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A Boundary Element Formulation For Thick Plates
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Book Synopsis Boundary Element Formulations for Thick Plates by : Youssef F. Rashed
Download or read book Boundary Element Formulations for Thick Plates written by Youssef F. Rashed and published by Computational Mechanics. This book was released on 2000 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plate bending problems have many applications in civil and mechanical engineering. The analysis of plates using the Boundary Element Method (BEM), however, has received little attention in existing research and literature. This book presents new Boundary Element formulations for plate bending problems in which the Reissner plate bending theory is used to model the bending behaviour of the plate. The author applies several integral equations to solve engineering problems relating to a building slab, beam, footing, and simple raft and the results are compared against analytical solutions such as a finite difference method, a finite element method and a three-dimensional boundary element method. These confirm that the Boundary Element formulations presented are a competitive alternative to existing numerical methods.
Book Synopsis A Boundary Element Formulation for Thick Plates by : Raymond Nazih El-Khoury
Download or read book A Boundary Element Formulation for Thick Plates written by Raymond Nazih El-Khoury and published by . This book was released on 1985 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Boundary Element Method for Plate Analysis by : John T. Katsikadelis
Download or read book The Boundary Element Method for Plate Analysis written by John T. Katsikadelis and published by Elsevier. This book was released on 2014-07-16 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Boundary Element Analysis of Plates and Shells by : Dimitri E. Beskos
Download or read book Boundary Element Analysis of Plates and Shells written by Dimitri E. Beskos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of plates and shells under static and dynamic loads is of greatinterest to scientists and engineers both from the theoretical and the practical viewpoint. The Boun- dary Element Method (BEM) has some distinct advantages over domain techniques such as the Finite Difference Method (FDM) and the Finite Element Method (FEM) for a wide class of structuralanalysis problems. This is the first book to deal specifically with the analysis of plates and shells by the BEM and to cover all aspects of their behaviour, and combi- nes tutorial and state-of-the-art articles on the BEM as ap- plied to plates and shells. It aims to inform scientists and engineers about the use and the advantages of this techni- que, the most recent developments in the field and the per- tinent literature for further study.
Book Synopsis A Boundary Element Formulation for the Analysis of Reissner's Plates Using Linear Elements by : Marina Firer
Download or read book A Boundary Element Formulation for the Analysis of Reissner's Plates Using Linear Elements written by Marina Firer and published by . This book was released on 1987 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Tania G.B. DeFigueiredo Publisher :Springer Science & Business Media ISBN 13 :3642845045 Total Pages :210 pages Book Rating :4.6/5 (428 download)
Book Synopsis A New Boundary Element Formulation in Engineering by : Tania G.B. DeFigueiredo
Download or read book A New Boundary Element Formulation in Engineering written by Tania G.B. DeFigueiredo and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 The Hybrid Displacement Boundary Element Model This work is concerned with the derivation of a numerical model for the solution of boundary-value problems in potential theory and linear elasticity. It is considered a boundary element model because the final integral equation involves some boundary integrals, whose evaluation requires a boundary discretization. Furthermore, all the unknowns are boundary vari ables. The model is completely new; it differs from the classical boundary element formulation ·in the way it is generated and consequently in the fi nal equations. A generalized variational principle is used as a basis for its derivation, whereas the conventional boundary element formulation is based on Green's formula (potential problems) and on Somigliana's identity (elas ticity), or alternatively through the weighted residual technique. 2 The multi-field variational principle which generates the formulation in volves three independent variables. For potential problems, these are the potential in the domain and the potential and its normal derivative on the boundary. In the case of elasticity, these variables are displacements in the domain and displacements and tractions on the boundary. For this reason, by analogy with the assumed displacement hybrid finite element model, ini tially proposed by Tong [1] in 1970, it can be called a hybrid displacement model. The final system of equations to be solved is similar to that found in a stiffness formulation. The stiffness matrix for this model is symmetric and can be evaluated by only performing integrations along the boundary.
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.
Book Synopsis Advances in Boundary Elements by : C. A. Brebbia
Download or read book Advances in Boundary Elements written by C. A. Brebbia and published by . This book was released on 1989 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Elements by : C. A. Brebbia
Download or read book Boundary Elements written by C. A. Brebbia and published by WIT Press. This book was released on 1994-05-31 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling text provides a simple introduction to the Boundary Element Method. Based on the authors' long teaching experience it is designed to convey in the most effective manner the fundamentals of the method. The book is presented in a way which makes it accessible to both undergraduate and graduate students as well as to practising engineers who want to learn the foundations of the technique. Of particular interest is the way in which Boundary Element concepts are introduced and immediately applied in simple, but useful, computer codes to facilitate understanding. A CD with the complete listing of program codes in Fortran is also included.
Book Synopsis The Boundary Element Method Applied to Inelastic Problems by : J.C.F. Telles
Download or read book The Boundary Element Method Applied to Inelastic Problems written by J.C.F. Telles and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Element Formulation for Planar Time-dependent Inelastic Deformation of Plates with Cutouts by :
Download or read book Boundary Element Formulation for Planar Time-dependent Inelastic Deformation of Plates with Cutouts written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A boundary element formulation for planar, time-dependent, inelastic deformation problems for bodies with cutouts is presented in this paper. A stress function description for these nonlinear problems leads to a nonhomogeneous biharmonic equation for the stress function rate. An integral representation of the solution uses modified kernels which guarantee that the cutout boundary is traction free for all time. This incorporation of the effect of the cutout on the stress field into the kernels leads to an accurate determination of stresses in the near field of the cutout. Illustrative analytical examples for circular plates with circular cutouts are presented in this paper. In a companion paper, numerical solutions are presented for problems of finite plates with very narrow elliptic cutouts. These problems are of considerable importance in inelastic fracture.
Book Synopsis Boundary Element Techniques by : C. A. Brebbia
Download or read book Boundary Element Techniques written by C. A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Recent Developments in Boundary Element Methods by : Evangelous J. Sapountzakis
Download or read book Recent Developments in Boundary Element Methods written by Evangelous J. Sapountzakis and published by WIT Press. This book was released on 2010 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is a collection of articles contributed by colleagues, collaborators and past students to honor Professor John T. Katsikadelis on the occasion of his 70 years. Professor Katsikadelis, now an emeritus professor at the National Technical University of Athens in Greece, is one of the BEM pioneers who started his research in this field with his PhD thesis at the Polytechnic Institute of New York in the 1970s and continued it to date.The book comprises 26 contributions by more than 50 leading researchers in Boundary Element Methods (BEM) and other Mesh Reduction Methods (MRM). All contributors are well-known scientists from Asia, Australia, Europe, and North and South America. The volume is essentially a collection of both original and review articles covering a variety of research topics in the areas of solid mechanics, fluid mechanics, potential theory, composite materials, fracture mechanics, damage mechanics, plasticity, heat transfer, dynamics and vibrations and soil-structure interaction. Invaluable to scientists, engineers and other professionals interested in the latest developments of the boundary integral equation methods, it addresses the needs of the BEM computational mechanics research community.The book is written for: researchers in academia and industry and graduate students focusing on solid and fluid mechanics as used in civil, mechanical and aerospace engineering.
Author :International Conference on the Boundary Element Method Publisher :WIT Press (UK) ISBN 13 :9781853128240 Total Pages :666 pages Book Rating :4.1/5 (282 download)
Book Synopsis Boundary Elements XXII by : International Conference on the Boundary Element Method
Download or read book Boundary Elements XXII written by International Conference on the Boundary Element Method and published by WIT Press (UK). This book was released on 2000 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering state-of-the-art developments in this field of engineering analysis, this volume consists of the papers presented at an international conference devoted to the boundary element method. It addresses areas of active research related to the BEM community, such as meshless techniques, advanced formulations and high performance computing. Further work in the dual reciprocity method is also discussed. Other papers reflect late-20th century advances in fluid dynamics, fracture and damage mechanics, acoustics and electromagnetism, while there is also a section on the industrial implementation of the technique, and the way in which it can be used as a tool.
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 504 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.
Book Synopsis Boundary Element Methods in Engineering and Sciences by : M. H. Aliabadi
Download or read book Boundary Element Methods in Engineering and Sciences written by M. H. Aliabadi and published by World Scientific. This book was released on 2011 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique. It is an established alternative to traditional computational methods of engineering analysis. This book provides a comprehensive account of the method and its application to problems in engineering and science.
Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXVIII by : A.H-D. Cheng
Download or read book Boundary Elements and Other Mesh Reduction Methods XXXVIII written by A.H-D. Cheng and published by WIT Press. This book was released on 2015-11-16 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing the latest in a long line of conferences covering the most recent advances in Boundary Elements and Mesh Reduction Methods (BEM/MRM), this book contains an important chapter in the history of this important method used in science and engineering. The BEM/MRM conference has long been recognised as THE international forum on the technique. The proceedings of the conference therefore constitute a record of the development of the method, running from the initial successful development of boundary integral techniques into the BEM, a method that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since the boundary elements, mesh reduction, and meshless methods are used in many engineering and scientific fields, the book will be of great interest to all engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods. Topics covered include: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer, Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and Vibrations Engineering applications.
