scholarly journals Diffraction of Transient Elastic Waves by a Spherical Cavity

1967 ◽  
Vol 34 (3) ◽  
pp. 735-744 ◽  
Author(s):  
F. R. Norwood ◽  
J. Miklowitz
Keyword(s):  
Elastic Waves ◽  
Spherical Cavity ◽  
Point Load ◽  
Cavity Wall ◽  
Analytical Results ◽  
Straight Line

The diffraction of transient elastic waves by a spherical cavity is treated. Two cases are considered: (1) A suddenly applied normal point load, and (2) the impingement of a plane transient dilatational pulse on the cavity. The method used determines the solution only in the shadow zones; that is, those points which cannot be connected to the source of disturbance by straight-line rays. Analytical results are obtained and evaluated for the displacements at the cavity wall.

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.

Scattering of Elastic Waves from a Spherical Cavity in a Solid Medium

1971 ◽  
Vol 42 (8) ◽  
pp. 3019-3024 ◽  
Author(s):  
David W. Kraft ◽  
Michael C. Franzblau
Keyword(s):  
Elastic Waves ◽  
Spherical Cavity ◽  
Solid Medium ◽  
Scattering Of Elastic Waves

Stress Distributions Analyzed in Bispherical Co-Ordinates

1960 ◽  
Vol 27 (4) ◽  
pp. 726-732 ◽  
Author(s):  
T. P. Mitchell ◽  
J. A. Weese
Keyword(s):  
Stress Distribution ◽  
Spherical Shell ◽  
Internal Pressure ◽  
Half Space ◽  
Linear Elasticity ◽  
Spherical Cavity ◽  
Point Load ◽  
Stress Distributions ◽  
Load Distributions

Boussinesq-Papkovich potentials are used in conjunction with the bispherical co-ordinate system to analyze three problems in the classical theory of linear elasticity: (a) The extension of the Boussinesq point-load problem to that in which the half-space contains a spherical cavity; (b) the determination of the stress distribution in an eccentric spherical shell under uniform internal pressure; (c) the determination of the stress distribution in a half-space containing a uniformly pressurized spherical cavity. Numerical results are presented for representative configurations and load distributions in each case.

scholarly journals The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations

Nanomaterials ◽  
2020 ◽  
Vol 10 (9) ◽  
pp. 1711
Author(s):  
Fernando Lund ◽  
Bruno Scheihing-Hitschfeld
Keyword(s):  
Elastic Waves ◽  
Thermal Transport ◽  
Dislocation Line ◽  
Canonical Quantization ◽  
Angle Of Incidence ◽  
Coupling Constant ◽  
Line Configuration ◽  
Straight Line ◽  
Quantum Dislocations ◽  
Dynamic Dislocation

A canonical quantization procedure is applied to the interaction of elastic waves—phonons—with infinitely long dislocations that can oscillate about an equilibrium, straight line, configuration. The interaction is implemented through the well-known Peach–Koehler force. For small dislocation excursions away from the equilibrium position, the quantum theory can be solved to all orders in the coupling constant. We study in detail the quantum excitations of the dislocation line and its interactions with phonons. The consequences for the drag on a dislocation caused by the phonon wind are pointed out. We compute the cross-section for phonons incident on the dislocation lines for an arbitrary angle of incidence. The consequences for thermal transport are explored, and we compare our results, involving a dynamic dislocation, with those of Klemens and Carruthers, involving a static dislocation. In our case, the relaxation time is inversely proportional to frequency, rather than directly proportional to frequency. As a consequence, the thermal transport anisotropy generated on a material by the presence of a highly-oriented array of dislocations is considerably more sensitive to the frequency of each propagating mode, and, therefore, to the temperature of the material.

Elastic waves generated by loading applied to surface of spherical cavity

1983 ◽  
Vol 21 (11) ◽  
pp. 1369-1378 ◽  
Author(s):  
T.B. Moodie ◽  
A. Mioduchowski ◽  
J.B. Haddow ◽  
R.J. Tait
Keyword(s):  
Elastic Waves ◽  
Spherical Cavity
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