Download or read book Multi region Boundary Element Analysis and Multi layered Green s Functions written by Jiandong Xu and published by . This book was released on 2007 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Green s Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials written by J. R. Berger and published by DIANE Publishing. This book was released on 1998-03 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the potential of Green's functions & boundary element methods in solving a broad range of practical materials science problems. Papers include: Accurate Discretization of Integral Operators, Boundary Element Analysis of Bimaterials Using Anisotropic Elastic Green's Functions, Mechanical Properties of Metal-Matrix Composites, Approximate Operators for Boundary Integral Equations in Transient Elastodynamics, Simulation of the Electrochemical Machining Process Using a 2D Fundamental Singular Solution, Elastic Green's Functions for Anisotropic Solids, & more. Charts & tables.
Download or read book Green s Function and Boundary Elements of Multifield Materials written by Qing-Hua Qin and published by Elsevier. This book was released on 2010-07-07 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Green's Function and Boundary Elements of Multifield Materials contains a comprehensive treatment of multifield materials under coupled thermal, magnetic, electric, and mechanical loads. Its easy-to-understand text clarifies some of the most advanced techniques for deriving Green's function and the related boundary element formulation of magnetoelectroelastic materials: Radon transform, potential function approach, Fourier transform. Our hope in preparing this book is to attract interested readers and researchers to a new field that continues to provide fascinating and technologically important challenges. You will benefit from the authors' thorough coverage of general principles for each topic, followed by detailed mathematical derivation and worked examples as well as tables and figures where appropriate. In-depth explanations of the concept of Green's function Coupled thermo-magneto-electro-elastic analysis Detailed mathematical derivation for Green's functions
Download or read book A Practical Guide to Boundary Element Methods with the Software Library BEMLIB written by C. Pozrikidis and published by CRC Press. This book was released on 2002-05-15 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary-element method is a powerful numerical technique for solving partial differential equations encountered in applied mathematics, science, and engineering. The strength of the method derives from its ability to solve with notable efficiency problems in domains with complex and possibly evolving geometry where traditional methods can be d
Download or read book Green s Functions for Multi layered Poroelastic Media and an Indirect Boundary Element Method written by Teerapong Senjuntichai and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Green Element Method written by Akpofure E. Taigbenu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most texts on computational methods are borne out of research activities at postgraduate study programs, and this is no exception. After being introduced to the boundary element method (BEM) (then referred to as the boundary integral equation method (BIEM)) in 1981 by Prof. Jim Liggett of Cornell University, a number of graduate students and myself under his supervision took active interest in the development of the theory and its application to a wide range of engineering problems. We certainly achieved some amount of success. A personal desire to have a deeper understanding and appreciation of computational methods prompted one to take related courses in fmite deference method, and to undertake a self-instructed study of variational and fmite element methods. These exposures were not only quite instructive but fruitful, and may have provided the motivation for the current research on the Green element method (GEM) - a name coined by Prof. Liggett in 1987 during my visit as Professor to the School of Civil & Environmental Engineering, Cornell University. The main objectives of this text are to serve as an instructional material to senior undergraduate and first year graduate students undertaking a course in computational methods, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to other frontiers and applications.
Download or read book Symmetric Galerkin Boundary Element Method written by Alok Sutradhar and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advances in Boundary Element Techniques written by James H. Kane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The editors have published a select group of full length papers on boundary element analysis (BEA) photographed from camera ready manuscripts. The articles have been prepared by some of the most distinguished and prolific individuals in this field. More than half of these articles have been submitted by authors that participated in an International Forum on Boundary Element Methods, in Melbourne Australia, in the Summer of 1991. However, this volume is not a conference proceedings, as these authors have expanded their accounts to chapter length, and/or have tailored their expositions more toward the style employed in archival journal publications. The authors that did not participate in the International Forum have also adhered to the above mentioned philosophy. This work contains a definitive representation of the significant capabilities and applications currently available or under investigation that fall under the general category of advanced boundary element analysis. With treatments of mechanical, thermal, fluid, and electromagnetic phenomena, this book should thus be of value to graduate students, practitioners, and researchers in engineering, mathematics, and the physical sciences wishing to obtain a broader perspective or remain current in these important areas of computational simulation.
Download or read book Green s Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials written by John R. Berger and published by . This book was released on 1997 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Beginner s Course in Boundary Element Methods written by Whye-Teong Ang and published by Universal-Publishers. This book was released on 2007 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to have prior basic knowledge of vector calculus (covering topics such as line, surface and volume integrals and the various integral theorems), ordinary and partial differential equations, complex variables, and computer programming. Electronic ebook edition available at Powells.com. Click on Powells logo to the left.
Download or read book Boundary Element Research in Europe written by C. A. Brebbia and published by Computational Mechanics. This book was released on 1998 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text reports on developments in boundary element analysis, particularly from European researchers who have unique expertise in the field.
Download or read book Green s Functions written by Yuri A. Melnikov and published by Springer. This book was released on 2017-05-08 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students.
Download or read book Development of Novel Green s Functions and Their Applications to Multiphase and Multilayered Structures written by Feng Han and published by . This book was released on 2006 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Green's function (GF) plays an important role in the solution of linear ordinary and partial differential equations in different science and engineering fields. Combined with the boundary element method (BEM) or method of fundamental solution (MFS), GF provides an elegant and yet powerful tool in investigating various complicated responses of materials/structures. However, the development of novel materials and smart structures presses an urgent need for exploring and developing the corresponding GF and its application. In this study, by virtue of two systems of vector functions and the propagator matrix method, novel GFs for transversely isotropic, piezoelectric functionally graded, and multilayered half spaces are derived. For a point force and point charge density applied at any location of the functionally graded half space, the GFs are expressed in terms of one-dimensional infinite integrals. To carry out the numerical integral, an adaptive Gauss quadrature approach is introduced and modified. Extending from our novel GF solution, the problem of inhomogeneous piezoelectric multilayered half space due to uniform circular surface loadings has been accurately solved. Thus, making use of the method of superposition, arbitrary loading within any irregular surface region of the layered half space can be equally solved. Our multilayered GF can deal with the layered structure having large number of layers with arbitrary thickness for each layer. A user friendly software product, named MultiSmart3D, has been developed and tested for practical applications, particularly in pavement engineering. Compared to other existing commercial software products in layered pavement analysis and design, such as LEAF, JULEA, our MultiSmart3D clearly demonstrates the superior advantage in terms of accuracy and efficiency. Furthermore, we have derived the analytical solution for the multilayered half-space with different interface conditions so that our program can be directly applied to the multilayered pavement analysis and design. Equally, our special program can be applied to various important forward and inverse problems in multilayered earth structure in Earth science and in multilayered thin film structures in material science. Finally, an exact solution is presented for the multilayered rectangular plate made of functionally graded, anisotropic, and magneto-electro-elastic materials."--abstract.
Download or read book Recent Advances in Boundary Element Methods written by C. A. Brebbia and published by . This book was released on 1978 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Progress in Boundary Element Methods written by C. A. Brebbia and published by . This book was released on 1981 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Boundary Element Analysis written by Martin Schanz and published by Springer Science & Business Media. This book was released on 2007-04-29 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields.
