Fundamental Solutions In Elastodynamics

Author : E. Kausel
Publisher : Cambridge University Press
ISBN 13 : 9780521855709
Total Pages : 274 pages
Book Rating : 4.05/5 ( download)

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Download or read book Fundamental Solutions in Elastodynamics written by E. Kausel and published by Cambridge University Press. This book was released on 2006-02-13 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work contains fundamental solutions for classical, canonical, elastodynamics problems using common format and notation.

Author : Eduardo Kausel
Publisher :
ISBN 13 : 9781107155459
Total Pages : 260 pages
Book Rating : 4.52/5 ( download)

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Download or read book Fundamental Solutions in Elastodynamics written by Eduardo Kausel and published by . This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work contains fundamental solutions for classical, canonical, problems in elastodynamics using common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources in solid elastic media. The formulas were programmed in MATLAB. The program listings are available for free download on the book web site.

Author : Norbert Ortner
Publisher : Springer
ISBN 13 : 3319201409
Total Pages : 398 pages
Book Rating : 4.05/5 ( download)

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Download or read book Fundamental Solutions of Linear Partial Differential Operators written by Norbert Ortner and published by Springer. This book was released on 2015-08-05 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwell’s system and others. The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.

Author : Prem Kythe
Publisher : Springer Science & Business Media
ISBN 13 : 9780817638696
Total Pages : 448 pages
Book Rating : 4.95/5 ( download)

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Download or read book Fundamental Solutions for Differential Operators and Applications written by Prem Kythe and published by Springer Science & Business Media. This book was released on 1996-07-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.

Author : J. Dominguez
Publisher : WIT Press
ISBN 13 : 1853122580
Total Pages : 724 pages
Book Rating : 4.83/5 ( download)

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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.

Author : Eduardo Kausel
Publisher : Cambridge University Press
ISBN 13 : 1316772926
Total Pages : 749 pages
Book Rating : 4.28/5 ( download)

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Download or read book Advanced Structural Dynamics written by Eduardo Kausel and published by Cambridge University Press. This book was released on 2017-08-07 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from three decades' worth of lecture notes which the author used to teach at the Massachusetts Institute of Technology, this unique textbook presents a comprehensive treatment of structural dynamics and mechanical vibration. The chapters in this book are self-contained so that instructors can choose to be selective about which topics they teach. Written with an application-based focus, the text covers topics such as earthquake engineering, soil dynamics, and relevant numerical methods techniques that use MATLAB. Advanced topics such as the Hilbert transform, gyroscope forces, and spatially periodic structures are also treated extensively. Concise enough for an introductory course yet rigorous enough for an advanced or graduate-level course, this textbook is also a useful reference manual - even after the final exam - for professional and practicing engineers.

Author : Evangelous J. Sapountzakis
Publisher : WIT Press
ISBN 13 : 1845644921
Total Pages : 417 pages
Book Rating : 4.25/5 ( download)

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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 : George C. Hsiao
Publisher : Springer Nature
ISBN 13 : 3030711277
Total Pages : 783 pages
Book Rating : 4.76/5 ( download)

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Download or read book Boundary Integral Equations written by George C. Hsiao and published by Springer Nature. This book was released on 2021-03-26 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the book which has two additional new chapters on Maxwell’s equations as well as a section on properties of solution spaces of Maxwell’s equations and their trace spaces. These two new chapters, which summarize the most up-to-date results in the literature for the Maxwell’s equations, are sufficient enough to serve as a self-contained introductory book on the modern mathematical theory of boundary integral equations in electromagnetics. The book now contains 12 chapters and is divided into two parts. The first six chapters present modern mathematical theory of boundary integral equations that arise in fundamental problems in continuum mechanics and electromagnetics based on the approach of variational formulations of the equations. The second six chapters present an introduction to basic classical theory of the pseudo-differential operators. The aforementioned corresponding boundary integral operators can now be recast as pseudo-differential operators. These serve as concrete examples that illustrate the basic ideas of how one may apply the theory of pseudo-differential operators and their calculus to obtain additional properties for the corresponding boundary integral operators. These two different approaches are complementary to each other. Both serve as the mathematical foundation of the boundary element methods, which have become extremely popular and efficient computational tools for boundary problems in applications. This book contains a wide spectrum of boundary integral equations arising in fundamental problems in continuum mechanics and electromagnetics. The book is a major scholarly contribution to the modern approaches of boundary integral equations, and should be accessible and useful to a large community of advanced graduate students and researchers in mathematics, physics, and engineering.

Author : Kazumi Watanabe
Publisher : Springer
ISBN 13 : 331917455X
Total Pages : 264 pages
Book Rating : 4.56/5 ( download)

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Download or read book Integral Transform Techniques for Green's Function written by Kazumi Watanabe and published by Springer. This book was released on 2015-04-20 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green’s functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail and 2D and 3D elastodynamic problems are treated in full. This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green’s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.

Author : Carlos A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 364282398X
Total Pages : 273 pages
Book Rating : 4.85/5 ( download)

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Download or read book Time-dependent and Vibration Problems written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series has been developed in response to the interest shown in boundary ele ments by scientists and engineers. Whilst Volume 1 was dedicated to basic principles and applications, this book is concerned with the state of the art in the solution of time-dependent problems. Since papers have recently been published on this im portant topic it is time to produce a work of a more permanent nature. The volume begins with a chapter on the Fundamentals of Boundary Integral Equation Methods in Elastodynamics. After reviewing the basic equations of elasto dynamics, the wave equation and dynamic reciprocal theorems are stated and the direct and indirect boundary element formulations are presented. Eigenvalue problems are discussed together with the case of the Fourier transformations. Several applications illustrate the effectiveness of the technique for engineering. Chapter 2 examines some of the various boundary integral equation formulations available for elastodynamic problems. In particular the displacement-traction for mulation is compared with the displacement-potential case. The special character istics of the elastodynamics fundamental solutions are discussed in detail and a criti cal comparison with the elastostatics case is presented. While the chapter is not meant to be a complete review of the work in the field, the original presentation of the problem and the suggestions for further work make an important contribu tion to the development of the method.