The equilibrium configuration of the earth involving minimum stress difference.

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Earth: Figure, Geopotential

Scientific paper

From a theoretical point of view it is possible to consider the earth as a selfgravitating fluid. The equilibrium configuration of the earth, known as its hydrostatic equilibrium, may be sought in this scheme. The term stress difference is used to mean the non-hydrostatic part of the stress tensor. In this paper, the principal aim is to perform a further step of considering the external crust of the earth as a perfect solid which is bounded by the external observed topography and the internal computed Mohorovčic discontinuity. The internal part of the earth is treated in such a way as to minimize the stress difference. The author considers a radial homogeneous model of density and a number of different shells in the interior of the earth, each one with constant density. The shape of each shell is then sought that is as close as possible to the equilibrium shape in a hydrostatic configuration. The author considers three cases and finds an internal configuration of the earth, starting from a radial homogeneous model of density.

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