Stresses in an isolated sphere

Abstract

We consider a perfectly elastic sphere, the material of which is subject only to the gravitational attraction of its own mass. It is then assumed that the sphere contains an incompressible core. Assuming that the thickness of the shell is small relative to the radius of the core, we obtain a formula for the stresses in meridional sections, which was previously derived by various authors (including Academician Bynnik) under entirely different assumptions.

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