Scattering of a spherical wave by an elastic solid cylinder

According to Poisson’s theory of the internal friction of fluids, a viscous fluid behaves as an elastic solid would do if it were periodically liquefied for an instant and solidified again, so that at each fresh start it becomes for the moment like an elastic solid free from strain. The state of strain of certain transparent bodies may be investigated by means of their action on polarized light. This action was observed by Brewster, and was shown by Fresnel to be an instance of double refraction. In 1866 I made some attempts to ascertain whether the state of strain in a viscous fluid in motion could be detected by its action on polarized light. I had a cylindrical box with a glass bottom. Within this box a solid cylinder could be made to rotate. The fluid to be examined was placed in the annular space between this cylinder and the sides of the box. Polarized light was thrown up through the fluid parallel to the axis, and the inner cylinder was then made to rotate. I was unable to obtain any result with solution of gum or sirup of sugar, though I observed an effect on polarized light when I compressed some Canada balsam which had become very thick and almost solid in a bottle.

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Dilatational Spherical Wave Propagations of Multiple Energy Sources in Viscous Fluid-Saturated Elastic Porous Media

Volume 4: Dynamics, Control and Uncertainty, Parts A and B ◽

10.1115/imece2012-85684 ◽

2012 ◽

Cited By ~ 1

Author(s):

Lu Han ◽

Liming Dai

Keyword(s):

Porous Media ◽

Viscous Fluid ◽

Spherical Wave ◽

Elastic Solid ◽

Stress Waves ◽

Fluid Viscosity ◽

Fundamental Theory ◽

Compressible Viscous Fluid ◽

Dissipation Term ◽

Representative Model

Biot developed a representative model for the propagation of stress waves in a porous elastic solid containing a compressible viscous fluid, which is the fundamental theory about wave propagation in porous media. The solution proposed in that work has the same form under the model with or without fluid viscosity, though it is conflicted with the energy dissipation when the viscosity of flow is involved. In this study, the solution under the viscosity model has been modified with the exponential time dissipation term introduced to different forms under light and heavy viscosity, which complies with Biot’s oscillation form when there is no damping caused by fluid viscosity, and makes more sense as less oscillatory when the viscosity becomes large, as the energy will be dissipated in that case.

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Torsion of an Elastic Solid Cylinder Embedded in an Elastic Half Space.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.64.650 ◽

1998 ◽

Vol 64 (619) ◽

pp. 650-655 ◽

Cited By ~ 1

Author(s):

Hisao HASEGAWA ◽

Fumio ICHIKAWA

Keyword(s):

Half Space ◽

Elastic Solid ◽

Elastic Half Space ◽

Solid Cylinder

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Static, Transient and Free Vibirational analysis of thermo magneto electric elastic solid cylinder

International Journal of Engineering & Technology ◽

10.14419/ijet.v7i2.21.11854 ◽

2018 ◽

Vol 7 (2.21) ◽

pp. 144

Author(s):

S Karthikeyan ◽

T K. Parvatha Varthini

Keyword(s):

Finite Element ◽

Finite Difference ◽

Free Vibration Analysis ◽

Elastic Solid ◽

Wave Number ◽

Solid Cylinder ◽

Numerical Work ◽

Global Dynamic ◽

Hybrid Numerical Method ◽

Stiffness And Damping

In this paper the static, transient and free vibration analysis of a thermo- magneto-electric-elastic solid cylinder is analyzed stochastically by using hybrid numerical method (combined finite element and Newmark finite difference method).An infinite solid cylinder made up of 6mm class considered. The constitutive equations containing the mechanical, magnetic, electrical and thermal fields and investigated by free and forced Vibirational boundary conditions. The transient finite element equations are obtained by assumed shape functions. After assembling the Mass, Stiffness and Damping and matrices, the global dynamic equations are in the form of time field. The resulting equations are solved by using the finite difference technique with suitable time instants. By using material constants values the displacement, velocity and acceleration of vibrations are obtained with various time values and the non dimensional frequencies are also obtained by different values of non dimensional wave number. Numerical work is carried out by the electric and magnetic materials Cdse and CoFe2o4. The outcomes are tabulated and represented graphically.

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The Influence of the Curvature of Spherical Waves on Dynamic Stress Concentration

Journal of Applied Mechanics ◽

10.1115/1.3607692 ◽

1967 ◽

Vol 34 (2) ◽

pp. 373-379 ◽

Cited By ~ 13

Author(s):

F. C. Moon ◽

Y-H. Pao

Keyword(s):

Stress Concentration ◽

Dynamic Stress ◽

Plane Waves ◽

Spherical Wave ◽

Elastic Solid ◽

Incident Wavelength ◽

Dynamic Stresses ◽

Low Frequencies ◽

Compressional Waves ◽

Spherical Waves

From a study of scattering of spherical compressional waves by a spherical cavity in an elastic solid, the dynamic stresses on the surface of the cavity are computed and compared with those due to plane compressional waves. At low frequencies, stresses due to spherical waves, even with a very small curvature, are higher than the corresponding ones for plane waves. Only when the incident wavelength is shorter than the distance between the source and the cavity can a spherical wave be approximated by a plane wave.

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