Thermal Effects in Viscoelastic Wave Propagation PDF Download

Author: Shih-Jung Chang
Publisher:
ISBN:
Category : Thermal stresses
Languages : en
Pages : 65

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Author: Shih-Jung Chang
Publisher:
ISBN:
Category :
Languages : en
Pages : 73

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This paper mainly deals with dynamic problems in linear viscoelastic solids when the effect of thermomechanical coupling is considered, that is, the interaction between the stress field and the temperature field. Throughout the analysis a thermorheologically simple material is studied. According to Schapery's theory of thermomechanical phenomena for linear viscoelasticity, the energy equation is derived but with a modified form of the operational specific that which gives additional expressfions in the strain components. The linearity of the displacement vector in the equations of motion and the boundary condition makes it possible to separate the problem into two parts: one due to thermal expansion with the other due to boundary traction. For sinusoidal boundary traction, the system of equations associated with boundary stress assumes a similar form to that in elasticity with the elastic constants depending on the position vector. For the case of axial symmetry the solution is found by the method of internal reflection which was initiated by H. Bremmer for the solution of the one-dimensional inhomogeneous wave equation. By the use of this solution numerical values of the temperature profile and stress field are found. (Author).

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

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Author: Calman Pecker
Publisher:
ISBN:
Category : Thermodynamics
Languages : en
Pages : 72

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Author: Roger Borcherdt
Publisher: Cambridge University Press
ISBN: 1108495699
Category : Science
Languages : en
Pages : 519

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A rigorous self-contained exposition of the mathematical theory for wave propagation and general ray theory in layered viscoelastic media.

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 980

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Author: Józef Ignaczak
Publisher: Oxford University Press
ISBN: 0199541647
Category : Language Arts & Disciplines
Languages : en
Pages : 432

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A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.

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

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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.

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

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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: Robert Charles Petrof
Publisher:
ISBN:
Category : Elastic rods and wires
Languages : en
Pages :

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