Abstract
This paper is concerned with the plane strain in a theory for an arbitrary, uniformly rotating, self-gravitating, perfectly elastic Earth model with a hydrostatic initial stress field. Using the associated matrices method, a representation of Galerkin type is given. This representation enables us to derive the solution of the vibration problem corresponding to concentrated body forces.
Highlights
INTRODUCTIONDahlen (3) has developed the linearized equations and linearized boundary and continuity conditions governing small elastic-gravitational disturbances awayfrom equilibrium of an arbitrary uniformly rotating, self-gravitating, perfectly elastic Earth model with an arbitrary initial static stress field [see, Boschi (')]
Dahlen (3) has developed the linearized equations and linearized boundary and continuity conditions governing small elastic-gravitational disturbances awayfrom equilibrium of an arbitrary uniformly rotating, self-gravitating, perfectly elastic Earth model with an arbitrary initial static stress field [see, Boschi (')].( * ) This work has been made during a tenure of a C.N.R. fellowship
In this paper we consider this theory in the case of a hydrostatic initial stress field and derive the equations for the plane strain
Summary
Dahlen (3) has developed the linearized equations and linearized boundary and continuity conditions governing small elastic-gravitational disturbances awayfrom equilibrium of an arbitrary uniformly rotating, self-gravitating, perfectly elastic Earth model with an arbitrary initial static stress field [see, Boschi (')]. ( * ) This work has been made during a tenure of a C.N.R. fellowship. ( * * ) On leave from istituto di Geofisica, Università di Bologna, and Istituto di Scienze della Terra, Università di Ancona
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