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Greens Functions In Applied Mechanics
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Book Synopsis Green's Functions in Applied Mechanics by : Yu. A. Melnikov
Download or read book Green's Functions in Applied Mechanics written by Yu. A. Melnikov and published by Computational Mechanics. This book was released on 1995 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is probably the first attempt to make this special topic in the field of partial differential equations accessible to a large audience. The book contains a description of how to construct Green's functions and matrices for elliptic partial differential equations. A number of applications are also presented showing the computational capability of the Green's functions method, and indicate possible ways to put into practice the results of the present study.
Book Synopsis Green's Functions with Applications by : Dean G. Duffy
Download or read book Green's Functions with Applications written by Dean G. Duffy and published by CRC Press. This book was released on 2015-03-10 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Green’s function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Green’s functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Green’s functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book. Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.
Book Synopsis Green's Functions by : Yuri A. Melnikov
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.
Book Synopsis Green’s Functions in Classical Physics by : Tom Rother
Download or read book Green’s Functions in Classical Physics written by Tom Rother and published by Springer. This book was released on 2017-04-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the Green’s function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches. The book bridges the gap between applications of the Green’s function formalism in quantum physics and classical physics. This book is written as an introduction for graduate students and researchers who want to become more familiar with the Green’s function formalism. In 1828 George Green has published an essay that was unfortunately sunken into oblivion shortly after its publication. It was rediscovered only after several years by the later Lord Kelvin. But since this time, using Green’s functions for solving partial differential equations in physics has become an important mathematical tool. While the conceptual and epistemological importance of these functions were essentially discovered and discussed in modern physics - especially in quantum field theory and quantum statistics - these aspects are rarely touched in classical physics. In doing it, this book provides an interesting and sometimes new point of view on several aspects and problems in classical physics, like the Kepler motion or the description of certain classical probability experiments in finite event spaces. A short outlook on quantum mechanical problems concludes this book.
Book Synopsis Integral Transform Techniques for Green's Function by : Kazumi Watanabe
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 274 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.
Book Synopsis Applications of Green's Functions in Science and Engineering by : Michael D. Greenberg
Download or read book Applications of Green's Functions in Science and Engineering written by Michael D. Greenberg and published by Courier Dover Publications. This book was released on 2015-08-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to coverage of Green's function, this concise introductory treatment examines boundary value problems, generalized functions, eigenfunction expansions, partial differential equations, and acoustics. Suitable for undergraduate and graduate students. 1971 edition.
Book Synopsis Green's Functions with Applications, 2nd Edition by : Dean Duffy
Download or read book Green's Functions with Applications, 2nd Edition written by Dean Duffy and published by . This book was released on 2016 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since publication of the first edition over a decade ago, Green's Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green's function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Green's function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Green's functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Green's functions, each chapter contains a special section devoted to topics where Green's functions particularly are useful. For example, in the case of the wave equation, Green's functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Green's functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book. Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Green's Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.
Book Synopsis Green’s Functions with Applications, Second Edition by : Dean G. Duffy
Download or read book Green’s Functions with Applications, Second Edition written by Dean G. Duffy and published by Chapman and Hall/CRC. This book was released on 2015-03-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Green’s function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Green’s functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Green’s functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book. Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.
Book Synopsis Heat Conduction Using Green's Functions by : Kevin Cole
Download or read book Heat Conduction Using Green's Functions written by Kevin Cole and published by Taylor & Francis. This book was released on 2010-07-16 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its publication more than 15 years ago, Heat Conduction Using Green's Functions has become the consummate heat conduction treatise from the perspective of Green's functions-and the newly revised Second Edition is poised to take its place. Based on the authors' own research and classroom experience with the material, this book organizes the so
Book Synopsis Advances in Applied Mechanics by : Erik van der Giessen
Download or read book Advances in Applied Mechanics written by Erik van der Giessen and published by Academic Press. This book was released on 2001-09-28 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics is defined as a branch of physics that focuses on motion and the reaction of physical systems to internal and external forces. This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied solid and fluid mechanics.
Book Synopsis Diffusion-Wave Fields by : Andreas Mandelis
Download or read book Diffusion-Wave Fields written by Andreas Mandelis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to provide a unified approach, the author develops the properties of diffusion-wave fields first for the well-studied case of thermal-wave fields and then applies the methods to nonthermal fields.
Book Synopsis Influence Functions and Matrices by : Yuri Melnikov
Download or read book Influence Functions and Matrices written by Yuri Melnikov and published by Routledge. This book was released on 2017-10-05 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Analyzes a wide range of problem classes originating in applied mechanics, stressing the use of influence (Green's) functions in their analysis. Provides an extensive list of influence functions and matrices-several in print for the first time. Addresses areas such as fluid flow, acoustics, electromagnetism, heat transfer, and elasticity.
Book Synopsis Green's Functions and Boundary Element Analysis for Modeling of Mechanical Behavior of Advanced Materials by : J. R. Berger
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.
Book Synopsis Application of Green's Functions in Science and Engineering by : Michael D. Greenberg
Download or read book Application of Green's Functions in Science and Engineering written by Michael D. Greenberg and published by Prentice Hall. This book was released on 1971 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The "Green’s Function" Associated with One- and Two-Dimensional Problems by : Sana Munir
Download or read book The "Green’s Function" Associated with One- and Two-Dimensional Problems written by Sana Munir and published by GRIN Verlag. This book was released on 2015-04-27 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essay from the year 2015 in the subject Mathematics - General, Basics, , language: English, abstract: In mathematics a green’s function is type of function used to solve inhomogeneous differential equations subject to specific initial conditions or boundary conditions. Green’s functions provide an important tool when we study the boundary value problem. They also have intrinsic value for a mathematician. Also green’s functions in general are distribution, not necessarily proper function. Green functions are also useful for solving wave equation, diffusion equation and in quantum mechanics, where the green’s function of the Hamiltonian is a key concept, with important links to the concept of density of states. In this project construction of green’s function in one and two dimension has shown. There are more then one way of constructing greens’ function (if it exist) but the result is always same. Due to this we can say that green’s function for a given linear system is unique.
Book Synopsis Handbook of Green's Functions and Matrices by : V. D. Şeremet
Download or read book Handbook of Green's Functions and Matrices written by V. D. Şeremet and published by Witpress. This book was released on 2003 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for graduate and postgraduate students investigating such areas as elasticity, thermoelasticity, mechanics, heat conduction, elector and magneto conduction, electronics, radio-physics, hydrodynamics, and conduction of moisture, the text will also be of interest to engineers and researchers working in these fields.
Book Synopsis Green's Function and Boundary Elements of Multifield Materials by : Qing-Hua Qin
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
