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Wave Propagation in Elastic Solids

Wave Propagation in Elastic Solids
Author: J. D. Achenbach
Publisher: Elsevier
Total Pages: 440
Release: 2016-01-21
Genre: Science
ISBN: 1483163733

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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.


Wave Motion in Elastic Solids

Wave Motion in Elastic Solids
Author: Karl F. Graff
Publisher: Courier Corporation
Total Pages: 690
Release: 2012-04-26
Genre: Science
ISBN: 0486139573

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Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.


Elastic wave propagation in transversely isotropic media

Elastic wave propagation in transversely isotropic media
Author: R.C. Payton
Publisher: Springer Science & Business Media
Total Pages: 214
Release: 1983-10-31
Genre: Science
ISBN: 9789024728435

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In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.


Elastic Wave Propagation and Generation in Seismology

Elastic Wave Propagation and Generation in Seismology
Author: Jose Pujol
Publisher: Cambridge University Press
Total Pages: 462
Release: 2003-05-01
Genre: Science
ISBN: 9780521817301

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Bridging the gap between introductory textbooks and advanced monographs, this book provides the necessary mathematical tools to tackle seismological problems and demonstrates how to apply them. Including student exercises, for which solutions are available on a dedicated website, it appeals to advanced undergraduate and graduate students. It is also a useful reference volume for researchers wishing to "brush up" on fundamentals before they study more advanced topics in seismology.


Theory of Elastic Waves in Crystals

Theory of Elastic Waves in Crystals
Author: Fedor I. Fedorov
Publisher: Springer Science & Business Media
Total Pages: 377
Release: 2013-04-17
Genre: Science
ISBN: 1475712758

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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.


Introduction to Elastic Wave Propagation

Introduction to Elastic Wave Propagation
Author: A. Bedford
Publisher: Wiley
Total Pages: 312
Release: 1996-07-25
Genre: Technology & Engineering
ISBN: 9780471967002

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Earthquakes are detected and studied by measuring the waves they create. Waves are transmitted through the Earth to detect oil and gas deposits and to study the Earth?s geological structure. Properties of materials are determined by measuring the behaviour of waves transmitted through them. In recent years, elastic waves transmitted through the human body have been used for medical diagnosis and therapy. Many students and professionals in various branches of engineering encounter problems requiring an understanding of elastic waves. In this book, they will find the basic concepts and methods of the theory of wave propagation in elastic materials. One-dimensional waves, transient waves and harmonic waves including reflections of plane waves at interfaces. Rayleigh waves, waves in elastic layers and in layered materials are discussed. Analytical methods in nonlinear wave propagation are presented. This book includes exercises with solutions and many explanatory figures.


Elastic Waves in Anisotropic Laminates

Elastic Waves in Anisotropic Laminates
Author: G.R. Liu
Publisher: CRC Press
Total Pages: 474
Release: 2001-11-13
Genre: Technology & Engineering
ISBN: 9781420040999

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Ultrasonic non-destructive evaluation (NDE) plays an increasingly important role in determining properties and detecting defects in composite materials, and the analysis of wave behavior is crucial to effectively using NDE techniques. The complexity of elastic wave propagation in anisotropic media has led to a reliance on numerical methods of analysis-methods that are often quite time-consuming and whose results yield even further difficulties in extracting explicit phenomena and characteristics. Innovative and insightful, Elastic Waves in Anisotropic Laminates establishes a set of high-performance, analytical-numerical methods for elastic wave analysis of anisotropic layered structures. The treatment furnishes a comprehensive introduction, sound theoretical development, and applications to smart materials, plates, and shells. The techniques, detailed in both the time and frequency domains, include methods that combine the finite element method (FEM) with the Fourier transform approach and the strip element method (SEM). These -methods can also be used for expediently finding the Green's function for anisotropic laminates useful for inverse problems related to wave propagation, and methods for inverse analyses, including conjugate gradient methods, and genetic algorithms are also introduced. The text is complemented by many examples generated using software codes based on the techniques developed. Filled with charts and illustrations, Elastic Waves in Anisotropic Laminates is accessible even to readers from non-engineering backgrounds and offers a unique opportunity to discover methods that can lead to an understanding of the dynamic characteristics and wave motion behaviors of advanced composite materials.


Elastic Waves in Solids

Elastic Waves in Solids
Author: E. Dieulesaint
Publisher: John Wiley & Sons
Total Pages: 536
Release: 1980
Genre: Science
ISBN:

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Introduction to Elastic Wave Propagation

Introduction to Elastic Wave Propagation
Author: A. Bedford
Publisher:
Total Pages: 320
Release: 1994-09-06
Genre: Science
ISBN:

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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.


Modern Problems in Elastic Wave Propagation

Modern Problems in Elastic Wave Propagation
Author: Julius Miklowitz
Publisher: John Wiley & Sons
Total Pages: 584
Release: 1978-10-27
Genre: Science
ISBN:

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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.