Propagation of elastic waves along a cylindrical cavity filled with a conducting fluid
Elastic wave propagation along cylindrical cavity filled with conducting fluid
CONDUCTING MEDIUM↗
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A problem associated with elastic waves produced by heating of targets with a pulsed- ion beam.
Phase difference due to elastic waves produced by cyclic heating of targets by impacting ions from pulsed beam
PULSED RADIATION↗
Elastic wave propagation for plane strain problems by the theory of characteristics
Elastic wave propagation in two dimensions using theory of characteristics
Ziv, M.↗
Surface elastic wave propagation studies in lunar rocks
Elastic surface wave amplitude and propagation velocity in lunar rocks, calculating Poisson ratio
Housley, R. M.↗
Elastic wave propagation in a highly scattering medium - A diffusion approach
The propagation of elastic waves in the moon, where the first seismograms were characterized by the presence of a long coda attributed to strongly scattered waves, is modeled with the aid of the time-dependent equation of radiative transfer. The average energy density as a function of time and space is described by the diffusion equation with linear dissipation on the assumption that all the energy present has been scattered many times and the time and distance scales of the problem are long compared to the scales of the scattering process. Ultrasonic experiments in the laboratory confirm the applicability of the formalism.
Dainty, A. M.↗
Elastic wave velocities of lunar samples at high pressures and their geophysical implications
Apollo 11 lunar sample elastic wave velocities at high pressures, examining P and S waves, Q value and geophysical implications
Chung, D. H.↗
Grain-grain contact geometry and the propagation of elastic waves in granular media
It is shown that the compliance of an orthogonal grain-grain contact is so insensitive to the grain geometry in the contact region that this geometry is not at present an important parameter in theories of the speed of propagation of elastic waves in granular media, such as occur in the earth and in the moon.
Jones, B. W.↗
Elastic waves guided by a fluid layer - A new type of ultrasonic wave propagation
Ultrasonic wave propagation guided by fluid layer between two elastic solids, plotting normalized velocities and layer thicknesses
Li, R. C. M.↗
Generalized characteristics method for elastic wave propagation problems
Characteristic equations are derived in generalized curvilinear coordinates. Linear elastic, isotropic, and homogeneous constitutive equations have been used in the derivation. The generalized characteristic equations readily lend themselves to any requirements of space dimension and geometry. A simple boundary value problem is solved to indicate the applicability of these equations.
Ziv, M.↗
Scatter of elastic waves by a thin flat elliptical inhomogeneity
Elastodynamic fields of a single, flat, elliptical inhomogeneity embedded in an infinite elastic medium subjected to plane time harmonic waves are studied. Scattered displacement amplitudes and stress intensities are obtained in series form for an incident wave in an arbitrary direction. The cases of a penny shaped crack and an elliptical crack are given as examples. The analysis is valid for alpha a up to about two, where alpha is longitudinal wave number and a is a typical geometric parameter.
Fu, L. S.↗
Elastic wave velocities and thermal diffusivities of Apollo 14 rocks.
The compressional- and shear-wave velocities of Apollo 14 lunar rocks 14311,50 and 14313,27 as functions of pressure up to 10 kb and the thermal diffusivity of sample 14311,50 over the temperature range 100 to 550 K have been measured. Both samples 14311 and 14313 are polymict fragmental rocks. The overall elastic and anelastic behavior of the Apollo 14 samples are similar to those of Apollo 11 and 12 samples; low velocity and low Q at pressures below 1 kb and rapid increase of velocity and Q with pressure are also typical of the Apollo 14 rocks. The available data of P- and S-wave velocities of lunar rocks show that Birch's law holds for the lunar rocks. The thermal diffusivity of a lunar rock in vacuum is found to be significantly lower than that in air at one atmospheric pressure.
Mizutani, H.↗
Convergent laser beam shapes: Unveiling the dynamics of Laser-induced elastic waves in composite materials
Overcoming the low signal-to-noise ratio (SNR) in laser ultrasonic testing of composite materials remains a significant challenge. Current efforts focus on enhancing SNR by inserting more energy into the material through temporal and/or spatial modulation of the laser beam. However, potential SNR improvements through wave convergence and wave energy manipulation have been overlooked. This paper addresses this gap by demonstrating the convergence of different wave types to a designated point and by showing the feasibility of directing absorbed laser energy into a specific wave type through spatial modulation of the laser beam. To achieve this, mathematical expressions for the convergent laser beams are derived. Various laser beam profiles are then introduced to the thermoelastic equations and solved using the finite element method. The sample under investigation is a transversely isotropic unidirectional carbon fiber reinforced plastic, characterized by anisotropic thermal expansion coefficients and thermal conductivities. Results reveal pronounced convergence of the intended wave type at the center due to laser beam shaping. This study showcases the ability to direct absorbed laser energy toward a specific wave type through spatial modulation of the laser beam and highlights the role of material anisotropy in energy focusing.
composite materials↗
Surface elastic wave detectors
The potential applications of acoustic surface wave technology to multiplex communication systems such as data-bus, are examined. The goals are primarily to characterize certain aspects of surface wave trapped delay lines, surface wave modulation techniques, and surface wave applications that are relevant to the evaluation of surface wave devices in multiplex systems. The results indicate that there is a potential for the application of surface wave technology in data-bus type systems.
Lawson, R. L.↗
Elastic wave propagation in a joined cylindrical-conical-cylindrical shell.
The problem of longitudinal impact of a thin finite joined shell, consisting of a cylinder-truncated cone-cylinder, is analyzed both experimentally and analytically. The model analyzed is a 1/100 scale replica of a portion of the Apollo/Saturn V vehicle. Experimental results were obtained from a drop-test system. Longitudinal and circumferential strain pulses were monitored on each section of the joined shell. The velocity of the impacter ring prior to impact was measured and used as a boundary condition in the solution of the governing partial differential equations. A bending theory, including transverse shear, radial inertia, and rotary inertia effects, was used to analyze the finite joined shell. Good agreement between analytical and experimental strain profiles was obtained.
Rose, J. L.↗
Developments in elastic wave propagation in cylindrical shells
Literature on longitudinal wave propagation in cylindrical shells is reviewed.
Oline, L.↗
Elastic wave velocities in anorthosite and anorthositic gabbros from Apollo 15 and 16 landing sites
Laboratory measurements of ultrasonic velocities in lunar samples 15065, 15555, 15415, 60015, and 61016 as well as in synthetic materials corresponding to compositions of anorthositic gabbros are presented as a function of hydrostatic pressure to about 7 kb. The author examined the seismic velocity distributions in the moon with reference to the variations to be expected in a homogeneous medium. The lunar mantle begins about 60 km, and the velocity of P waves in this area is about 7.7 km/sec. Variation of the seismic parameter with depth in the upper crust (about 20 km thick) is much too rapid to be explained by compression of a uniform material and the departure from expectation is so great that no reasonable adjustment of the material parameters can bring agreement; therefore, this author concludes that this result in this region of the moon is not due to self-compression but to textural gradients. In the lower crust (about 40 km thick), the region is shown to be relatively homogeneous, consisting probably of anorthositic rocks.
Chung, D. H.↗
Implications of elastic wave velocities for Apollo 17 rock powders
Ultrasonic P- and S-wave velocities of lunar rock powders 172701, 172161, 170051, and 175081 were measured at room temperature and to 2.5 kb confining pressure. The results compare well with those of terrestrial volcanic ash and powdered basalt. P-wave velocity values up to pressures corresponding to a lunar depth of 1.4 km preclude cold compaction alone as an explanation for the observed seismic velocity structure at the Apollo 17 site. Application of small amounts of heat with simultaneous application of pressure causes rock powders to achieve equivalence of seismic velocities for competent rocks.
Talwani, P.↗
Propagation and scattering of elastic waves in fiber-reinforced plates
The objectives of this program are as follows: modelling of guided waves in fiber-reinforced plates in terms of different modes; and analysis of scattering by transverse cracks using modal representation. A hybrid numerical method combining the finite element representation of a region around the crack with the modal representation in the exterior region will be used in this program. Modes will be obtained using the through-the-thickness discretization of the displacement field.
Bratton, Robert L.↗