Author: Steven Arthur Schechter
Publisher:
ISBN:
Category : Viscoelasticity
Languages : en
Pages : 72

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Book Description

Author: K. C. Valanis
Publisher:
ISBN:
Category : Relaxation phenomena
Languages : en
Pages : 30

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Book Description
"In a recent paper Valanis introduced a superposition principle through which the problem of wave propagation in a linear viscoelastic material with constant Poisson's ration could be reduced to a static elastic problem, an elastic eigenvalue problem and an integrodiffenertial equation of the Volterra type. The virtue of the method is that viscoelastic materials with general experimentally obtained relaxation functions may be treated without difficulty and that existing classic solutions may be utilized to generate viscoelastic solutions with little effort. To illustrate our point we solve three problems of theoretical as well as practical interest. These are: (i) plan waves in a finite thin rod, (ii) cylindrical waves in a solid, infinitely long cylinder, (iii) axial waves in a solid cylinder. For the benefit of the reader, however, we begin by summarizing the essential features of the method."--Introduction.

Author: Jan Achenbach
Publisher: Elsevier
ISBN: 0080934714
Category : Science
Languages : en
Pages : 440

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Book Description
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.

Author: Cold Regions Research and Engineering Laboratory (U.S.)
Publisher:
ISBN:
Category : Frozen ground
Languages : en
Pages : 386

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Book Description

Author: Stanford University. Division of Engineering Mechanics
Publisher:
ISBN:
Category :
Languages : en
Pages : 86

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Book Description

Author: J. D. Achenbach
Publisher: Elsevier
ISBN: 1483163733
Category : Science
Languages : en
Pages : 440

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Book 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. 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.

Author: Herbert Reismann
Publisher:
ISBN:
Category :
Languages : en
Pages : 70

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Book Description
The investigation considers axial wave motion in rods of circular cross-section and compares the predictions of elementary rod theory (as characterized by the wave equation) with those of an improved theory which accounts for longitudinal as well as radial motions. Three specific cases are considered in detail: (a) wave motion in two bonded, semi-infinite rods composed of different materials, (b) wave motion in a rod of finite length bonded at each end to two semi-infinite rods composed of a different material, and (c) dynamic response of a rod of finite length, fixed at one end and suddenly loaded at the other end. Considerable differences in the predictions of the two theories are observed under certain conditions. (Author).

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1074

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Book Description

Author: Martin Schanz
Publisher: Springer Science & Business Media
ISBN: 3540445757
Category : Science
Languages : en
Pages : 176

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Book Description
Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.

Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 676

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Book Description