This book contains the edited version of the papers presented at the XIIIth BEM Conference held in Tulsa, Oklahoma in August of 1991. The meeting attracted a large number of participants and many excellent contributions which have been divided into nineteen different sections, i.e. Potential Prob lems; Diffusion and Convection Problems; Fluid Mechanics; Fluid Flow; Wave Propagation; Groundwater Flow; Heat Transfer; Electrical Problems; Geomechanics; Plates and Shells; Inelastic Problems; Damage Tolerance; Contact Mechanics; Industrial Applications; Design Sensitivity and Opti mization; Inverse Problems; Special Techniques; Numerical Aspects and Computational Aspects.

Applied mechanics reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamic Analysis and Earthquake Resistant Design

Author :
Publisher : Taylor & Francis
ISBN 13 : 9789054102908
Total Pages : 336 pages
Book Rating : 4.1/5 (29 download)

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Book Synopsis Dynamic Analysis and Earthquake Resistant Design by :

Download or read book Dynamic Analysis and Earthquake Resistant Design written by and published by Taylor & Francis. This book was released on 1997 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Elements and other Mesh Reduction Methods XLIV

Author : A. H.-D. Cheng
Publisher : WIT Press
ISBN 13 : 1784664316
Total Pages : 174 pages
Book Rating : 4.7/5 (846 download)

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Book Synopsis Boundary Elements and other Mesh Reduction Methods XLIV by : A. H.-D. Cheng

Download or read book Boundary Elements and other Mesh Reduction Methods XLIV written by A. H.-D. Cheng and published by WIT Press. This book was released on 2021-08-31 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The maturity of BEM over the last few decades has resulted in a substantial number of industrial applications of the method; this demonstrates its accuracy, robustness and ease of use. The range of applications still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. Theoretical developments and new formulations have been reported over the last few decades, helping to expand the range of boundary elements and other mesh reduction methods (BEM/MRM) applications as well as the type of modelled materials in response to the requirements of contemporary industrial and professional environments. As design, analysis and manufacture become more integrated, the chances are that software users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily within the aforementioned integrated process. The papers included were presented at the 44th International Conference on Boundary Elements and other Mesh Reduction Methods and report advances in techniques that reduce or eliminate the type of meshes associated with finite elements or finite differences.