Open AccessA new derivation of the displacement potentials for motion in a homogeneous isotropic elastic medium
Author(s) -
Frazer L. Neil
Publication year - 1979
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.1979.tb06774.x
Subject(s) - isotropy , tensor (intrinsic definition) , representation (politics) , displacement (psychology) , mathematical analysis , moment (physics) , moment tensor , mathematics , classical mechanics , generality , homogeneous , motion (physics) , cauchy stress tensor , coordinate system , physics , geometry , magnitude (astronomy) , astronomy , politics , political science , law , quantum mechanics , combinatorics , psychology , psychotherapist
Summary. We give a derivation of the displacement potentials and the wave equations which they satisfy. The derivation is similar to one given by Richards but is more general and yields explicit formulas for the source terms. This generality is retained when the moment tensor representation of the source is used. Formulas for the source terms are given in both spherical and cylindrical coordinate systems and are evaluated for the particular case of a point source with second order moment tensor.