scholarly journals GENERALIZED THERMO ELASTIC WAVES IN A CYLINDRICAL PANEL EMBEDDED ON ELASTIC MEDIUM

2013 ◽  
Vol 17 (1) ◽  
pp. 1-15
Author(s):  
P. Ponnusamy ◽  
R. Selvamani
Keyword(s):  
Elastic Medium ◽  
Elastic Waves ◽  
Cylindrical Panel

Diffraction of impulsive elastic waves by a fluid cylinder

1974 ◽  
Vol 75 (3) ◽  
pp. 391-404 ◽  
Author(s):  
Ramanand Jha
Keyword(s):  
Exact Solution ◽  
Circular Cylinder ◽  
Elastic Medium ◽  
Elastic Waves ◽  
Line Source ◽  
Inviscid Fluid ◽  
Geometrical Theory ◽  
Shadow Zone ◽  
Integral Transformations ◽  
Geometrical Theory Of Diffraction

AbstractIn this paper, the problem of diffraction of an impulsive P wave by a fluid circular cylinder has been considered. The cylinder is embedded in an unbounded isotropic homogeneous elastic medium and it is filled with inviscid fluid material. The line source, giving rise to the incident front, is situated outside the cylinder parallel to its axis.The exact solution of the problem is obtained by using the method of dual integral transformations. The solution is evaluated approximately to obtain the motion on the wave front in the shadow zone of the elastic medium. Further, we interpret the approxi mate solutions in terms of Keller's geometrical theory of diffraction. Our result also gives a correction to an earlier investigation of the similar problem by Knopoff and Gilbert(s).

THE PRODUCTION OF ELASTIC WAVES BY EXPLOSION PRESSURES. I. THEORY AND EMPIRICAL FIELD OBSERVATIONS

Geophysics ◽  
1942 ◽  
Vol 7 (2) ◽  
pp. 144-154 ◽  
Author(s):  
Joseph A. Sharpe
Keyword(s):  
Elastic Medium ◽  
Elastic Waves ◽  
Qualitative Agreement ◽  
Spherical Cavity ◽  
Wave Motion ◽  
Arbitrary Form ◽  
Field Observations ◽  
Interior Surface ◽  
Shot Point ◽  
Empirical Field

A solution to the problem of the wave motion produced when a pressure of arbitrary form is applied to the interior surface of a spherical cavity in an ideally elastic medium is derived. This solution is shown to be in qualitative agreement with a number of field observations of the effect of shot‐point conditions on the characteristics of reflection seismograph recordings.

A Student’s Guide to Teleseismic Body Wave Amplitudes

1992 ◽  
Vol 63 (2) ◽  
pp. 169-180 ◽  
Author(s):  
Emile A. Okal
Keyword(s):  
Point Source ◽  
Elastic Medium ◽  
Elastic Waves ◽  
Body Wave ◽  
Seismic Sources ◽  
Geometrical Spreading ◽  
Seismic Amplitude ◽  
Anelastic Attenuation ◽  
Algebraic Expressions ◽  
Double Couple

Abstract We discuss the nature of the various factors contributing to the amplitude of a teleseismic body wave in the context of a geometrical ray solution, specifically: the radiation of elastic waves into an elastic medium by a point source; the radiation patterns resulting from the orientation of the double-couple in space; the effect of propagation through a radially heterogeneous Earth, known as geometrical spreading; the effect of anelastic attenuation; the contribution of depth phases to the seismogram; and finally the influence of distance on the receiver response function. For each of these parameters, we emphasize the physical arguments underlying the exact algebraic expressions of the various factors contributing to the seismic amplitude. Finally, we discuss the extension of the geometrical ray solution to deep seismic sources.

Elastic waves in anisotropic media

1959 ◽  
Vol 253 (1275) ◽  
pp. 563-580 ◽  
Keyword(s):  
Point Source ◽  
Elastic Medium ◽  
Elastic Waves ◽  
Isotropic Medium ◽  
Transversely Isotropic ◽  
Anisotropic Media ◽  
Transversely Isotropic Medium ◽  
Anisotropic Elastic Medium ◽  
Anisotropic Elastic ◽  
Fourier Integrals

The displacements due to a radiating point source in an infinite anisotropic elastic medium are found in terms of Fourier integrals. The integrals are evaluated asymptotically, yielding explicit expressions for displacements at points far from the source. The relative amplitudes of waves from a point source are thus determined, and it is found that although in general the decay of wave amplitudes is proportional to the distance from the source, it is possible that in certain directions the decay is less than this. The method used in this paper is also shown to be an alternative way of deriving known results concerning the geometry of the propagation of disturbances. As an example, the radiation in a transversely isotropic medium from an isolated force varying harmonically with time is discussed.

Transmission and Polarization of Elastic Waves in Irregular Structures

2002 ◽  
Vol 125 (1) ◽  
pp. 2-6 ◽  
Author(s):  
S. B. Platts ◽  
N. V. Movchan ◽  
R. C. McPhedran ◽  
A. B. Movchan
Keyword(s):  
Elastic Medium ◽  
Incident Wave ◽  
Elastic Waves ◽  
Normal Incidence ◽  
Reflection And Transmission ◽  
Irregular Structures ◽  
Multipole Expansions ◽  
Cylindrical Cavities ◽  
Propagation Of Elastic Waves

Propagation of elastic waves in an infinite elastic medium containing a finite array of circular cylindrical cavities is considered. It is assumed that the cavities are equally spaced within each layer, but the cylinder radii, as well as the distance between the layers, may vary from layer to layer. Our objective is to analyze the effect of such an irregularity on scattering properties of the system. Using the method of multipole expansions we evaluate for the case of normal incidence the reflection and transmission matrices for a stack of layers, and find a range of frequencies for which polarization or complete reflection of an incident wave takes place. Presented results highlight the effect of variation in radii and distance between the layers on propagation of elastic waves in such structures.

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