Stresses in an insulated sphere

Abstract

We consider an ideally elastic sphere, the material of which is subject only to the force of attraction of its mass. Then it is assumed that the sphere has an incompressible core. Assuming that the thickness of the shell is small in relation to the radius of the core, we obtain a formula for stresses in meridional sections, previously obtained by different authors (including Academician Bynnik) for completely different assumptions.