Boundary Elements: Theory and Applications

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9780080441078: Boundary Elements: Theory and Applications

The author's ambition for this publication was to make BEM accessible to the student as well as to the professional engineer. For this reason, his main
task was to organize and present the material in such a way so that the book becomes "user-friendly" and easy to comprehend, taking into account only the mathematics and mechanics to which students have been exposed during their undergraduate studies. This effort led to an innovative, in many aspects, way of presenting
BEM, including the derivation of fundamental solutions, the integral representation of the solutions and the boundary integral equations for various governing differential
equations in a simple way minimizing a recourse to mathematics with which the student is not familiar. The indicial and tensorial notations, though they facilitate the author's work and allow to borrow ready to use expressions from the literature, have been avoided in the present book. Nevertheless, all the necessary preliminary mathematical concepts have been included in order to make the book complete and self-sufficient.



Throughout the book, every concept is followed by example problems, which have been worked out in detail and with all the necessary clarifications. Furthermore, each chapter of the book is enriched with problems-to-solve. These problems serve a threefold purpose. Some of them are simple and aim at applying and better understanding the presented theory, some others are more difficult and aim at extending the theory to special cases requiring a deeper understanding of the concepts, and others are small projects which serve the purpose of familiarizing the student with BEM programming and the programs contained in the CD-ROM.



The latter class of problems is very important as it helps students to comprehend the usefulness and effectiveness of the method by solving real-life engineering problems. Through these problems students realize that the BEM is a powerful computational tool and not an alternative theoretical approach for dealing with physical problems. My experience in teaching BEM shows that this is the students' most favorite type of problems. They are delighted to solve them, since they integrate their knowledge and make them feel confident in mastering BEM.



The CD-ROM which accompanies the book contains the source codes of all the computer programs developed in the book, so that the student or the engineer can use them for the solution of a broad class of problems. Among them are general potential problems, problems of torsion, thermal conductivity,
deflection of membranes and plates, flow of incompressible fluids, flow through porous media, in isotropic or anisotropic, homogeneous or composite bodies, as well as plane elastostatic problems in simply or multiply connected domains. As one can readily find out from the variety of the applications, the book is useful for engineers of all disciplines. The author is hopeful that the present book will introduce the reader to BEM in an easy, smooth and pleasant way and also contribute to its
dissemination as a modern robust computational tool for solving engineering problems.

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About the Author:

/inca/publications/misc/622977katsik.doc Bibliography katsikadelis katsikadelis.jpg John T. Katsikadelisis a full professor at the Civil Engineering Department of the National Technical University of Athens (NTUA), Greece, the director of the Institute of Structural Analysis and Aseismic Research at NTUA and the professor of Structural Analysis at the School of Corps of Engineers of the Greek Army. He received his Civil Engineering Diploma and Doctor of Engineering Degree from NTUA and later a MSc degree and a second PhD degree in Applied Mechanics, from the Polytechnic University of New York. In 1970, he joined the faculty of NTUA where he has been teaching courses of statically determinate and indeterminate structures, matrix structural analysis, structural dynamics, plates and shells, continuum mechanics and applied elasticity and boundary elements. He has been involved in the design and construction of many civil engineering structures both as consultant and contractor. Dr. Katsikadelis maintains research interests in the areas of applied mechanics, structural engineering, and numerical methods, especially boundary elements. He has published more than 140 technical papers in the most reputable international journals and proceedings of international conferences, he has written chapters in edited books, text books and lecture notes on structural analysis. He serves on the editorial boards of international journals and book series. He has been guest editor of special issues of Journals, member of scientific and advisory committees for many international conferences, where he has given plenary keynote lectures. He is the past president of the Greek Association for Computational Mechanics(affiliated to IACM), and the vice President of the Hellenic Society for Theoretical and Applied Mechanics(affiliated to IUTAM). He is also a fellow of the Wessex Institute (UK) and a foundi

About the Author:

Dr. Katsikadelis is a recognized expert in structural analysis and applied mechanics, with particular experience and research interest in the use of boundary element method (BEM) and other mesh reduction methods for linear and nonlinear analysis of structures. He is an editorial board member of several key publications in the area, including Engineering Analysis with Boundary Elements, and has published numerous books, many of which focus on the development and application of BEM for problems in engineering and mathematical physics.

"About this title" may belong to another edition of this title.

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