Wave propagation in elastic solids and solid-fluid mixtures. by R. J. Atkin

Cover of: Wave propagation in elastic solids and solid-fluid mixtures. | R. J. Atkin

Published by University of East Anglia in Norwich .

Written in English

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Thesis (Ph.D.) - University of East Anglia, School of Mathematics and Physics, 1967.

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Open LibraryOL13844783M

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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.

Wave Propagation in Elastic Solids (ISSN Book 16) and millions of other books are available for Amazon Kindle. Learn more Wave Propagation in Elastic Solids (Volume 16) (North-Holland Series in Applied Mathematics and Mechanics (Volume 16)) 1st EditionCited by: Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical by: This highly useful textbook presents comprehensive intermediate-level coverage of nearly all major topics of elastic wave propagation in solids.

The subjects range from the elementary theory of waves and vibrations in strings to the three-dimensional theory of waves Cited by: Introduction to Elastic Wave Propagation [Bedford, A., Drumheller, D.

S.] on *FREE* shipping on qualifying offers. Introduction to Elastic Wave PropagationCited by: 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. Description. This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts.

There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies Book Edition: 1. Wave propagation in elastic solids 4. WAVE PROPAGATION IN MIXTURES Basic state Consider the mixture of an incompressible non-linear elastic solid and an incompressible fluid, and assume that in the reference state sR tnsolid is a continuum (Fig.

1), so that is by: 9. Introduction to Elastic Wave Propagation. Book January Analytical methods in nonlinear wave propagation are presented.

Elastic waves can be visualized in materials by their interaction with light (photoelastic. effect), by the pattern of cracks they initiate, and by the effects they have on crack propagation. Purchase Wave Propagation in Elastic Solids - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1. Structural health monitoring methods based on elastic wave propagation are very diverse and a vast area of approaches are covered.

However, a good understanding of these wave propagation methods cannot be achieved before a fundamental grasp of the basic principles that lie at the foundation of wave generation and propagation in solid media.

In any current course on wave propagation, it seemed essential to mention, at least, the quite amazing results being found on exact, solu-tions for the Korteweg-de Vries equation and related equations.

Since this has now become such a huge subject, the choice was to present a new approach we have developed (largely by R. Rosales), rather than.

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.

This research report contains results obtained by the authors in recent years in the research area of dynamic fracture mechanics and wave propagation in damaged solids. It deals with several topics on wave propagation in elastic solids with cracks.

Coverage includes wave scattering problems by a single crack, a periodic array of collinear cracks in isotropic and transversely isotropic elastic solids, interface cracks with a periodic spacing, and randomly distributed by: The present paper concerned with the reflection and transmission of plane wave from a plane surface separating a micropolar viscoelastic solid (MVES) half-space and a fluid-saturated (FS) incompressible porous solid half-space is studied.

A longitudinal wave (P-wave) or transverse wave (SV-wave) impinges obliquely at the interface. Amplitude Cited by: 1. ES 29!ll-A G. ROGERSON and N.

SCOTT For the general problem of wave propagation in elastic bodies subject to N(ss3) internal constraints 3-N plane wave propagate in all directions other than exceptional ones. Exceptional directions now occur when the constraint vectors associated with the problem are not all linearly by: 5.

H.L. Alberts, in Encyclopedia of Materials: Science and Technology, 2 Measurement of Ultrasonic Wave Velocities. Ultrasonic wave pulses are generated in the solid by bonding piezoelectric transducers, either for longitudinal or for shear propagation modes, to one face of a sample that is prepared with a set of flat and parallel is the most commonly used.

Wave Motion in Elastic Solids. This highly useful textbook presents comprehensive intermediate-level coverage of nearly all major topics of elastic wave propagation in solids. The subjects range. Description: 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.

In the recent decades, there has been a growing interest in micro- and nanotechnology. The advances in nanotechnology give rise to new applications and new types of materials with unique electromagnetic and mechanical properties.

This book is devoted to the modern methods in electrodynamics and acoustics, which have been developed to describe wave propagation in Cited by: 8. The book includes a careful account of the kinematical and dynamical equations of the subject along with constitutive equations that describe the distinguishing responses of compressible fluids, elastic solids, and elastic-plastic and elastic-viscoplastic solids.

The discussion of wave propagation begins with elementary analyses of important. Page - Propagation of elastic wave motion from an impulsive source along a fluid/solid interface; I. Appears in 41 books from Page - Wood, AB, A Textbook of Sound, G.

Bell and Sons Ltd., London,pp. 3 Gouse, S. \V., Jr., und Brown, GA, "A Survey of the Velocity of Sound in Two-Phase Mixtures.

Wave Propagation In Elastic Solids J. Achenbach Item Preview Internet Archive HTML5 Uploader plus-circle Add Review. comment. Reviews There are no reviews yet.

Be the first one to write a review. Views. DOWNLOAD OPTIONS download 1 file. This paper concentrates on the propagation of waves in a layer of binary mixture of elastic solids subjected to stress free boundaries.

Secular equations for the layer corresponding to. This highly useful textbook presents comprehensive intermediate-level coverage of nearly all major topics of elastic wave propagation in solids. The subjects range from the elementary theory of waves and vibrations in strings to the three-dimensional theory of waves in thick plates.

The Brand: Dover Publications. In this paper we associate the variation of attenuation with the imaginary parts of complex effective elastic constants.

These complex elastic constants permit the simulation of wave propagation through two-phase materials by the calculation of wave propagation through homogeneous anisotropic solids.

Savin and Ya. Rushchitskii, “Theory of propagation of waves in a mixture of elastic materials,” in: Abstracts of Papers Presented at Fourth All-Union Conference on Theoretical and Applied Mechanics, Kiev (), p.

Cited by: 3. The problems of wave propagation in a micropolar mixture of porous media have been studied (ignoring thermal effect) [30], and it is found that there exist four coupled longitudinal waves (two.

Elastic waves possess some remarkable properties and have become ever more important to applications in fields such as telecommunications (signal processing), medicine (echography), and metallurgy (non-destructive testing).

These volumes serve as a bridge between basic books on wave phenomena and more technically oriented books on specific applications of wave. Nonlinear effects and asymptotic phenomena will be discussed.

Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. Wave propagation in a transversely isotropic microstretch elastic solid.

The presence of microstretch in transversely isotropic micropolar elastic solid. The growth and decay behavior of shock waves and acceleration waves in various classes of materials is analyzed within the framework of the theory of propagating singular surfaces. The discussion covers the definitions of shock waves and acceleration waves along with their immediate consequences, the general behavior of acceleration waves, and the growth and Author: P.

Chen. Propagation of mechanical waves’ phenomenon is the result of infinitely small displacements of integrated individual particles in the materials. These displacements are governed by Navier-Lame and Navier-Stokes equations in solids and fluids, respectively. In the present work, a generalized Kelvin-Voigt model of viscoelasticity has been proposed with the aim of bridging Cited by: 2.

In the transverse or shear wave, the particles oscillate at a right angle or transverse to the direction of propagation. Shear waves require an acoustically solid material for effective propagation, and therefore, are not effectively propagated in materials such as liquids or gasses.

TY - BOOK. T1 - Wave Propagation in Elastic Solids. AU - Achenbach, J. PY - Y1 - M3 - Book. BT - Wave Propagation in Elastic Solids. PB - North-Holland Publishing Company/American Elsevier. CY - Amsterdam/New York. ER - Achenbach JD. Wave Propagation in Elastic Solids.

Amsterdam/New York: North-Holland Publishing Cited by: Abstract [1] We derive the equations of motion of a double-porosity medium based on Biot's theory of poroelasticity and on a generalization of Rayleigh's theory of fluid collapse to the porous case.

Spherical inclusions are imbedded in an unbounded host medium having different porosity, permeability, and compressibility.

Wave propagation induces local fluid flow between the. Looking at rational solid-fluid mixture theories in the context of their biomechanical perspectives, this work aims at proposing a two-scale constitutive theory of a poroelastic solid infused with an inviscid compressible fluid. The propagation of steady-state harmonic plane waves in unbounded media is investigated in both cases of unconstrained solid-fluid mixtures Cited by: A theoretical model for wave propagation across solid–fluid interfaces with fluid–structure interaction (FSI) was explored by conducting experiments.

Although many studies have been conducted on solid–solid and fluid–fluid interfaces, the mechanism of wave propagation across solid–fluid interfaces has not been well by: 3. Mathematical Modeling of Wave Propagation in Elastic Solids The theory of elasticity describes that the fundamental elastic body waves that travel in an elastic solid are longitudinal (compressional) p-wave and transversal (shear) s-wave[Kirchhoff, G.

()].These waves are uncoupled and mostly linear File Size: KB. Wave Propagation In 2D Functionally Graded Structures Thermo-Elastic Wave Propagation In Functionally Graded Waveguides Introduction To Nanostructures Structure Of Carbon Nanotubes Wave Propagation In MWCNTS Using The Local Euler-Bernoulli Model Wave Parameters Computation   FollowingNovozhilov andBolotin, a linearized theory is obtained from the nonlinear theory of elasticity to investigate waves and vibrations in an elastic solid under initial stress.

Wave propagation in an infinite medium is studied for three cases: (1) hydrostatic compression or tension, (2) uniaxial extension or compression, (3) uniform shear stress (for the case of Cited by:   The theory of microstretch elastic bodies was first developed by Eringen (, ).

This theory was developed by extending the theory of micropolar elastcity. Each material point in this theory has three deformable directors.

The governing equations of a transversely isotropic microstretch material are specialized in x-z plane. Plane wave solutions Cited by: 1.

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