Open AccessEigenvibrations of the Earth Excited by Finite Dislocations‐II Spheroidal Oscillations
Author(s) -
Singh Sarva Jit,
BenMenahem Ari
Publication year - 1969
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1969.tb00243.x
Subject(s) - excited state , spherical harmonics , physics , amplitude , dislocation , vector spherical harmonics , classical mechanics , normal mode , harmonics , mechanics , space (punctuation) , geometry , mathematical analysis , mathematics , optics , condensed matter physics , quantum mechanics , vibration , linguistics , philosophy , voltage
Summary The expansion of the normal mode Green's dyad for a radially heterogeneous, self‐gravitating, elastic sphere is obtained in terms of vector spherical harmonics. The Volterra relation is employed to compute the relative amplitudes of the spheroidal oscillations of the sphere excited by a tangential or a tensile dislocation of arbitrary size and orientation. Explicit expressions for the strains, stresses and tilts at the free surface of the sphere are derived in a form suitable for numerical calculations. The problem of a dislocation source in a vertically heterogeneous elastic half‐space is also discussed.