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

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Summary

INTRODUCTION

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

BOSCHI
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