Linear Elastic Waves
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Linear Elastic Waves
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Author : John G. Harris
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-06
Linear Elastic Waves written by John G. Harris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-06 with Mathematics categories.
An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.
The Theory Of Elastic Waves And Waveguides
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Author : J. Miklowitz
language : en
Publisher: Elsevier
Release Date : 2012-12-02
The Theory Of Elastic Waves And Waveguides written by J. Miklowitz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.
The primary objective of this book is to give the reader a basic understanding of waves and their propagation in a linear elastic continuum. The studies of elastodynamic theory and its application to fundamental value problems should prepare the reader to tackle many physical problems of general interest in engineering and geophysics, and of particular interest in mechanics and seismology.
Introduction To Elastic Wave Propagation
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Author : Anthony Bedford
language : en
Publisher: Springer Nature
Release Date : 2023-11-05
Introduction To Elastic Wave Propagation written by Anthony Bedford and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-05 with Technology & Engineering categories.
This revised and updated edition expands on its explanations of methods used to analyze waves in solid materials, such as the waves created by earthquakes and the ultrasonic waves used to detect flaws in materials and for medical diagnoses. In addition to the traditional methods used to analyze steady-state and transient waves in elastic materials, the book contains introductions to advanced areas that no other single text covers. These topics include the use of finite elements to solve wave problems, the Cagniard-de Hoop method, the four-pole technique for analyzing waves in layered media, and the growth and decay of shock and acceleration waves. The authors explain the theory of linear elasticity through the displacement equations of motion, methods used to analyze steady-state and transient waves in layered media, and include an appendix on functions of a complex variable. Originally developed for a graduate course for which no suitable text existed, the new edition retains its classroom-tested treatment of the theories of linear elasticity and complex variables for students needing background in those subjects.
Introduction To Elastic Wave Propagation
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Author : A. Bedford
language : en
Publisher:
Release Date : 1994-09-06
Introduction To Elastic Wave Propagation written by A. Bedford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-06 with Science categories.
This volume outlines the basic concepts and methods of the theory of wave propagation in elastic materials. The linear theory of elasticity is covered, culminating in the displacement equations of motion. One-dimensional waves are analyzed through the D'Alembert solution.
Elastic Waves In Solids
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Author : E. Dieulesaint
language : en
Publisher: John Wiley & Sons
Release Date : 1980
Elastic Waves In Solids written by E. Dieulesaint and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Science categories.
Wave Propagation In Elastic Solids
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Author : J. D. Achenbach
language : en
Publisher: Elsevier
Release Date : 2016-01-21
Wave Propagation In Elastic Solids written by J. D. Achenbach and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-21 with Science categories.
Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Theory Of Elastic Waves In Crystals
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Author : Fedor I. Fedorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Theory Of Elastic Waves In Crystals written by Fedor I. Fedorov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
The translation into English of Academician Fedorov's ex cellent treatise on elastic wave propagation in solids has come at an opportune time. His systematic exposition of all aspects of this field is most lucid and straightforward. The author has gone to considerable pains to develop in his mathematical background a consistent tensor framework which acts as a unifying motif through out the various aspects of the subject. In many respects his approach will appear quite novel as his treatment introduces several concepts and parameters previously unfamiliar to the literature of the West. Extensive tables in the final chapters illustrate the application of these ideas to the exist ing body of experimental data. The book is both extensive and comprehensive in al1 phases of the subject. Workers in the fields of ultrasonic propagation and elastic properties will find this treatise of great interest and direct concern. H. B. Huntington Rensselaer Polytechnic Institute Troy, New York November 1967 v Preface to the American Edition In preparing this edition I have corrected various misprints and errors appearing in the Russian edition, but I have also incorpo rated some substantial changes and additions, the latter representing some results I and my colleagues have recently obtained and pub_ lished in Russian journals. For example, in section 32 I have added a general derivation of the equation for the seetion of the wave surface by a symmetry plane for cubic, hexagonal, tetragonal, and orthorhombic crystals.
Integral Equation Methods For Electromagnetic And Elastic Waves
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Author : Weng Cho Chew
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2009
Integral Equation Methods For Electromagnetic And Elastic Waves written by Weng Cho Chew and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Elastic waves categories.
Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Modern Problems In Elastic Wave Propagation
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Author : Julius Miklowitz
language : en
Publisher: John Wiley & Sons
Release Date : 1978-10-27
Modern Problems In Elastic Wave Propagation written by Julius Miklowitz and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-10-27 with Science categories.
Gives an up-to-date, interdisciplinary account of important research findings, covering theoretical and practical applications of elastic wave propagation. Discusses waves in a linear, homogenous, isotropic boundaries, and modern problems in wave phenomena such as diffraction, scattering, reflection, and dispersion, as well as higher order effects. Uses analytical, numerical, and experimental methods.
Wave Propagation In Elastic Solids
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Author : Jan Achenbach
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Wave Propagation In Elastic Solids written by Jan Achenbach and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.