Download or read book Acoustic and Elastic Wave Scattering Using Boundary Elements written by J. J. do Rêgo Silva and published by Computational Mechanics. This book was released on 1994-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of wave propagation in solids and fluids is of importance in many branches of physics and engineering. This book concentrates on the propagation of acoustic and harmonic waves in three-dimensional regions. The problems are formulated using integral equations and their numerical solutions are obtained through the boundary element method.
Download or read book Acoustic and Elastic Wave Scattering Using Boundary Elements written by J. J. do Rêgo Silva and published by Computational Mechanics. This book was released on 1994 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acoustic Scattering by Elastic Solids Using the Boundary Element Method written by Partha P. Goswami and published by . This book was released on 1988 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scattering of Acoustic and Elastic Waves by Surfaces of Arbitrary Shape written by Robert Peter Banaugh and published by . This book was released on 1962 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acoustic Interactions With Submerged Elastic Structures Part Ii Propagation Ocean Acoustics And Scattering written by Juri Engelbrecht and published by World Scientific. This book was released on 2001-07-31 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.
Download or read book The Boundary Element Method in Acoustics written by Stephen Kirkup and published by Stephen Kirkup. This book was released on 1998 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acoustic Interactions with Submerged Elastic Structures written by Ardshir Guran and published by World Scientific. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment.
Download or read book Computational Acoustics of Noise Propagation in Fluids Finite and Boundary Element Methods written by Steffen Marburg and published by Springer Science & Business Media. This book was released on 2008-02-27 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.
Download or read book Enriched and Isogeometric Boundary Element Methods for Acoustic Wave Scattering written by Michael John Peake and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interface Effects in Elastic Wave Scattering written by Samuel D. Bogan and published by Springer Science & Business Media. This book was released on 2008-10-09 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study dynamical effects of incident compressional and distortional elastic waves on a layer of planar, cylindrical, or spherical geometry, especially focusing on the stress fields surrounding the layer. These results are derived from the exact solutions for elastic wave scattering from such interfaces developped in the first part of the book. Comparisons of numerical solutions of special problems with the analytical solutions are given and it is shown how the latter help to simplify the numerical treatment. The material presented in this monograph will help in developing composite materials with improved chemical and physical properties and in non-destructive testing of such materials. Engineers, physicists, and workers in applied mathematics will welcome this well written text. It may also be used for additional reading in a course on elasto-mechanics.
Download or read book Low and High Frequency Asymptotics written by V.K. Varadan and published by Elsevier. This book was released on 2013-10-22 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on asymptotic methods in the low and high frequency limits for the solution of scattering and propagation problems. Each chapter is pedagogical in nature, starting with the basic foundations and ending with practical applications. For example, using the Geometrical Theory of Diffraction, the canonical problem of edge diffraction is first solved and then used in solving the problem of diffraction by a finite crack. In recent times, the crack problem has been of much interest for its applications to Non-Destructive Evaluation (NDE) of flaws in structural materials.
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.
Download or read book Advanced Topics in Scattering Theory and Biomedical Engineering written by A. Charalambopoulos and published by World Scientific. This book was released on 2010 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings consists of the papers presented during the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, held in Patras, Greece, on 9ndash;11 October 2009. The book contains papers on scattering theory and biomedical engineering - two rapidly evolving fields which have a considerable impact on today's research. All the papers are state-of-the-art, have been carefully reviewed before publication and the authors are well-known in the scientific community. in addition, some papers focus more on applied mathematics, which provides a solid ground for development and innovative research in scattering and biomedical engineering.
Download or read book Boundary Element Methods for Engineers and Scientists written by Lothar Gaul and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decades, the Boundary Element Method has emerged as a ver satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method. As with any numerical method, the engineer or scientist who applies it to a practical problem needs to be acquainted with, and understand, its basic principles to be able to apply it correctly and be aware of its limitations. It is with this intention that we have endeavoured to write this book: to give the student or practitioner an easy-to-understand introductory course to the method so as to enable him or her to apply it judiciously. As the title suggests, this book not only serves as an introductory course, but also cov ers some advanced topics that we consider important for the researcher who needs to be up-to-date with new developments. This book is the result of our teaching experiences with the Boundary Element Method, along with research and consulting activities carried out in the field. Its roots lie in a graduate course on the Boundary Element Method given by the authors at the university of Stuttgart. The experiences gained from teaching and the remarks and questions of the students have contributed to shaping the 'Introductory course' (Chapters 1-8) to the needs of the stu dents without assuming a background in numerical methods in general or the Boundary Element Method in particular.
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:
Download or read book Development and Applications of Hypersingular Boundary Integral Equations for Three dimensional Acoustics and Elastodynamics written by Yijun Liu and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary integral equation/boundary element method (BIE/BEM) has emerged as a powerful alternative tool to other numerical methods for many problems in engineering. The hypersingular BIE's, which are derivatives of conventional BIE's, are indispensable for the analyses of many problems in mechanics by BIE/BEM, such as wave scattering, crack problems, plate bending, thin body and thin inclusion problems, for which the conventional BIE's are insufficient or fail. However, the application of hypersingular BIE's had been very limited because of the difficulty in dealing with the hypersingular integrals involved. In this thesis, the hypersingular BIE's for 3-D acoustic and elastic wave problems are presented in weakly-singular forms. For this purpose, three integral identities for the fundamental solutions of both potential and elastostatic problems are established and employed. These weakly-singular forms of the hypersingular BIE's can be handled easily and no special quadratures are needed in the numerical computation. The composite BIE formulations, which use a linear combination of the conventional and hypersingular BIE's, are applied to overcome the fictitious eigenfrequency difficulty (nonunique solutions) existing in the conventional BIE formulations of exterior acoustic and elastic wave problems. Overhauser $Csp1$ continuous boundary elements, which satisfy the smoothness requirement of the hypersingular BIE's, are implemented for these composite BIE formulations and compared with the traditional $Csp0$ conforming quadratic and non-conforming quadratic elements. Numerical examples of scattering in both acoustic and elastic media clearly demonstrate the effectiveness and efficiency of the developed formulations.
Download or read book Domain Decomposition Techniques for Boundary Elements written by L. Škerget and published by WIT Press. This book was released on 2007 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sub-domain techniques in the BEM are nowadays finding its place in the toolbox of numerical modellers, especially when dealing with complex 3D problems. We see their main application in conjunction with the classical BEM approach, which is based on a single domain, when part of the domain needs to be solved using a single domain approach, the classical BEM, and part needs to be solved using a domain approach. This has usually been done in the past by coupling the BEM with the FEM, however, it is much more efficient to use a combination of the BEM and a BEM sub-domain technique. The advantage arises from the simplicity of coupling the single domain and multi-domain solutions, and from the fact that only one formulation needs to be developed, rather than two separate formulations based on different techniques. There are still possibilities for improving the BEM sub-domain techniques. However, considering the increased interest and research in this approach we believe that BEM sub-domain techniques will become a logical choice in the future substituting the FEM whenever an efficient solution requires coupling of the BEM with a domain technique.
