Elastic-wave radiation from spherical sources
The radiation of spherical compressional waves from a spherical cavity in an ideal elastic solid is treated. The equations for the radiation source and field are written in terms of the reduced-displacement potential. The source equation is studied in terms of characteristic frequencies, corresponding periods and wavelengths, and damping. The field equations for the stresses, strains, radial displacement, etc., are reviewed with regard to the transitions between the near and far fields. The natural parameters for defining the dynamic source and field characteristics are 2b/R and b/a in some cases and a/R in others, where a is the compressional-wave velocity, b the shear-wave velocity, and R the cavity radius. Transient solutions for stresses, strains, radial displacement, etc., include damped sinusoidal oscillations. The initial- and final-value theorems for the Laplace transform are used to obtain solutions for tau (reduced time) ..-->.. 0 + (high-frequency, farfield) and tau ..-->.. infinity (zero-frequency, near-field). 14 figures, 4 tables.
- Research Organization:
- California Univ., Livermore (USA). Lawrence Livermore Lab.
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5577008
- Report Number(s):
- UCRL-52867
- Country of Publication:
- United States
- Language:
- English
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580201* -- Geophysics-- Seismology & Tectonics-- (1980-1989)
CAVITIES
CONFIGURATION
DATA
DATA FORMS
EIGENFREQUENCY
EXPLOSIONS
FOURIER TRANSFORMATION
GRAPHS
INFORMATION
INTEGRAL TRANSFORMATIONS
MATHEMATICAL MODELS
NUMERICAL DATA
SEISMIC P WAVES
SEISMIC WAVES
SPHERICAL CONFIGURATION
STRAINS
STRESSES
THEORETICAL DATA
TRANSFORMATIONS
TRANSIENTS
TRANSMISSION
UNDERGROUND EXPLOSIONS
WAVE PROPAGATION